CA1106647A - Polylobe drive element - Google Patents
Polylobe drive elementInfo
- Publication number
- CA1106647A CA1106647A CA327,502A CA327502A CA1106647A CA 1106647 A CA1106647 A CA 1106647A CA 327502 A CA327502 A CA 327502A CA 1106647 A CA1106647 A CA 1106647A
- Authority
- CA
- Canada
- Prior art keywords
- drive element
- spiral
- drive
- shaft
- segments
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired
Links
- 239000008188 pellet Substances 0.000 claims description 14
- 230000008878 coupling Effects 0.000 claims description 11
- 238000010168 coupling process Methods 0.000 claims description 11
- 238000005859 coupling reaction Methods 0.000 claims description 11
- 230000000295 complement effect Effects 0.000 claims description 2
- 238000004519 manufacturing process Methods 0.000 abstract description 3
- 239000000463 material Substances 0.000 description 5
- 230000000149 penetrating effect Effects 0.000 description 2
- 101000852483 Homo sapiens Interleukin-1 receptor-associated kinase 1 Proteins 0.000 description 1
- 102100036342 Interleukin-1 receptor-associated kinase 1 Human genes 0.000 description 1
- 230000002411 adverse Effects 0.000 description 1
- 230000003466 anti-cipated effect Effects 0.000 description 1
- 230000000712 assembly Effects 0.000 description 1
- 238000000429 assembly Methods 0.000 description 1
- 230000005540 biological transmission Effects 0.000 description 1
- 238000010276 construction Methods 0.000 description 1
- 230000007797 corrosion Effects 0.000 description 1
- 238000005260 corrosion Methods 0.000 description 1
- 238000001125 extrusion Methods 0.000 description 1
- 238000012423 maintenance Methods 0.000 description 1
- 230000013011 mating Effects 0.000 description 1
- 238000003801 milling Methods 0.000 description 1
Classifications
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16H—GEARING
- F16H57/00—General details of gearing
- F16H57/0018—Shaft assemblies for gearings
- F16H57/0025—Shaft assemblies for gearings with gearing elements rigidly connected to a shaft, e.g. securing gears or pulleys by specially adapted splines, keys or methods
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16D—COUPLINGS FOR TRANSMITTING ROTATION; CLUTCHES; BRAKES
- F16D1/00—Couplings for rigidly connecting two coaxial shafts or other movable machine elements
- F16D1/06—Couplings for rigidly connecting two coaxial shafts or other movable machine elements for attachment of a member on a shaft or on a shaft-end
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16D—COUPLINGS FOR TRANSMITTING ROTATION; CLUTCHES; BRAKES
- F16D1/00—Couplings for rigidly connecting two coaxial shafts or other movable machine elements
- F16D1/06—Couplings for rigidly connecting two coaxial shafts or other movable machine elements for attachment of a member on a shaft or on a shaft-end
- F16D1/08—Couplings for rigidly connecting two coaxial shafts or other movable machine elements for attachment of a member on a shaft or on a shaft-end with clamping hub; with hub and longitudinal key
- F16D1/0817—Couplings for rigidly connecting two coaxial shafts or other movable machine elements for attachment of a member on a shaft or on a shaft-end with clamping hub; with hub and longitudinal key with radial clamping due to rotation along an eccentric surface, e.g. arcuate wedging elements
Landscapes
- Engineering & Computer Science (AREA)
- General Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- Shafts, Cranks, Connecting Bars, And Related Bearings (AREA)
- Mechanical Operated Clutches (AREA)
- Crushing And Grinding (AREA)
Abstract
POLYLOBE DRIVE ELEMENT
Abstract of the Disclosure A shaft drive element is disclosed. The device exhibits the characteristics of maximum engagement contact area, uniform pressure throughout the contact area, variability in lockup and release characteristics as determined by the designer, minimum stress concentration in both the drive and driven element, economy of manufacture, self-centering and ease of assembly. The drive member has a cross section defined by six segments of a logarithmic spiral, three clockwise and three counterclockwise joined end to end. The female drive member having a cross section defined by six segments of the same spiral of slightly greater radius.
Abstract of the Disclosure A shaft drive element is disclosed. The device exhibits the characteristics of maximum engagement contact area, uniform pressure throughout the contact area, variability in lockup and release characteristics as determined by the designer, minimum stress concentration in both the drive and driven element, economy of manufacture, self-centering and ease of assembly. The drive member has a cross section defined by six segments of a logarithmic spiral, three clockwise and three counterclockwise joined end to end. The female drive member having a cross section defined by six segments of the same spiral of slightly greater radius.
Description
sackqround of the Invention The need for a drive element which is capable of transmitting high torques, and which is self-centering, self-releasing, and provides a maximum of surface contact between the drive and driven element has long existed in quick change pellet mills and other applications.
Attempts at joining the drive elements in this and other heavy service have included taper keyed, collets, or bolted connections. ~one of these have proven entirely satisfactory under the adverse conditions of a pellet mill because of point or line contact, accelerated corrosion, and/or close tolerances resulting in manufacturing diffi-culties and/or difficulties in assembly or disassembly of the drive element. The invention described herein elimi-nates these problems while retaining the self-centering features of a tapered fit.
Summary of the Disclosure~
The present invention relates to power drive elements, particularly elements which couple a driving element with a driven element for transmission of power therethrough.
In particular, the invention relates to rotary shaft drive elements having a male and female drive member. More particularly, the invention relates to the configuration of the male and female drive and driven eLement. The invention comprises a noncircular form of intefference fit which in the embodiment described herein is characterized by a polylobe drive element having its contacting surfaces developed from
Attempts at joining the drive elements in this and other heavy service have included taper keyed, collets, or bolted connections. ~one of these have proven entirely satisfactory under the adverse conditions of a pellet mill because of point or line contact, accelerated corrosion, and/or close tolerances resulting in manufacturing diffi-culties and/or difficulties in assembly or disassembly of the drive element. The invention described herein elimi-nates these problems while retaining the self-centering features of a tapered fit.
Summary of the Disclosure~
The present invention relates to power drive elements, particularly elements which couple a driving element with a driven element for transmission of power therethrough.
In particular, the invention relates to rotary shaft drive elements having a male and female drive member. More particularly, the invention relates to the configuration of the male and female drive and driven eLement. The invention comprises a noncircular form of intefference fit which in the embodiment described herein is characterized by a polylobe drive element having its contacting surfaces developed from
- 2 - ~
~..~
a logarithmic spiral~ The coupling is self-centering and may be designed to exhibit either lockup or release charac-teristics after application of -torque.
The objec-t of the present invention is to provide a quick release drive element. It is another object of the inven-tion to provide a self-centering drive elemen-t. It is another objec-t of the invention to provide a driving element whose degrees of release may be determined by the designer.
It is a further object to provide a drive element with a maximum contact drive area having a minimum of stress con-cen-tration points. It is yet another object of the inven-tion to provide a drive element whose fit may be selected over a wide range while retaining the full face drive con-tact.
It is still another object of the present inven-tion to provide a shaft drive element which is extremely strong, economical to manufacture, long in service, and re-quires little maintenance for upkeepO
~ hese and other objects are obtained in a shaft drîve element which comprises: a male coupling member having a lobed cross section defined by a finite number of segments of a logarithmic spiral joined end to end. A female coupling member is also provided and having a lobed cross section de-fined by a like finite number of the same spiral of greater radius joined end to endO One half of the segments are of a clockwise spiral and the other half are of a counterclock-wise spiral for both the male and the female coupling members.
These and other objects of the invention will be-come obvious when the invention is considered and understood ~ in connection with the following description~
i6~
Brlef Description of the Drawin~s FIG. l shows the basic logarithmic spiral development, FIG. 2 shows the application of the logarithmic spiral to a segment of the drive element, FIG. 3 is a partial cross section of a pellet mill showing one application of the drive element, and FIG. 4 is a section taken at Section 4-4 of FIG. 3 showing the driving engagement of the drive element~ This Figure is out of sequence and located on the sheet with FIGS.Il3and22.
Description of the Preferred Embodiment In order to further understand the invention, I will describe it in terms of its application to a pellet mill drive shaft. Quick change die and roller assemblies for pellet mills are well known in the art. One such arrange-ment was described in U.S. Patent No. 3,911,550 which issued October 14, 1975, to Robert W. Gilman, and was assigned to California Pellet Mill Company of San Francisco, California. I will, therefore, not attempt to describe in detail the working and function of a quick change ; pellet mill except as it pertalns to the application of the pre~ent invention. By way of background, however, referring to FIG. 3, a portion of a pellet mill, more specifically the mill main shaft, inner, and outer quill and gear box, is shown. The gear box 1 supports the outer quill 2, the inner quill 3, and the main shaft 4 forming part of the drive for the pellet mill.
The inner and outer quill shafts 2 and 3 are engaged together by means of a driving interface element 5~ The central or main shaft 4, which is nested inside the two ' ' L - . 'J ' / :~
quill shafts, is fixed against rotation, but is axially releasable at the rear end-of the main shaft 4 and held against axial or la~eral movement by a nut a~d washer or similar device (not shown). Mounted on york 6 on the working or the front end of the main shaft are two or more rollers 7 (not fully shown). These rollers are disposed to rotate internally of the pellet mill die 8 whereby as the die rotates around, the roller is driven by the die. The rollers rotate on the interior annular working surface 9 of the die and thereby extrude material outwardly through radially formed holes in the die.
A backup collar ll surrounds the front end of the main shaft and holds the bearing 15 in place axially on the roller shaft. The bearing sleeve 12 mounts a bearing 15 for journaling the main shaft 4 inside the inner quill shaft 3.
A rotational seal 13 is also provided around the main shaft .
to prevent oil from escaping from the bearings out into the feed material and to prevent feed material from penetrating into the bearings from the extrusion area.
A similar outer quill shaft bearing 16 is mounted between the ou~er qulll shaf and the gear box casing l. A
seal 17 prevents oil leakage outside the gear box. A seal 18 is also provided between the innex and outer quill shaft to prevent feed material from penetrating the driving inter- -~ace. A bearing 19 is provided on the back end of the outer quill shaft to journal the outer quill shaft in the gear box casing. The bearing is also appropriately sealed ~o prevent oil leakage~
A centralizer bushing 20 guides the rear end of the inner quill in the outer quill. The arrangerent of bearings 'J,; ~ ; (J '`~ / ~
6~
and seals allows the inner quill 3 and the main shaft 4 to be rapidly separated from the gear box by reroving the retaining nut aAd washer and sliding the asse~bly axially to the right as shown on FIG. 3.
The die 8 may be removed from the inner quill shaft by removal of the die clamp (not shown), which grips the flange of the inner quill shaft 3 and the flange of die 8. It may thus be appreciated by one skilled in the art that the die, -die roller, yoke, main shaft, and the inner quill shaft may 10 be readily removed from the pellet mill for servicing. --Power to rotate the outer quill shaft 2 is transmitted to the outer quill shaft through drive gear 10, which is keyed by means of key 23 to the outer quill shaft. Drive gear 10 is in turn driven by a pinion gear, which is not -~
shown, which further in turn is driven by the power source, -which may be for example an electric motor (not shown).
One skilled in the art can appreciate that to facilitate --~
removal of the inner quill ~haft from the outer quill shaft, -while retaining the capability of transmitting the high drive torque required to rotate the die, will require a coupling or drive element 5. The drive element ~ust be capable of transmitting the high torque involved and readily releasable to facilitate removal.
FIG. 4 is a section view taken at Section 4-4 of FIG. 3 showing the drive element of the present invention which fulfills the demanding requirement~ of this service. The drive element is a special form of noncircular interlocking drive having a male driven element 30 located on the inner , ) ] --~ [J ~ ~ , quill and a female drive element 40 operatively associated with the outer quill surrounding it. The special dri-ie element comprises six segments of a logarithmic spiral which are joined end to end; three segments are formed from a 5 clockwise spiral and three segments from a countercloc~wise spiral of the same radius. The female drive element is formed in the same manner from the same logarithmic spiral, but of a slightly greater radius.
FIG. 1 shows the basic logarithmic spiral development.
FIG. 2 shows the application of the logarithmic spiral to a segment of a drive element. To further explain the nature of the invention and to assist in the understanding of the invention, the following specific example is given for a typical pellet mill drive element. In the preferred embodiment herein described, the drive element will take the form of the three lobed drive and will be referred to as a polylobe drive~ As previ.ously mentioned, the polylobe surface is generated from a portion of a logarithmic spiral.
Referring to FIG. 1, the basic logarithmic spiral may be defined by the equation; R = e a~ where "e" is the well known natural log having the value of approximately 2.3025851 and "a" may be defined by equation; a = l/TAN ~ " is the rotation angle from the start of the spiral, and "R" is the radius of the spiral at the ~ angle.
"~" is defined as the angle at which the logarithmic spiral crosses a radial projection from the center of the spiral with respect to the radial projection. The comple- -mentary angle of ~; that is, 90 minus ~I may ~e characterized as the lockup angle or release angle of the s?iral.
, , The feature of the logarithmic spiral pictured ir. the FIG. 1 tha~ is par~icularly wanted is that the angle - is cons~ant to any radial line or projection drawn from the center of the curve for any given logarithmic spiral. The angle ~ may be changed, but this will generate a new spiral which will have a different physical characteristics in the polylobe drive element.
For purposes of the pellet mill polylobe drive, we have selected a Y angle of 75~ based on the fact that tapered fits with angles greatex than 8 from the center line are characterized as a self-releasing tapers. The 15 lockup angle assures a self-releasing drive. It is anticipated that the useful angle for high capacity drives may vary from 5 to 20 ( ~ + 70 to 85) depending on the materials of construction and degree of lockup desired between the mating parts. The angle ~ is measured in radians and determines which portion of logarithmic spiral is defined. This in turn will determine the distance from the center of the spiral to the curve surface.
The physical size of the parts and the torque to be transmitted from one part to the other determines the applica-tion of the above equations. To illustrate in the preferred embodiment; for example, the pelle~ mill offers certain size limitations into which the polylobe drive element must fit.
~herefore, the range of "R'l is known, and the equation may be solved for ~ at the extreme conditions; that is, the smallest and the largest radius of the drive. For example, in the embodiment shown in FIG. 3, the minimum raclius was 5 5/8 inches. It was also known that we needed a segment of a curve 60 long (360 divided by 6).
. I (J C ,/ 1 Therefore, R = 5 5/8 = e a~
5 5/8 = ~ .2679 or ln 5 5/8 = .2679 6 - 6.4461 RAD
where a = 1 = 1 = .2679 tan y~ tan 75 converting to degrees, we have 369.3330.
This means ~hat in the example the portion of the curve starts at "~" after the spiral is generated around the axis more than one time. To find the radius at the large end of the curve, add 60 to ~he above valve and solve back for R.
Thus: 369.3330Q ~ 60 = 429.3330 = 7.4933 RAD
R = e a~ = e .2679 (7.4933) R = 7.4443"
having found the end points of the curve section, enough intermediate points are ~hen determined to be able to write a program for an N.C. milling machine. This was done at 2 intervals starting with 369.3. This resulted in a series of e ~ s and R's for a 60 segment of the curve. Using three counterclockwise segments of the curve and three clockwise segments of ~he curve gave the total cross section of the shaft of hubA See FIG. 2, where:
A = 60 counterclockwise segment of the logarithmic spiral B = 60 clockwise segment of the logarithmic spiral The most important feature of the polylobe is that the male part can be made significantly smaller than the female part for each of fit together and still not create any high compressive stresses when the two parts are locked together.
To do this, a slightly different section of the same spiral curve is utilized. In the example, a sesme~t of the curve from 369.3 to 429.3 was utilized for the ~ale surlace.
For the female surface, a section bet~een ~70.9 and 430.9 was utilized. This gave a diametral clearance of about .080" between the male and female parts. It also meant that when the male was inserted in the female and torque applied, there was contact over nearly the total length of the driving segment of the polylobe (see FIG. 4). In FI~. 4, the female drive element is shown driving the male driven element in the clockwise direction. As can be seen, approxi-mately 1/2 of the circumferential surface area is used to transmit the torque.
Another feature of the design is that the shaft will center itself in the hub when torque is applied or when rotated. Also the polylobe containing clockwise and counter-clockwise spirals is designed to work in either direction.
If only one direction of rotation is required, one set of spirals can be eliminated.
Although we have described the invention in terms of a three lobed drive, it should be appreciated by one skilled in the ar~ that a suitable drive can result from -two or more lobes.
Although we ha~e described the drive element in terms of a specific embodiment to facilitate understanding, we do not wish to be limited in the scope of the application except as defined by the claims.
~..~
a logarithmic spiral~ The coupling is self-centering and may be designed to exhibit either lockup or release charac-teristics after application of -torque.
The objec-t of the present invention is to provide a quick release drive element. It is another object of the inven-tion to provide a self-centering drive elemen-t. It is another objec-t of the invention to provide a driving element whose degrees of release may be determined by the designer.
It is a further object to provide a drive element with a maximum contact drive area having a minimum of stress con-cen-tration points. It is yet another object of the inven-tion to provide a drive element whose fit may be selected over a wide range while retaining the full face drive con-tact.
It is still another object of the present inven-tion to provide a shaft drive element which is extremely strong, economical to manufacture, long in service, and re-quires little maintenance for upkeepO
~ hese and other objects are obtained in a shaft drîve element which comprises: a male coupling member having a lobed cross section defined by a finite number of segments of a logarithmic spiral joined end to end. A female coupling member is also provided and having a lobed cross section de-fined by a like finite number of the same spiral of greater radius joined end to endO One half of the segments are of a clockwise spiral and the other half are of a counterclock-wise spiral for both the male and the female coupling members.
These and other objects of the invention will be-come obvious when the invention is considered and understood ~ in connection with the following description~
i6~
Brlef Description of the Drawin~s FIG. l shows the basic logarithmic spiral development, FIG. 2 shows the application of the logarithmic spiral to a segment of the drive element, FIG. 3 is a partial cross section of a pellet mill showing one application of the drive element, and FIG. 4 is a section taken at Section 4-4 of FIG. 3 showing the driving engagement of the drive element~ This Figure is out of sequence and located on the sheet with FIGS.Il3and22.
Description of the Preferred Embodiment In order to further understand the invention, I will describe it in terms of its application to a pellet mill drive shaft. Quick change die and roller assemblies for pellet mills are well known in the art. One such arrange-ment was described in U.S. Patent No. 3,911,550 which issued October 14, 1975, to Robert W. Gilman, and was assigned to California Pellet Mill Company of San Francisco, California. I will, therefore, not attempt to describe in detail the working and function of a quick change ; pellet mill except as it pertalns to the application of the pre~ent invention. By way of background, however, referring to FIG. 3, a portion of a pellet mill, more specifically the mill main shaft, inner, and outer quill and gear box, is shown. The gear box 1 supports the outer quill 2, the inner quill 3, and the main shaft 4 forming part of the drive for the pellet mill.
The inner and outer quill shafts 2 and 3 are engaged together by means of a driving interface element 5~ The central or main shaft 4, which is nested inside the two ' ' L - . 'J ' / :~
quill shafts, is fixed against rotation, but is axially releasable at the rear end-of the main shaft 4 and held against axial or la~eral movement by a nut a~d washer or similar device (not shown). Mounted on york 6 on the working or the front end of the main shaft are two or more rollers 7 (not fully shown). These rollers are disposed to rotate internally of the pellet mill die 8 whereby as the die rotates around, the roller is driven by the die. The rollers rotate on the interior annular working surface 9 of the die and thereby extrude material outwardly through radially formed holes in the die.
A backup collar ll surrounds the front end of the main shaft and holds the bearing 15 in place axially on the roller shaft. The bearing sleeve 12 mounts a bearing 15 for journaling the main shaft 4 inside the inner quill shaft 3.
A rotational seal 13 is also provided around the main shaft .
to prevent oil from escaping from the bearings out into the feed material and to prevent feed material from penetrating into the bearings from the extrusion area.
A similar outer quill shaft bearing 16 is mounted between the ou~er qulll shaf and the gear box casing l. A
seal 17 prevents oil leakage outside the gear box. A seal 18 is also provided between the innex and outer quill shaft to prevent feed material from penetrating the driving inter- -~ace. A bearing 19 is provided on the back end of the outer quill shaft to journal the outer quill shaft in the gear box casing. The bearing is also appropriately sealed ~o prevent oil leakage~
A centralizer bushing 20 guides the rear end of the inner quill in the outer quill. The arrangerent of bearings 'J,; ~ ; (J '`~ / ~
6~
and seals allows the inner quill 3 and the main shaft 4 to be rapidly separated from the gear box by reroving the retaining nut aAd washer and sliding the asse~bly axially to the right as shown on FIG. 3.
The die 8 may be removed from the inner quill shaft by removal of the die clamp (not shown), which grips the flange of the inner quill shaft 3 and the flange of die 8. It may thus be appreciated by one skilled in the art that the die, -die roller, yoke, main shaft, and the inner quill shaft may 10 be readily removed from the pellet mill for servicing. --Power to rotate the outer quill shaft 2 is transmitted to the outer quill shaft through drive gear 10, which is keyed by means of key 23 to the outer quill shaft. Drive gear 10 is in turn driven by a pinion gear, which is not -~
shown, which further in turn is driven by the power source, -which may be for example an electric motor (not shown).
One skilled in the art can appreciate that to facilitate --~
removal of the inner quill ~haft from the outer quill shaft, -while retaining the capability of transmitting the high drive torque required to rotate the die, will require a coupling or drive element 5. The drive element ~ust be capable of transmitting the high torque involved and readily releasable to facilitate removal.
FIG. 4 is a section view taken at Section 4-4 of FIG. 3 showing the drive element of the present invention which fulfills the demanding requirement~ of this service. The drive element is a special form of noncircular interlocking drive having a male driven element 30 located on the inner , ) ] --~ [J ~ ~ , quill and a female drive element 40 operatively associated with the outer quill surrounding it. The special dri-ie element comprises six segments of a logarithmic spiral which are joined end to end; three segments are formed from a 5 clockwise spiral and three segments from a countercloc~wise spiral of the same radius. The female drive element is formed in the same manner from the same logarithmic spiral, but of a slightly greater radius.
FIG. 1 shows the basic logarithmic spiral development.
FIG. 2 shows the application of the logarithmic spiral to a segment of a drive element. To further explain the nature of the invention and to assist in the understanding of the invention, the following specific example is given for a typical pellet mill drive element. In the preferred embodiment herein described, the drive element will take the form of the three lobed drive and will be referred to as a polylobe drive~ As previ.ously mentioned, the polylobe surface is generated from a portion of a logarithmic spiral.
Referring to FIG. 1, the basic logarithmic spiral may be defined by the equation; R = e a~ where "e" is the well known natural log having the value of approximately 2.3025851 and "a" may be defined by equation; a = l/TAN ~ " is the rotation angle from the start of the spiral, and "R" is the radius of the spiral at the ~ angle.
"~" is defined as the angle at which the logarithmic spiral crosses a radial projection from the center of the spiral with respect to the radial projection. The comple- -mentary angle of ~; that is, 90 minus ~I may ~e characterized as the lockup angle or release angle of the s?iral.
, , The feature of the logarithmic spiral pictured ir. the FIG. 1 tha~ is par~icularly wanted is that the angle - is cons~ant to any radial line or projection drawn from the center of the curve for any given logarithmic spiral. The angle ~ may be changed, but this will generate a new spiral which will have a different physical characteristics in the polylobe drive element.
For purposes of the pellet mill polylobe drive, we have selected a Y angle of 75~ based on the fact that tapered fits with angles greatex than 8 from the center line are characterized as a self-releasing tapers. The 15 lockup angle assures a self-releasing drive. It is anticipated that the useful angle for high capacity drives may vary from 5 to 20 ( ~ + 70 to 85) depending on the materials of construction and degree of lockup desired between the mating parts. The angle ~ is measured in radians and determines which portion of logarithmic spiral is defined. This in turn will determine the distance from the center of the spiral to the curve surface.
The physical size of the parts and the torque to be transmitted from one part to the other determines the applica-tion of the above equations. To illustrate in the preferred embodiment; for example, the pelle~ mill offers certain size limitations into which the polylobe drive element must fit.
~herefore, the range of "R'l is known, and the equation may be solved for ~ at the extreme conditions; that is, the smallest and the largest radius of the drive. For example, in the embodiment shown in FIG. 3, the minimum raclius was 5 5/8 inches. It was also known that we needed a segment of a curve 60 long (360 divided by 6).
. I (J C ,/ 1 Therefore, R = 5 5/8 = e a~
5 5/8 = ~ .2679 or ln 5 5/8 = .2679 6 - 6.4461 RAD
where a = 1 = 1 = .2679 tan y~ tan 75 converting to degrees, we have 369.3330.
This means ~hat in the example the portion of the curve starts at "~" after the spiral is generated around the axis more than one time. To find the radius at the large end of the curve, add 60 to ~he above valve and solve back for R.
Thus: 369.3330Q ~ 60 = 429.3330 = 7.4933 RAD
R = e a~ = e .2679 (7.4933) R = 7.4443"
having found the end points of the curve section, enough intermediate points are ~hen determined to be able to write a program for an N.C. milling machine. This was done at 2 intervals starting with 369.3. This resulted in a series of e ~ s and R's for a 60 segment of the curve. Using three counterclockwise segments of the curve and three clockwise segments of ~he curve gave the total cross section of the shaft of hubA See FIG. 2, where:
A = 60 counterclockwise segment of the logarithmic spiral B = 60 clockwise segment of the logarithmic spiral The most important feature of the polylobe is that the male part can be made significantly smaller than the female part for each of fit together and still not create any high compressive stresses when the two parts are locked together.
To do this, a slightly different section of the same spiral curve is utilized. In the example, a sesme~t of the curve from 369.3 to 429.3 was utilized for the ~ale surlace.
For the female surface, a section bet~een ~70.9 and 430.9 was utilized. This gave a diametral clearance of about .080" between the male and female parts. It also meant that when the male was inserted in the female and torque applied, there was contact over nearly the total length of the driving segment of the polylobe (see FIG. 4). In FI~. 4, the female drive element is shown driving the male driven element in the clockwise direction. As can be seen, approxi-mately 1/2 of the circumferential surface area is used to transmit the torque.
Another feature of the design is that the shaft will center itself in the hub when torque is applied or when rotated. Also the polylobe containing clockwise and counter-clockwise spirals is designed to work in either direction.
If only one direction of rotation is required, one set of spirals can be eliminated.
Although we have described the invention in terms of a three lobed drive, it should be appreciated by one skilled in the ar~ that a suitable drive can result from -two or more lobes.
Although we ha~e described the drive element in terms of a specific embodiment to facilitate understanding, we do not wish to be limited in the scope of the application except as defined by the claims.
Claims (7)
1. A shaft drive element comprising:
a male coupling member having a lobed cross section defined by a finite number of segments of a log-arithmic spiral joined end to end;
a female coupling member having a lobed cross section defined by a like finite number of the same spiral of greater radius joined end to end; and one half of said segments are of a clockwise spiral, and one half of said segments are of a counter-clockwise spiral for both the male and female coupling member.
a male coupling member having a lobed cross section defined by a finite number of segments of a log-arithmic spiral joined end to end;
a female coupling member having a lobed cross section defined by a like finite number of the same spiral of greater radius joined end to end; and one half of said segments are of a clockwise spiral, and one half of said segments are of a counter-clockwise spiral for both the male and female coupling member.
2. The shaft drive element of claim 1 wherein:
said male coupling member is defined by six seg-ments of a logarithmic spiral joined end to end, and said female coupling member having a cross section defined by six segments of the same spiral.
said male coupling member is defined by six seg-ments of a logarithmic spiral joined end to end, and said female coupling member having a cross section defined by six segments of the same spiral.
3. The shaft drive element of claim 1 wherein:
said logarithmic spiral is defined by the equation R = e a.theta..
said logarithmic spiral is defined by the equation R = e a.theta..
4. The shaft drive element of claim 3 wherein:
"a" is defined as the reciprocal of the tangent of the complementary angle of the lockup angle.
"a" is defined as the reciprocal of the tangent of the complementary angle of the lockup angle.
5. The shaft drive element of claim 4 wherein:
the range of lockup angle is between 5 and 20 degrees.
the range of lockup angle is between 5 and 20 degrees.
6. The shaft drive element of claim 3 wherein:
the lockup angle is approximately 15 degrees.
the lockup angle is approximately 15 degrees.
7. The shaft drive element of claim 1 wherein:
said male coupling member is drivingly engaged with the inner quill shaft of a pellet mill;
said female drive element is drivingly engaged with the outer quill shaft of a pellet mill; and said male drive element and said female drive element cooperate to form a power transmitting drive bet-ween said inner and said outer quill shafts.
said male coupling member is drivingly engaged with the inner quill shaft of a pellet mill;
said female drive element is drivingly engaged with the outer quill shaft of a pellet mill; and said male drive element and said female drive element cooperate to form a power transmitting drive bet-ween said inner and said outer quill shafts.
Applications Claiming Priority (2)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| US91222678A | 1978-06-05 | 1978-06-05 | |
| US912,226 | 1978-06-05 |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CA1106647A true CA1106647A (en) | 1981-08-11 |
Family
ID=25431558
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CA327,502A Expired CA1106647A (en) | 1978-06-05 | 1979-05-10 | Polylobe drive element |
Country Status (9)
| Country | Link |
|---|---|
| JP (2) | JPS54162048A (en) |
| AU (1) | AU525709B2 (en) |
| BR (1) | BR7903502A (en) |
| CA (1) | CA1106647A (en) |
| DE (1) | DE2921977A1 (en) |
| ES (1) | ES481246A1 (en) |
| FR (1) | FR2428174A1 (en) |
| GB (1) | GB2022214B (en) |
| ZA (1) | ZA792320B (en) |
Families Citing this family (10)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| DE3243212A1 (en) * | 1982-11-23 | 1984-05-24 | SWF-Spezialfabrik für Autozubehör Gustav Rau GmbH, 7120 Bietigheim-Bissingen | SMALL ELECTRIC MOTOR WITH AN ANCHOR |
| FI864730A7 (en) * | 1986-11-20 | 1988-05-21 | Ahlstroem Oy | FAESTSYSTEM. |
| US5407295A (en) * | 1991-03-22 | 1995-04-18 | Kuhl; Hans | Shaft-hub linkage |
| KR100215538B1 (en) * | 1992-09-18 | 1999-08-16 | 한스 퀼 | Device for joining two or more members |
| US5456818A (en) * | 1993-11-03 | 1995-10-10 | Ingersoll-Rand Company | Method for preventing fretting and galling in a polygon coupling |
| DE29822158U1 (en) | 1998-12-11 | 1999-05-12 | TRW Occupant Restraint Systems GmbH & Co. KG, 73553 Alfdorf | Device for fixing a body in a cylindrical opening and bearing pin |
| DE19914269A1 (en) * | 1999-03-29 | 2000-10-19 | Bosch Gmbh Robert | Coupling and fuel feed pump with coupling |
| CN103161911B (en) * | 2011-12-16 | 2017-06-30 | 石玉山 | It is a kind of can continuously realize non-closed, etc. the length of side, the mechanism of concentric inscribed polygon |
| JP2017106589A (en) * | 2015-12-11 | 2017-06-15 | 伏虎金属工業株式会社 | Shaft coupling and vane pump |
| CN108579887B (en) * | 2018-06-11 | 2023-06-09 | 天津中德应用技术大学 | Roller press roller assembly structure of non-ridgeline block roller surface |
Family Cites Families (12)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| GB414481A (en) * | 1933-05-08 | 1934-08-09 | Norton Co | Improvements in and relating to power shafts and sleeve elements therefor |
| FR806791A (en) * | 1935-09-20 | 1936-12-24 | Goupille Cannelee Lgc | New device for mounting parts on a shaft |
| GB504982A (en) * | 1937-06-07 | 1939-05-03 | Hermann Riecke | Improvements in sliding change-speed gearing |
| US2213004A (en) * | 1939-01-12 | 1940-08-27 | Hickman Pneumatic Seat Co Inc | Torsion rod mounting |
| US2397382A (en) * | 1944-06-19 | 1946-03-26 | Justice E Smith | Locking device |
| GB589420A (en) * | 1945-03-22 | 1947-06-19 | Hughes Henry & Son Ltd | Improved means for transmitting power from a spindle to parts mounted thereon |
| US2634991A (en) * | 1948-11-13 | 1953-04-14 | William J Stevens | Splineless coupling machine element |
| CH378608A (en) * | 1959-12-22 | 1964-06-15 | Fischer Ag E | coupling |
| US3911550A (en) * | 1972-03-30 | 1975-10-14 | California Pellet Mill Co | Quick-change die and roller assembly |
| JPS5046145U (en) * | 1973-08-24 | 1975-05-08 | ||
| US4036031A (en) * | 1974-08-02 | 1977-07-19 | Woodling George V | Universal connection means in an orbital fluid pressure device |
| US3889323A (en) * | 1974-08-23 | 1975-06-17 | Textron Inc | End attachment for watch bands |
-
1979
- 1979-05-10 CA CA327,502A patent/CA1106647A/en not_active Expired
- 1979-05-14 ZA ZA792320A patent/ZA792320B/en unknown
- 1979-05-16 AU AU47111/79A patent/AU525709B2/en not_active Ceased
- 1979-05-17 GB GB7917234A patent/GB2022214B/en not_active Expired
- 1979-05-30 FR FR7913889A patent/FR2428174A1/en active Granted
- 1979-05-30 DE DE19792921977 patent/DE2921977A1/en not_active Withdrawn
- 1979-06-01 JP JP6755579A patent/JPS54162048A/en active Pending
- 1979-06-04 ES ES481246A patent/ES481246A1/en not_active Expired
- 1979-06-04 BR BR7903502A patent/BR7903502A/en unknown
-
1988
- 1988-05-30 JP JP1988070470U patent/JPS63191202U/ja active Pending
Also Published As
| Publication number | Publication date |
|---|---|
| GB2022214A (en) | 1979-12-12 |
| ZA792320B (en) | 1980-05-28 |
| AU525709B2 (en) | 1982-11-25 |
| FR2428174A1 (en) | 1980-01-04 |
| DE2921977A1 (en) | 1979-12-13 |
| BR7903502A (en) | 1980-01-22 |
| GB2022214B (en) | 1982-07-21 |
| AU4711179A (en) | 1979-12-13 |
| JPS63191202U (en) | 1988-12-09 |
| JPS54162048A (en) | 1979-12-22 |
| FR2428174B1 (en) | 1984-01-20 |
| ES481246A1 (en) | 1980-08-16 |
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Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| MKEX | Expiry |