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JPS6035606B2 - surface pressure detector - Google Patents
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JPS6035606B2 - surface pressure detector - Google Patents

surface pressure detector

Info

Publication number
JPS6035606B2
JPS6035606B2 JP11547581A JP11547581A JPS6035606B2 JP S6035606 B2 JPS6035606 B2 JP S6035606B2 JP 11547581 A JP11547581 A JP 11547581A JP 11547581 A JP11547581 A JP 11547581A JP S6035606 B2 JPS6035606 B2 JP S6035606B2
Authority
JP
Japan
Prior art keywords
detector
pressure
pair
surface pressure
points
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
Application number
JP11547581A
Other languages
Japanese (ja)
Other versions
JPS5817332A (en
Inventor
正俊 石川
誠 下条
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
National Institute of Advanced Industrial Science and Technology AIST
Original Assignee
Agency of Industrial Science and Technology
Priority date (The priority date 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 date listed.)
Filing date
Publication date
Application filed by Agency of Industrial Science and Technology filed Critical Agency of Industrial Science and Technology
Priority to JP11547581A priority Critical patent/JPS6035606B2/en
Publication of JPS5817332A publication Critical patent/JPS5817332A/en
Publication of JPS6035606B2 publication Critical patent/JPS6035606B2/en
Expired legal-status Critical Current

Links

Classifications

    • GPHYSICS
    • G01MEASURING; TESTING
    • G01LMEASURING FORCE, STRESS, TORQUE, WORK, MECHANICAL POWER, MECHANICAL EFFICIENCY, OR FLUID PRESSURE
    • G01L1/00Measuring force or stress, in general
    • G01L1/20Measuring force or stress, in general by measuring variations in ohmic resistance of solid materials or of electrically-conductive fluids; by making use of electrokinetic cells, i.e. liquid-containing cells wherein an electrical potential is produced or varied upon the application of stress

Landscapes

  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Measurement Of Length, Angles, Or The Like Using Electric Or Magnetic Means (AREA)
  • Testing Of Balance (AREA)
  • Force Measurement Appropriate To Specific Purposes (AREA)

Description

【発明の詳細な説明】 本発明は、任意形状面にかかる面圧力の総和及びその重
心、平面の面積及びその中心等を検出するのに用いる面
圧力検出器に関するものである。
DETAILED DESCRIPTION OF THE INVENTION The present invention relates to a surface pressure detector used to detect the sum of surface pressures applied to an arbitrarily shaped surface, its center of gravity, the area of the plane, its center, etc.

加圧により電気抵抗が変化する感圧板を一対の面状抵抗
体で挟着するようにした平面形状が正方形の面圧力検出
器によれば、上記一方の面状抵抗体における一対の対辺
及び他方の面状抵抗体における他の一対の対辺にそれぞ
れ電極を設けて使用することにより面圧力の総和及びそ
の重心等を検出することができる。而して、各種の用途
に適用することを考慮すれば、上記面圧力検出器が正方
形以外の形状であるのが望ましい場合も少なくない。し
かしらがら、両圧力検出器の平面形状が正方形でない場
合には、それにおける各面状抵抗体のいずれの位置に電
極を設けて使用すれば面圧力の総和及びその重心等を正
確に検出できるのかという点に問題がある。本発明は、
上記の鑑み、任意形状面に形成した面圧力検出器を、正
方形とした上記面圧力検出器と同様に簡単に形成して正
確に面圧力の総和等を検出可能としたもので、圧力の作
用で電気抵抗が変化する感圧板を一対の面状抵抗体で挟
着して検出器を任意形状に構成し、その検出器のxy平
面上における平面形状と、その平面形状と相互に一定の
条件のもとに写像した関係にあるuv平面における正方
形とを対比して、検出器に正方形の各頂点に対応する4
点を求め、それらの4点により各面状抵抗体における辺
を相対向する二対の対辺に分割区画し、一方の面状抵抗
体における一対の対辺及び他方の面状抵抗体における他
の一対の対辺にそれぞれ電極を形設したことを特徴とす
るものである。
According to a surface pressure detector having a square planar shape in which a pressure-sensitive plate whose electrical resistance changes when pressurized is sandwiched between a pair of sheet resistors, the pair of opposite sides of one sheet resistor and the other By providing electrodes on the other pair of opposite sides of the sheet resistor, the total surface pressure and its center of gravity can be detected. Therefore, in consideration of application to various uses, it is often desirable that the surface pressure detector has a shape other than a square. However, if the planar shape of both pressure detectors is not square, the total surface pressure and its center of gravity can be accurately detected by installing electrodes at any position of each sheet resistor. There is a problem with whether this is true or not. The present invention
In view of the above, a surface pressure detector formed on an arbitrarily shaped surface can be easily formed in the same manner as the square surface pressure detector described above, and can accurately detect the sum of surface pressure, etc. A pressure-sensitive plate whose electrical resistance changes at 4 corresponding to each vertex of the square on the detector.
Find the points, divide the sides of each sheet resistor into two pairs of opposite sides using those four points, and divide one pair of opposite sides on one sheet resistor and the other pair on the other sheet resistor. The feature is that an electrode is formed on each opposite side of the electrode.

以下、本発明を図面に基づいて詳細に説明すると、第1
図において、1は面圧力検出器、10はそれに接続した
演算回路で、上記面圧力検出器1は、圧力の作用で電気
抵抗が第2図のイ,口あるし・はハに示される如く変化
する感圧導露性ゴム等からなる感圧板2を備え、その両
面を導電性の高い可損性物質からなる面状抵抗体3,4
によって挟着し、平面形状を任意の形状に形成している
Hereinafter, the present invention will be explained in detail based on the drawings.
In the figure, 1 is a surface pressure detector, and 10 is an arithmetic circuit connected to it. It is equipped with a pressure-sensitive plate 2 made of variable pressure-sensitive dew conductive rubber, etc., and its both sides are covered with planar resistors 3 and 4 made of a highly conductive breakable material.
The planar shape is formed into an arbitrary shape by sandwiching the two.

上言己面圧力検出器1における上位及び下位の面状抵抗
体3,4には、x方向及びy方向にそれぞれ対向する電
極S,,S3及びS2,S4を設けているが、それらの
電極は以下に説明するようにして検出器1上に求めた4
点A′〜D′を基準として、上位の面状抵抗体3におい
ては点A′B′,C′〇間に電極S,,S3を、下位の
面状抵抗体4においては点BC′,〇A′間に電極S2
,S4をそれぞれ配設したものである。検出器1上に電
極を設けるための4点A′〜D′を求めるには(第3図
参照)、‘a’y2u(x,y)=y2v(x,y)=
0(k:定数)の条件を満たす写像(x,y)によって
uv平面における正方形の領域8をxy平面における検
出器1の平面形状を示す領域Qに対して写像すればよく
、これにより領域8における頂点A〜○を領域Qにおけ
る点A′〜〇として設定することができる。
The upper and lower sheet resistors 3 and 4 in the self-surface pressure detector 1 are provided with electrodes S, S3 and S2, S4 facing each other in the x direction and the y direction. is obtained on detector 1 as explained below.
With points A' to D' as a reference, electrodes S, S3 are connected between points A'B' and C'〇 on the upper sheet resistor 3, and points BC', S3 are placed between the points A'B' and C'〇 on the lower sheet resistor 4. 〇 Electrode S2 between A'
, S4 are respectively arranged. To find the four points A' to D' for providing electrodes on the detector 1 (see Figure 3), 'a'y2u (x, y) = y2v (x, y) =
It is sufficient to map the square area 8 in the uv plane to the area Q indicating the planar shape of the detector 1 in the xy plane by mapping (x, y) that satisfies the condition of 0 (k: constant). The vertices A to ○ can be set as the points A' to ○ in the region Q.

また、上記各点A′〜D′は複素関数論でいう等角写像
を応用することによって求めることもできる。即ち、x
y平面における領域Qを境界の対応及びA′→A,B′
→B,C′→Cの各点の対応を含めてuv平面に正方形
の領域3として写像する等角写像(u,v)=f(x,
y)を求め、それによって点A′,B′,〇の位置を決
定すると共に、上記関数fの逆関数f‐1によってuv
平面上の点Dをxy平面に写像として点〇を求めればよ
い。なお、この場合において上記‘aー,‘b}の2条
件を満たすことは当然である。上言己構成の圧力検出器
を使用するには、第1図に示すように、電極S,,S3
に抵抗Roを介して電圧+Voを印加すると共に、電極
S2,S4に抵抗Roを介して電圧−Voを印加し、そ
の状態で圧力険出器1上に力を作用させた際の各電極S
,〜S4の電圧V^,Vc,VB,Voを次段の演算回
路10に入力すればよい。
Further, each of the above points A' to D' can also be determined by applying conformal mapping in the theory of complex functions. That is, x
The area Q in the y plane is defined as the boundary correspondence and A'→A, B'
Conformal mapping (u, v) = f (x,
y), thereby determining the positions of points A', B', and 〇, and using the inverse function f-1 of the above function f,
Point 0 can be found by mapping point D on the plane onto the xy plane. In this case, it is a matter of course that the above two conditions 'a-,'b} are satisfied. To use the pressure detector of the above configuration, as shown in FIG.
A voltage +Vo is applied to the electrodes S2 and S4 via the resistance Ro, and a voltage -Vo is applied to the electrodes S2 and S4 via the resistance Ro.
, ~S4 voltages V^, Vc, VB, and Vo can be input to the next stage arithmetic circuit 10.

上記演算回路10は、電極S,,S3の電圧V^,V8
を印加する減算回路11及び電極S2,S4の電圧Vc
,VDを印加する減算回路12をそれぞれ備え、それら
の減算回路11,12からの出力ouち,o山2をそれ
ぞれ割算回路13,14に入力するように構成している
。これと並行して、減算回路15に電極S2の電圧Vc
及び電圧−Voを印加すると共に、減算回路16に電極
S4の電圧Vo及び電圧−Voを印加し、それらの減算
回路15,16からの出力を次段の加算回路17に入力
し、その加算回路17から出力o山3を取出すと共に、
その出力out3を上記割算回路13,14にそれぞれ
入力してそれらの割算回路13,14から出力ouL,
o山5を取出すものである。なお、上記演算回路10‘
こおいては、加算回路17からの出力out3をout
3=2Vo+Vc十Voとして求めるように構成したが
、電圧Vc+Voと電圧−(V^十V8)とが等しいた
め上記出力out3がouら=2Vo−VA−VBとし
て演算されるように回路を構成することもできる。また
、上記演算回路10においては、減算回路15,16に
おける負端子に電圧−Voを印加したが、上記減算回路
15,16に代えて加算回路を用い、それらの正端子に
電圧+Voを印加することができるのは当然である。こ
のようにして演算回路10から敬出した3つの出力ou
ら〜outsが求めようとする面圧力の総和等を示すも
のであるが、上記各出力の内容は検出器1における感圧
板2として第2図に示すいずれの特性のものを用いるか
によって異なる。即ち、上記感圧板2として第2図のイ
に示すように抵抗が圧力に略反比例して低下する特性の
ものを用いた場合には、出力ouらは面圧力の総和、出
力out4,ouWまその重心G(x,y)のx,y座
標をそれぞれ示し、第2図の口に示すように抵抗が圧力
のn案(一般には1<n<3)に反比例して低下する特
性のものを用いた場合には、出力o山3は面圧力分布の
n黍値の総和、出大Put4,out5はその重心Gy
(肌,yn)の柳,yn座標をそれぞれ示し、第2図の
ハに示すように抵抗が一定値以上の圧力を加えることに
より無限大から零に近い一定値まで変化する特性のもの
を用いた場合には、出力out3は面圧力検出器1に当
俵する面の面積、出力out4,out5はその中心○
(滋,略)の滋,ya座標をそれぞれ示す。このように
上記演算回路10から3つの出力out3〜ouらを取
出すことにより目的とする面圧力の総和等を検出するも
のであるが、上記出力out4,out5は出力out
,,ouらを出力out3で割算したものであり、よっ
て基本的には3つの出力o叫,〜out3を求めること
に外ならない。
The arithmetic circuit 10 calculates the voltages V^, V8 of the electrodes S, , S3.
The voltage Vc of the subtraction circuit 11 and the electrodes S2 and S4 that applies
, VD are respectively provided, and the outputs from the subtracting circuits 11 and 12 are input to dividing circuits 13 and 14, respectively. In parallel with this, the voltage Vc of the electrode S2 is applied to the subtraction circuit 15.
At the same time, the voltage Vo of the electrode S4 and the voltage -Vo are applied to the subtraction circuit 16, and the outputs from these subtraction circuits 15 and 16 are input to the next stage addition circuit 17, and the addition circuit While taking out the output o mountain 3 from 17,
The output out3 is inputted to the division circuits 13 and 14, respectively, and outputs ouL,
This is to take out the o-mount 5. Note that the arithmetic circuit 10'
Here, the output out3 from the adder circuit 17 is
The circuit was configured to calculate 3=2Vo+Vc+Vo, but since the voltage Vc+Vo and the voltage -(V^+V8) are equal, the circuit is configured so that the above output out3 is calculated as ou=2Vo-VA-VB. You can also do that. Furthermore, in the arithmetic circuit 10, the voltage -Vo is applied to the negative terminals of the subtraction circuits 15 and 16, but an addition circuit is used in place of the subtraction circuits 15 and 16, and the voltage +Vo is applied to their positive terminals. Of course you can. The three outputs ou extracted from the arithmetic circuit 10 in this way
Outs indicate the total surface pressure to be determined, etc., but the content of each output differs depending on which of the characteristics shown in FIG. 2 is used as the pressure sensitive plate 2 in the detector 1. In other words, when the pressure sensitive plate 2 is of a type in which the resistance decreases in approximately inverse proportion to the pressure as shown in FIG. The x and y coordinates of the center of gravity G (x, y) are shown, respectively, and the resistance decreases in inverse proportion to the n plan of pressure (generally 1<n<3), as shown at the bottom of Figure 2. is used, the output o-mount 3 is the sum of the n-mill values of the surface pressure distribution, and the output outputs Put4 and out5 are the center of gravity Gy.
The yanagi and yn coordinates of (skin, yn) are shown respectively, and as shown in Figure 2 C, the resistance changes from infinity to a constant value close to zero by applying pressure above a certain value. In this case, the output out3 is the area of the surface facing the surface pressure detector 1, and the outputs out4 and out5 are the center ○
The Shigeru and ya coordinates of (Shigeru, omitted) are shown respectively. In this way, the target summation of surface pressure, etc. is detected by taking out the three outputs out3 to out from the arithmetic circuit 10, and the outputs out4 and out5 are
.

而して、上記出力ouL〜out3によって表わされる
物理量はそれぞれ次式によって明らかにされる。out
,=J′ou(x,y)・i(x,y)舷dy=(義十
事k)(〔VA〕S・−〔VAWout2=JJQv(
x,y)・i(x,y)舵dyF(鷺十拳k‐1)(〔
vB〕S2−〔VB〕錨)out3:J′はi(x,y
)舷dy2Vo−〔vA〕S,一〔vA〕$ = R。
The physical quantities represented by the outputs ouL to out3 are each expressed by the following equations. out
, = J'ou(x, y)・i(x,y) dy=(gijujik)([VA]S・−[VAWout2=JJQv(
x, y)・i(x, y) Rudder dyF (Sagi Juken k-1) ([
vB]S2-[VB]anchor) out3:J' is i(x, y
) Ship dy2Vo-[vA]S, 1[vA]$ = R.

2Vo+〔vB〕S2十〔vB〕S4 = R。2Vo+[vB]S20[vB]S4 =R.

ただし、 r :面状抵抗体3,4の表面抵抗 vA:上位の面状抵抗体3の電圧 vB:下位の面状抵抗体4の電圧 i :表面から裏面への電流密度 後:上記正方形の一辺の長さ を示す。however, r: surface resistance of sheet resistors 3 and 4 vA: Voltage of upper sheet resistor 3 vB: Voltage of lower sheet resistor 4 i: Current density from the front surface to the back surface Back: Length of one side of the above square shows.

ここで、rは十分4・さし、と考えられるので、vA,
vBは略一定であり、i(x,y)を感圧板2の特性に
より圧力P(x,y)に対しある関数gを用いてi(x
,y)=g(P(x,y))と表わすことができ、よっ
て特にu=x,v=yであり、且つ前記条件‘a’,(
b’が満足されているものとすれば、ouらをouらで
割ったout4及びout2をout3で割ったo山5
がデカルト座標系のg(P)の重心の位置がわかり、o
ut3自体がその大きさを示すことになる。
Here, r is considered to be 4 times tenths, so vA,
vB is approximately constant, and i(x, y) is calculated using a certain function g for pressure P(x, y) due to the characteristics of the pressure sensitive plate 2.
, y)=g(P(x,y)), and therefore, in particular, u=x, v=y, and the conditions 'a', (
Assuming that b' is satisfied, out4 is obtained by dividing ou et al. by ou et al., and o mountain 5 is obtained by dividing out2 by out3.
The position of the center of gravity of g(P) in the Cartesian coordinate system is known, and o
ut3 itself indicates its size.

このように本発明の面圧力検出器によれば、非正方形状
の検出器を正方形状のものと同様に簡単に構成して平面
圧力の総和等を正確に検出することができる。
As described above, according to the surface pressure detector of the present invention, a non-square detector can be simply constructed in the same way as a square detector, and the sum of the surface pressure, etc. can be accurately detected.

【図面の簡単な説明】[Brief explanation of drawings]

第1図は本発明の面圧力検出器の使用状態の斜視図、第
2図はその感圧板の特性図、第3図はその電極位置を決
定する方法の説明図である。 1・・・・・・面圧力検出器、2・・・・・・感圧板、
3,4・・・・・・面状抵抗体。 第1図 第2図 第3図
FIG. 1 is a perspective view of the surface pressure detector of the present invention in use, FIG. 2 is a characteristic diagram of its pressure sensitive plate, and FIG. 3 is an explanatory diagram of a method for determining the electrode position. 1... Surface pressure detector, 2... Pressure sensitive plate,
3, 4... Planar resistor. Figure 1 Figure 2 Figure 3

Claims (1)

【特許請求の範囲】 1 圧力の作用で電気抵抗が変化する感圧板を一対の面
状抵抗体で挾着することにより任意形状に構成した検出
器に、xy平面における検出器の形状と相互に▲数式、
化学式、表等があります▼ の条件のもとに写像した関係にあるuv平面における正
方形の各頂点に対応する4点を求め、それらの4点によ
り上記面状抵抗体における周辺を相対向する二対の対辺
に分割区画し、一方の面状抵抗体における一対の対辺及
び他方の面状抵抗体における他の一対の対辺にそれぞれ
電極を設けたことを特徴とする圧力検出器。
[Claims] 1. A detector configured in an arbitrary shape by clamping a pressure-sensitive plate whose electrical resistance changes with the action of pressure between a pair of sheet resistors, and a detector having an arbitrary shape that is mutually compatible with the shape of the detector in the xy plane. ▲Math,
There are chemical formulas, tables, etc. ▼ Find four points corresponding to each vertex of the square in the uv plane that has a mapping relationship under the conditions, and use those four points to define two points that face each other around the periphery of the sheet resistor. 1. A pressure detector characterized in that the pressure detector is divided into a pair of opposite sides, and electrodes are provided on the pair of opposite sides of one sheet resistor and the other pair of opposite sides of the other sheet resistor.
JP11547581A 1981-07-22 1981-07-22 surface pressure detector Expired JPS6035606B2 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP11547581A JPS6035606B2 (en) 1981-07-22 1981-07-22 surface pressure detector

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP11547581A JPS6035606B2 (en) 1981-07-22 1981-07-22 surface pressure detector

Publications (2)

Publication Number Publication Date
JPS5817332A JPS5817332A (en) 1983-02-01
JPS6035606B2 true JPS6035606B2 (en) 1985-08-15

Family

ID=14663447

Family Applications (1)

Application Number Title Priority Date Filing Date
JP11547581A Expired JPS6035606B2 (en) 1981-07-22 1981-07-22 surface pressure detector

Country Status (1)

Country Link
JP (1) JPS6035606B2 (en)

Also Published As

Publication number Publication date
JPS5817332A (en) 1983-02-01

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