JPS6310368B2 - - Google Patents

Info

Publication number
JPS6310368B2
JPS6310368B2 JP6059982A JP6059982A JPS6310368B2 JP S6310368 B2 JPS6310368 B2 JP S6310368B2 JP 6059982 A JP6059982 A JP 6059982A JP 6059982 A JP6059982 A JP 6059982A JP S6310368 B2 JPS6310368 B2 JP S6310368B2
Authority
JP
Japan
Prior art keywords
strain
free end
detection means
weighing device
generating body
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
JP6059982A
Other languages
Japanese (ja)
Other versions
JPS58178223A (en
Inventor
Masahito Nagayama
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.)
Panasonic Electric Works Co Ltd
Original Assignee
Matsushita Electric Works Ltd
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 Matsushita Electric Works Ltd filed Critical Matsushita Electric Works Ltd
Priority to JP6059982A priority Critical patent/JPS58178223A/en
Publication of JPS58178223A publication Critical patent/JPS58178223A/en
Publication of JPS6310368B2 publication Critical patent/JPS6310368B2/ja
Granted legal-status Critical Current

Links

Classifications

    • GPHYSICS
    • G01MEASURING; TESTING
    • G01GWEIGHING
    • G01G21/00Details of weighing apparatus
    • G01G21/24Guides or linkages for ensuring parallel motion of the weigh-pans

Landscapes

  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Measurement Of Force In General (AREA)

Description

【発明の詳細な説明】 本発明は偏置誤差を解消した計重器に関する。[Detailed description of the invention] The present invention relates to a weighing device that eliminates eccentricity errors.

計重器の構成としては種々のものが提案されて
いるが、ビーム(はり)の曲げモーメントによる
歪もしくはたわみ(変位)を検出し、重量に変換
して表示するものがある。第1図にその従来の計
重器の要部、すなわち起歪体周辺の構成を示す。
起歪体1はロバーバル機構を構成するもので、被
測定物の荷重が作用する水平メンバの他にもう一
つの水平メンバを下方に設け、上下の水平メンバ
の両端を他のメンバをもつて連結し、一端を装置
内壁に固定してなる。また図中において2はスト
レインゲージであつて、起歪体1の各部に貼り付
けられ、荷重による起歪体1の歪を検出するもの
である。
Although various configurations of weighing devices have been proposed, there is one that detects strain or deflection (displacement) due to the bending moment of a beam, converts it into weight, and displays it. FIG. 1 shows the main part of the conventional weighing device, that is, the structure around the strain body.
The strain body 1 constitutes a Roberval mechanism, in which in addition to the horizontal member on which the load of the object to be measured acts, another horizontal member is provided below, and both ends of the upper and lower horizontal members are connected with the other member. and one end is fixed to the inner wall of the device. Further, in the figure, reference numeral 2 denotes a strain gauge, which is attached to each part of the strain body 1 to detect the strain of the strain body 1 due to a load.

さて、被測定物の荷重は図中太矢印の位置に作
用するわけであるが、必ずしも真下に向く成分だ
けとは限らず、上皿(図示せず)に載せられた被
測定物の偏置により、図中X軸またはY軸方向に
モーメントを生ずることが多々ある。しかして、
X軸方向の偏置に対しては、ロバーバル機構を採
用しているため測定値に影響を与えることはない
が、Y軸方向の偏置に対しては起歪体1がねじれ
を起こし、検出される歪の値に影響を与え、いわ
ゆる偏置誤差を生じる欠点がある。
Now, the load on the object to be measured acts on the position indicated by the thick arrow in the figure, but it does not necessarily apply only to the downward component, but also on the eccentric position of the object placed on the upper plate (not shown). Therefore, a moment is often generated in the X-axis or Y-axis direction in the figure. However,
For eccentricity in the X-axis direction, the Roberval mechanism is adopted, so it does not affect the measured value, but for eccentricity in the Y-axis direction, the strain body 1 twists and the detection is difficult. This method has the disadvantage that it affects the value of the distortion that is applied, resulting in a so-called eccentricity error.

上記偏置誤差を低減する方法として、起歪体1
の幅wを大きくとり、ねじりに対する剛性を増
し、曲げモーメントによる歪εとねじり力による
歪ε′との関係を ε′/ε<必要とされる精度 とすることにより、偏置誤差をある程度は解消す
ることができるが、その効果はあまり期待できな
い。また、ねじり力による歪ε′を計測し、検知す
べき曲げモーメント歪εを求めるべく、合歪ε″か
ら、 ε=ε″−ε′ なる演算を行う機能を付加した装置もあるが、構
成が非常に複雑となり、精度の点でも不十分なも
のであつた。
As a method of reducing the above-mentioned eccentricity error, the strain-generating body 1
By increasing the width w, increasing the rigidity against torsion, and setting the relationship between the strain ε due to the bending moment and the strain ε′ due to the torsional force to be ε′/ε<< the required accuracy, the eccentricity error can be reduced to some extent. It can be resolved, but the effect is not expected to be that great. There is also a device that measures the strain ε′ due to torsional force and has the added function of calculating ε=ε″−ε′ from the combined strain ε″ in order to find the bending moment strain ε to be detected. was extremely complex and lacked precision.

本発明は上記の点に鑑み提案されたものであ
り、ロバーバル機構を構成する起歪体の自由端部
左右両側に、その左右両側のたわみ(変位)を検
出する二組の検出手段を設け、これら検出手段か
ら得られた信号を平均して重量検出に用いること
により、偏置誤差を完全に解消し、測定精度の高
い計重器を提供することを目的とする。
The present invention has been proposed in view of the above points, and includes two sets of detection means for detecting deflection (displacement) on both the left and right sides of the free end of the strain body constituting the Roberval mechanism. It is an object of the present invention to provide a weighing device that completely eliminates eccentricity errors and has high measurement accuracy by averaging the signals obtained from these detection means and using it for weight detection.

以下、実施例を示す図面に従つて本発明を詳述
する。
Hereinafter, the present invention will be described in detail with reference to the drawings showing examples.

第2図,第3図に示すのは本発明の第1の実施
例であり、第2図は起歪体周辺の構成図、第3図
は検出から重量表示までの信号処理部の構成を示
す回路図である。
Figures 2 and 3 show the first embodiment of the present invention, with Figure 2 showing the configuration of the flexure body and its surroundings, and Figure 3 showing the configuration of the signal processing section from detection to weight display. FIG.

第2図において、その構成を説明すると、一端
が装置内壁に固定された起歪体1の自由端部左右
両側には凸部1a,1bが設けられ、上皿3を保
持する起歪体補助材4の下端がこの凸部1a,1
bと連結され、起歪体3に荷重を与えている。一
方、凸部1a,1bの端面には垂線とθなる角度
をもつて反射板5a,5bが取り付けられてお
り、反射板5a,5bを介して発光素子6a,6
bと受光素子7a,7b間の光路が形成されてい
る。ここで、発光素子6a,6bはある面積をも
つた光ビームを照射するもので、放射された光ビ
ームは反射板5a,5bを介して受光素子7a,
7bへ導かれる。受光素子7a,7bは、例えば
太陽電池n個を直線的に配列して構成されたもの
であり、光ビームの当つた太陽電池からのみ出力
が得られ、その位置を知ることができる。すなわ
ち起歪体1のたわみが反射板5a,5bの角度変
化に変換され、これが反射光の到達位置を変化せ
しめ、受光素子7a,7bによりその位置変化を
検出するわけである。
Referring to FIG. 2, the configuration is explained. Convex portions 1a and 1b are provided on both left and right sides of the free end of the flexure element 1, one end of which is fixed to the inner wall of the device, and the flexure element auxiliary for holding the upper plate 3. The lower end of the material 4 is the convex portion 1a, 1
b, and applies a load to the strain body 3. On the other hand, reflective plates 5a and 5b are attached to the end faces of the convex parts 1a and 1b at an angle θ with respect to the perpendicular line, and light emitting elements 6a and 6 are connected to each other through the reflective plates 5a and 5b.
An optical path is formed between the light receiving elements 7a and 7b. Here, the light emitting elements 6a and 6b emit a light beam having a certain area, and the emitted light beam passes through the reflecting plates 5a and 5b to the light receiving elements 7a and 6b.
This will lead you to 7b. The light-receiving elements 7a and 7b are constructed by linearly arranging, for example, n solar cells, and an output is obtained only from the solar cell that is hit by the light beam, so that its position can be known. That is, the deflection of the strain body 1 is converted into an angular change of the reflecting plates 5a, 5b, which changes the arrival position of the reflected light, and the position change is detected by the light receiving elements 7a, 7b.

次に第3図に基いて信号処理部の構成を説明す
る。なお、起歪体1の自由端部左右両側に取り付
けられた検出回路は夫々同じものなので、片側に
ついてのみ図示してあり、他の構成は省略してあ
る。さて、受光素子7a内のn個の太陽電池の一
端は共通に接地され、夫々の他端はマルチプレク
サ8aの入力端に接続されている。マルチプレク
サ8aは複数の入力のうちの1つを出力側へ接続
するもので、マイコン演算回路11内のマルチプ
レクサ制御回路により、n個の太陽電池の出力信
号を順次選択していくものである。次いで、マル
チプレクサ8aの出力端はヘツドアンプ9aを介
してコンパレータ10aの一入力端に接続され、
コンパレータ10aの他の入力端子には基準電圧
Vrefが印加され、出力端はマイコン演算回路11
の入力ポートに接続されている。
Next, the configuration of the signal processing section will be explained based on FIG. Note that since the detection circuits attached to both the left and right sides of the free end of the strain body 1 are the same, only one side is illustrated, and the other components are omitted. Now, one end of the n solar cells in the light receiving element 7a is commonly grounded, and the other end of each is connected to the input end of the multiplexer 8a. The multiplexer 8a connects one of a plurality of inputs to the output side, and a multiplexer control circuit in the microcomputer arithmetic circuit 11 sequentially selects the output signals of the n solar cells. Next, the output terminal of the multiplexer 8a is connected to one input terminal of a comparator 10a via a head amplifier 9a.
The other input terminal of the comparator 10a has a reference voltage.
V ref is applied, and the output terminal is connected to the microcomputer arithmetic circuit 11
is connected to the input port of

動作にあたつては、被測定物が上皿3に載せら
れると、起歪体補助材4を介して起歪体1に荷重
が伝えられ、起歪体1は変形を起こす。この時、
被測定物が上皿3の取付部の中心に置かれた場合
には、下向きの荷重だけが作用するが、図中X
軸,Y軸の方向に偏置された場合、起歪体補助材
4を介して起歪体3に偏置によるモーメントが働
くことになる。ここで、X軸方向の偏置に対して
はロバーバル機構を採用しているため影響はな
く、Y軸方向の偏置により起歪体1はねじりを生
ずることになる。しかして、起歪体3の自由端部
では荷重によるたわみとねじりの変形が同時に現
れることとなり、自由端部の左右両側に設けられ
た反射板5a,5bはある値を中心として上下に
変位し、夫々の受光素子7a,7b内の異つた位
置の太陽電池へ光ビームを投ずる。仮に光ビーム
が当つた太陽電池を夫々m番目、m′番目とする
と、マルチプレクサ8a,8bにより1番目から
n番目までの太陽電池の出力を順次選択し、ヘツ
ドアンプ9a,9bにより増幅した後、コンパレ
ータ10a,10bによつて基準電圧Vrefと比較
し、出力電圧を生じている太陽電池を判別するこ
とによりm,m′を検出することができる。マイ
コン演算回路11ではm,m′を検出すると m+m′/2 なる平均をとる演算を行い、重量値に変換(検出
値と重量値は1次の関係があるので定数倍し、更
に定数を付加する)して表示素子12により表示
を行う。前述したように、起歪体自由端部の変形
は荷重によるたわみとねじりの合成されたもので
あるから、m,m′は荷重に応じた値を中心にし
て、偏置によるモーメントの分だけ増減したもの
であり、二者を平均して得られた値には偏置によ
る影響が全く現れない。
In operation, when an object to be measured is placed on the upper plate 3, a load is transmitted to the strain body 1 via the strain body auxiliary material 4, causing the strain body 1 to deform. At this time,
When the object to be measured is placed at the center of the attachment part of the upper plate 3, only a downward load acts, but
When the strain body 3 is eccentrically positioned in the direction of the axis or the Y axis, a moment due to the eccentric position acts on the strain body 3 via the strain body auxiliary member 4 . Here, since the Roberval mechanism is employed, the eccentricity in the X-axis direction has no effect, but the strain-generating body 1 is twisted due to the eccentricity in the Y-axis direction. Therefore, at the free end of the flexure element 3, deflection and torsional deformation due to the load appear simultaneously, and the reflecting plates 5a and 5b provided on both left and right sides of the free end are vertically displaced around a certain value. , project light beams to solar cells at different positions within the respective light receiving elements 7a, 7b. Assuming that the solar cells hit by the light beam are m-th and m'-th, respectively, the outputs of the first to nth solar cells are sequentially selected by multiplexers 8a and 8b, amplified by head amplifiers 9a and 9b, and then outputted by comparators. m and m' can be detected by comparing the solar cells 10a and 10b with the reference voltage Vref and determining which solar cell is producing the output voltage. When the microcomputer calculation circuit 11 detects m and m', it calculates the average of m+m'/2 and converts it into a weight value (since the detected value and weight value have a linear relationship, they are multiplied by a constant and then a constant is added. ), and display is performed by the display element 12. As mentioned above, the deformation of the free end of the flexure element is a combination of deflection and twist due to the load, so m and m' are centered around the value corresponding to the load and are equal to the moment due to eccentricity. The value obtained by averaging the two values is not affected by eccentricity at all.

次に第4図,第5図に示すのは本発明の第2の
実施例であり、起歪体自由端部の変位を検出する
ための手段として、弦の張力変化を利用したもの
である。第4図は起歪体周辺の構成を示したもの
であるが、起歪体1の自由端部左右両側に設けら
れた凸部1a,1bは振動弦13a,13bを介
して振動子(例えば超音波振動子)14a,14
bの振動片に接続され、起歪体自由端部の変位に
より弦張力が変化し、振動の振幅が変化するよう
になつている。
Next, FIGS. 4 and 5 show a second embodiment of the present invention, which utilizes changes in the tension of the string as a means for detecting the displacement of the free end of the flexure element. . FIG. 4 shows the structure around the flexure body. The convex portions 1a and 1b provided on both left and right sides of the free end of the flexure body 1 are connected to a vibrator (e.g. Ultrasonic transducer) 14a, 14
It is connected to the vibrating piece b, and the string tension is changed by the displacement of the free end of the flexure element, and the vibration amplitude is changed.

第5図は信号処理部の構成を示し、左右の検出
手段のうち片側だけを示す。第5図において構成
を説明すると、振動子14aの信号入力端子Pに
は信号源として基準発振回路15の発信出力が加
わるよう接続され、振動に比例した電圧を出力す
る端子Qはハイインピーダンスのアンプ16aを
介してコンパレータ17aの一入力端に接続さ
れ、コンパレータ17aの他の入力端には階段状
の波形を出力するステアケース発振器18の出力
が加わるよう接続され、コンパレータ17aの出
力端はマイコン演算回路11の入力ポートに接続
されている。ここで、コンパレータ17a、ステ
アケース発振器18はいわゆる逐次比較方式の
A/Dコンバータを構成するもので、入力信号に
一致するまでの階段数をマイコン演算回路11内
でカウントすることによりアナログ信号をデジタ
ル化するものである。
FIG. 5 shows the configuration of the signal processing section, showing only one of the left and right detection means. To explain the configuration in FIG. 5, the signal input terminal P of the vibrator 14a is connected to the oscillation output of the reference oscillation circuit 15 as a signal source, and the terminal Q that outputs a voltage proportional to the vibration is connected to a high impedance amplifier. 16a to one input terminal of a comparator 17a, and the other input terminal of the comparator 17a is connected so that the output of a staircase oscillator 18 that outputs a step-like waveform is added, and the output terminal of the comparator 17a is connected to a microcomputer operation terminal. It is connected to the input port of circuit 11. Here, the comparator 17a and the staircase oscillator 18 constitute a so-called successive approximation type A/D converter, and by counting the number of steps until the input signal matches the input signal in the microcomputer calculation circuit 11, the analog signal is converted into a digital signal. It is something that becomes.

動作にあつては、起歪体1の自由端部の変位に
より振動弦13a,13bの弦張力が変化する
と、振動子14a,14bの振動振幅が変化し、
この振幅変化はアンプ16a,16b、コンパレ
ータ17a,17b等によりデジタル化され、検
出信号としてマイコン演算回路11に送出され
る。マイコン演算回路11では、前述した第1の
実施例と同様に、左右両側の検出手段より得られ
た信号を平均し、重量値に変換して表示する。な
お、A/Dコンバータとしてはステアケース発振
器を用いたものに限らず、他の方式によるA/D
コンバータを用いても同様に構成できることは言
うまでもない。
In operation, when the string tension of the vibrating strings 13a, 13b changes due to the displacement of the free end of the strain body 1, the vibration amplitude of the vibrators 14a, 14b changes,
This amplitude change is digitized by amplifiers 16a, 16b, comparators 17a, 17b, etc., and sent to the microcomputer calculation circuit 11 as a detection signal. The microcomputer arithmetic circuit 11 averages the signals obtained from the left and right detection means, converts it into a weight value, and displays it, as in the first embodiment described above. Note that the A/D converter is not limited to one using a staircase oscillator, but may also be an A/D converter using other methods.
It goes without saying that a similar configuration can be achieved using a converter.

第6図は参考までに示した計重器本体の外観で
ある。その説明は省略する。
Figure 6 shows the external appearance of the scale body shown for reference. The explanation will be omitted.

以上のように本発明にあつては、ビームのたわ
みにより被測定物の重量を測定し、表示する計重
器において、ロバーバル機構を構成する起歪体
と、この起歪体の自由端部左右両側の変位を検出
する二組の検出手段と、前記起歪体の自由端部に
跨設され、かつ被測定物を載せる上皿と起歪体と
を連結する起歪体補助材と、信号処理部とを備
え、前記二組の検出手段より得られた信号を平均
し、重量値に変換して表示するようにしたので、
被測定物のいかなる偏置によつても誤差を生じる
ことがなく、精度の高い計重器を提供することが
できる。
As described above, in the present invention, in a weighing device that measures and displays the weight of an object by deflection of a beam, there is provided a strain-generating body constituting a roberval mechanism, and the free end portions of the left and right ends of the strain-generating body. two sets of detection means for detecting displacement on both sides; a flexure element auxiliary member installed over the free end of the flexure element and connecting the flexure element to the upper plate on which the object to be measured is placed; and a signal. A processing section is provided, and the signals obtained from the two sets of detection means are averaged, converted into a weight value, and displayed.
It is possible to provide a highly accurate weighing device that does not cause errors due to any eccentric position of the object to be measured.

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

第1図は従来の計重器の要部を示す図面、第2
図,第3図は本発明の第1の実施例を示す構成
図、第4図,第5図は第2の実施例を示す構成
図、第6図は計重器の外観を示す参考図である。 1……起歪体、1a,1b……凸部、3……上
皿、4……起歪体補助材、5a,5b……反射
板、6a,6b……発光素子、7a,7b……受
光素子、8a,8b……マルチプレクサ、9a,
9b……ヘツドアンプ、10a,10b,17
a,17b……コンパレータ、11……マイコン
演算回路、12……表示素子、13a,13b…
…振動弦、14a,14b……振動子、15……
基準発振回路、16a,16b……アンプ、18
……ステアケース発振器。
Figure 1 is a drawing showing the main parts of a conventional weighing device, Figure 2
Figures 3 and 3 are block diagrams showing the first embodiment of the present invention, Figures 4 and 5 are block diagrams showing the second embodiment, and Figure 6 is a reference diagram showing the external appearance of the scale. It is. DESCRIPTION OF SYMBOLS 1... Strain body, 1a, 1b... Convex part, 3... Upper plate, 4... Strain body auxiliary material, 5a, 5b... Reflection plate, 6a, 6b... Light emitting element, 7a, 7b... ...Photodetector, 8a, 8b...Multiplexer, 9a,
9b...Head amplifier, 10a, 10b, 17
a, 17b... Comparator, 11... Microcomputer arithmetic circuit, 12... Display element, 13a, 13b...
... Vibrating strings, 14a, 14b... Vibrator, 15...
Reference oscillation circuit, 16a, 16b...Amplifier, 18
...Staircase oscillator.

Claims (1)

【特許請求の範囲】 1 ビームのたわみにより被測定物の重量を測定
し、表示する計重器において、ロバーバル機構を
構成する起歪体と、この起歪体の自由端部左右両
側の変位を検出する二組の検出手段と、前記起歪
体の自由端部に跨設され、かつ被測定物を載せる
上皿と起歪体とを連結する起歪体補助材と、信号
処理部とを備え、前記二組の検出手段より得られ
た信号を平均し、重量値に変換して表示すること
を特徴とした計重器。 2 前記検出手段は、起歪体自由端部の左右両側
に配設した反射板と、この反射板を介して光路を
設定した発光素子および受光素子によつて構成し
た特許請求の範囲第1項記載の計重器。 3 前記検出手段は、起歪体自由端部の左右両側
の一部を夫々振動弦を介して振動子に接続して構
成され、起歪体のたわみによる弦張力の変化を振
動子の振動振幅の変化として取り出した特許請求
の範囲第1項記載の計重器。
[Claims] 1. A weighing device that measures and displays the weight of an object by deflection of a beam, which includes a strain-generating body constituting a roberval mechanism and a displacement on both left and right sides of the free end of this strain-generating body. two sets of detection means for detecting; a flexure body auxiliary member that is disposed astride the free end of the flexure body and connects the flexure body with the upper plate on which the object to be measured is placed; and a signal processing section. A weighing device characterized in that the signals obtained from the two sets of detection means are averaged, converted into a weight value, and displayed. 2. Claim 1, wherein the detection means is constituted by a reflecting plate disposed on both left and right sides of the free end of the strain-generating body, and a light emitting element and a light receiving element having an optical path set through the reflecting plate. Weighing device as described. 3. The detection means is configured by connecting a portion of the left and right sides of the free end of the strain-generating body to a vibrator via a vibrating string, and detects a change in string tension caused by deflection of the strain-generating body as a vibration amplitude of the vibrator. A weighing device according to claim 1 taken out as a variation of.
JP6059982A 1982-04-12 1982-04-12 Weight measuring device Granted JPS58178223A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP6059982A JPS58178223A (en) 1982-04-12 1982-04-12 Weight measuring device

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP6059982A JPS58178223A (en) 1982-04-12 1982-04-12 Weight measuring device

Publications (2)

Publication Number Publication Date
JPS58178223A JPS58178223A (en) 1983-10-19
JPS6310368B2 true JPS6310368B2 (en) 1988-03-07

Family

ID=13146864

Family Applications (1)

Application Number Title Priority Date Filing Date
JP6059982A Granted JPS58178223A (en) 1982-04-12 1982-04-12 Weight measuring device

Country Status (1)

Country Link
JP (1) JPS58178223A (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO1993005371A1 (en) * 1991-08-31 1993-03-18 Kyoei Automatic Control Technology Co., Ltd. Method and apparatus for measuring dynamic load, and load measuring equipment using them

Families Citing this family (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
NL8801656A (en) * 1988-06-30 1990-01-16 Hoogovens Groep Bv WEIGHING DEVICE FOR MEASURING THE WEIGHT OF A LOAD.
US6472618B1 (en) * 1999-03-30 2002-10-29 A&D Co., Ltd. Electronic weighing scale using general purpose block member

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO1993005371A1 (en) * 1991-08-31 1993-03-18 Kyoei Automatic Control Technology Co., Ltd. Method and apparatus for measuring dynamic load, and load measuring equipment using them

Also Published As

Publication number Publication date
JPS58178223A (en) 1983-10-19

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