JP2002148169A - Output pressure measurement method and measurement device for fixed cross-sectional operation body - Google Patents

Abstract

PROBLEM TO BE SOLVED: To provide a method and a device for measuring a longitudinal elastic modulus and an output pressure of a fixed cross-sectional operation body allowing non-contact and non-destructive measurement of the longitudinal elastic modulus in the same way as measurement of an output displacement quantity and allowing measurement of a minute output pressure caused in the fixed cross-sectional operation body with full load. SOLUTION: This measurement device is provided with a fixing means 2 for fixing the fixed cross-sectional operation body 1 in a cantilever form, an inputting means 3 applying alternating input from a fixed part 1b for oscillating the operation part, a displacement quantity measurement means 4 performing non-contact measurement of a displacement quantity due to oscillation in the operation part, and a computing means 5 performing a processing procedure for finding the full load. In the full load finding processing procedure in the computing means 5, after a resonance angular frequency ωmatching a primary oscillation form and an operation part tip displacement quantity δmax are found by using the information from the displacement quantity measuring means 4, the longitudinal elastic module E is computed from the resonance angular frequency ω and a known value according to an expression 1: E=ω2ρA/(a4I), and the full load is found from the longitudinal elastic modulus E and the displacement quantity δmax according to an expression 2: W=δmax.EI/(β.L3).

Description

DETAILED DESCRIPTION OF THE INVENTION

[0001]

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a constant section operating body such as a polymer actuator, which is caused to vibrate by inputting an alternating voltage or the like. The present invention relates to a measuring method and a measuring device for measuring a total load serving as an index of an output pressure, and a method of manufacturing a constant-section operating body using the same.

[0002]

2. Description of the Related Art A constant-section actuator such as a polymer actuator has a voltage or current (electric power) between electrodes provided on the surface.
Is input (applied), deformation such as bending occurs, and has recently been attracting attention as one of small actuators. Such a polymer actuator or the like is subjected to displacement measurement using a laser displacement meter or the like, and an output displacement amount with respect to an input is an index indicating performance.

On the other hand, in using a constant-section operating body as an actuator, it is important to know an output pressure (force generated on a surface) at the time of deformation in addition to the above-described output displacement.
However, since the constant section operating body generally has a small output pressure, there is no effective measurement method for measuring the output pressure.

[0004]

For example, a method of measuring a load using a load cell is conceivable, but it is difficult to obtain a stable measurement result because the constant-section operating body to be measured is greatly displaced. There is also a method of measuring the pressure of the minute displacement by applying a compressive force, but it is difficult to apply the method to a constant-section operating body having a small thickness and a small output pressure.

On the other hand, the method of measuring the longitudinal elastic modulus of a constant-section operating body can be measured by various tensile tests and the like. However, the method of measuring the longitudinal elastic modulus without breaking a polymer actuator or the like, A method for non-contact measurement of a polymer actuator or the like in use has not been known.

Accordingly, an object of the present invention is to provide a method of measuring the longitudinal elastic modulus of a constant-section operating body, which can measure the longitudinal elastic modulus in a non-contact and nondestructive manner by the same method as the measurement of the output displacement. is there. Also, a method for measuring the output pressure of a constant-section operating body, which can measure a minute output pressure generated in the constant-section operating body as a total load (convertible to output pressure) in the same manner as the measurement of the output displacement amount, Another object of the present invention is to provide a measuring device therefor. It is still another object of the present invention to provide a method for manufacturing a constant-section operating body that manufactures a constant-section operating body using the measurement method.

[0007]

The above object can be achieved by the present invention as described below. That is, the method for measuring the longitudinal elastic modulus of the constant-section operating body according to the present invention includes the steps of: applying an alternating input from a fixed portion in which the constant-section operating body is cantilevered to vibrate the operating section of the constant-section operating body; And obtaining the resonance angular frequency ω corresponding to the primary vibration form from the following equation, and using the resonance angular frequency ω and a known value, the following equation (1) E = ω ² ρA / (a ⁴ I) (1) [where , E is the longitudinal elastic modulus, ω is the resonance angular frequency, ρ is the density of the constant-section operating body, A is the cross-sectional area of the working section, and a is λ / L (λ
Is the first dimensionless frequency of the cantilever, L is the length of the working part),
I represents the second moment of area of the operating portion] to calculate the longitudinal elastic modulus E.

Further, according to the method for measuring the output pressure of a constant-section operating body according to the present invention, an alternating input is applied from a fixed portion in which the constant-section operating body is cantilevered to vibrate the operating section of the constant-section operating body, A step of obtaining a resonance angular frequency ω corresponding to the primary vibration form and a displacement amount δ _{max of the} tip of the operating portion from the behavior, and a longitudinal elastic modulus from the resonance angular frequency ω and a known value by the above equation (1). calculating a E, from the longitudinal elastic modulus E and the displacement [delta] _max, the following equation _{(2) W = δ max ·} EI / (β · L 3) (2) [wherein, W is the total load , I is the moment of inertia of the working section, β is 1/8, and L is the length of the working section].

In the above, the displacement δ of the tip of the operating portion
_{When max} is obtained, the following equation (3) is used from the displacement amount δx at the measurement point and the length x from the fulcrum to the measurement point, where δ _max = δx · w _x / w _L (3) _X / w _L is the ratio of the displacement between the measurement point and the tip of the working unit, which is calculated from the equation representing the first-order reference vibration form of the cantilever, and the displacement δ _max is preferably obtained.

On the other hand, the measuring device of the present invention comprises a fixing means for cantileverly fixing the constant-section operating body, and an input for giving an alternating input from the fixed fixing portion to vibrate the operating section of the constant-section operating body. Means, a displacement amount measuring means for non-contactly measuring a displacement amount due to vibration of the operating portion, and a resonance angular frequency ω corresponding to a primary vibration type and an operating portion using information from the displacement amount measuring means. After obtaining the displacement δ _{max of the} tip, the longitudinal elastic modulus E is calculated from the resonance angular frequency ω and the known value by the above equation (1), and the longitudinal elastic modulus E and the displacement δ _max are calculated.
Therefore, there is provided an arithmetic means for executing a processing procedure for obtaining the total load by the above equation (2).

In the above, when the calculating means obtains the displacement δ _{max of the} tip of the operating part, the above formula (3) is obtained from the displacement δx at the measuring point and the length x from the fulcrum to the measuring point. ), It is preferable to execute a processing procedure for _{obtaining the} displacement amount δ _max .

On the other hand, in the method of manufacturing a constant-section operating body of the present invention, a total load is obtained by the above-described method of measuring an output pressure using the manufactured constant-section operating body, and the output pressure converted from the total load is determined. Compare with the preset target output pressure range,
If it is out of the range, another constant-section operating body is manufactured by changing a factor for controlling the output pressure, and by repeating this, a constant-section operating body having a target output pressure range is manufactured. .

[Operation and Effect] The operation and effect of the present invention according to claims 1 to 6 will be described below. The operation and effect according to the specific embodiment will be described in detail in the following embodiments of the invention. I do. In addition, the present invention is based on the assumption that the vibration behavior of the constant-section operating body is a non-attenuating motion of only bending, that a primary vibration type resonance peak can be grasped, and that the mass and bending rigidity of the operating section are long. It is assumed that it does not change along the direction.

According to the method of measuring the longitudinal elastic modulus of the present invention, similarly to the measurement of the output displacement, the operating portion of the constant-section operating body can be vibrated by the input from the fixed portion, and the primary Resonance frequency ω (angular frequency corresponding to the frequency of the resonance peak) corresponding to the above vibration type can be obtained.

Under the above assumptions, the following Bernoulli-Euler equation:

(Equation 1) [Where E, I, ρ, A, and x have the same meanings as above, t is time, ζ (x, t) is the amount of deflection at x position / time, p
(X, t) is a dynamic load acting in the vertical direction at the x position / t time], and the vibration of the constant-section operating body in the present invention corresponds to the non-damped free vibration of the cantilever. p
(X, t) = 0 can be set. By separating the variables from the equation by the shape function w (x) and the time function Z (t), the following two ordinary differential equations can be obtained.

[0016]

(Equation 2) Here, a ⁴ = ω ² ρA / (EI) (Equation 1 ′). On the other hand, when the latter ordinary differential equation is solved, the shape function w (x) can be represented as a function of a and x (including constants C _{1 to} C ₄ ), and the fulcrum condition (free end ( x =
0) and the fixed end (x = L)), the constants C _{1 to} C ₄ can be eliminated by solving the simultaneous equations, and 1 + cosλcosh
λ = 0. This is the cantilever frequency equation,
When the solution λ is obtained for the primary vibration form, λ = 1.87
It becomes 5. Therefore, by substituting a obtained from λ and L, equation (1) is obtained by modifying equation (1 ′): E = ω ² ρA /
By (a ⁴ I), the longitudinal elastic modulus E can be obtained from the measured resonance angular frequency ω and a known value.

In other words, in the non-damped free vibration of the cantilever, the primary resonance angular frequency ω is determined only by the longitudinal elastic modulus E.
The longitudinal elastic modulus can be measured in a non-contact and non-destructive manner in the same manner as the measurement of the output displacement.

According to the output pressure measuring method of the present invention, the longitudinal elastic modulus E can be obtained from the resonance angular frequency ω in the same manner as described above. The displacement amount δ _max can be obtained.

Then, equation (2): W = δ _max · EI /
(Β · L ³ ) is an equation representing the relationship among the total load W, the displacement δ _max and the bending stiffness EI when a uniform distributed load is statically generated on the cantilever. The total load W can be obtained from the displacement amount δ _max . In other words, by applying the case where a uniform distributed load is statically generated on the cantilever to the vibration of the constant-section operating body, the minute output pressure generated in the constant-section operating body can be measured in the same manner as the measurement of the output displacement. Can be measured as a total load (which can be converted to an output pressure).

When calculating the displacement δ _{max of the} tip of the operating portion, the displacement δx at the measuring point and the length x from the fulcrum to the measuring point are calculated by the above equation (3). _{When obtaining max} , it is not necessary to directly measure the displacement amount δ _{max of the} tip of the operating part, so that displacement can be measured using a laser displacement meter or the like, and moreover, an equation representing the primary reference vibration form of the cantilever Since the calculation is performed based on the ratio of the displacement between the measurement point and the tip of the operating section, the displacement δ _max can be obtained more accurately, and the measurement accuracy can be further improved.

On the other hand, according to the measuring apparatus of the present invention, since the measuring method of the present invention having the above-mentioned effects and effects is implemented, the constant section operation can be performed in the same manner as the measurement of the output displacement. The minute output pressure generated in the body can be measured as the total load (which can be converted to the output pressure).

On the other hand, according to the method for producing a constant-section operating body of the present invention, the total load is determined by the above-described method for measuring the output pressure using the constant-section operating body thus produced.
It is possible to measure a small total load generated on the constant-section operating body in a non-destructive manner. In addition, the output pressure converted from the total load is compared with a preset target output pressure range, and when the output pressure is out of the range, another constant-section operating body is manufactured by changing a factor for controlling the output pressure. However, since this operation is repeated, it is possible to reliably manufacture a constant-section operating body having a target output pressure range. Since the products that have gone through the above series of steps are non-contact and non-destructive, it is also possible to evaluate and ship all the products that have undergone the measurement.

[0023]

Embodiments of the present invention will be described below with reference to the drawings.

The constant-section operating body to be measured in the present invention may be any constant-section operating body that can generate vibrations in the operating section by applying an alternating input from the fixed section. From the relation, those having high responsiveness to some extent are preferable. Specifically, a polymer actuator or the like in which deformation such as bending occurs by inputting (applying) a voltage or a current (power) is preferable. As polymer actuators, JP-A-4-275078, JP-A-11-235064
And Japanese Patent Application Laid-Open No. 11-280639, for example, a typical example is a rectangular plate-shaped ion exchange resin having thin electrode layers on both front and back surfaces. In the present embodiment, an example is shown in which a flat-plate-shaped polymer actuator having a rectangular cross section that operates by applying electric power or the like is used as a constant-section operating body.

In the present invention, as shown in FIG. 1, the fixed section 1b of the constant section operating body 1 is cantilevered by the fixing electrode 2, and an alternating input is applied from the fixed section 1b to provide the constant section operating body 1 Is vibrated up and down. In this embodiment,
Voltage or current (power) is applied, and random wave input and frequency sweep are performed.

From the vibration behavior at that time, the resonance angular frequency ω of each order can be obtained directly or by Fast Fourier Transform (FFT) or the like, and the primary vibration form corresponding to the resonance peak having the lowest frequency can be obtained. Can be obtained. Further, from the behavior of the vibration, the displacement amount δ _{max of the} distal end of the operating portion can be obtained directly or by approximation. As a method of directly measuring the displacement δ _max , CC
A method of performing image analysis of a moving image captured by a D camera is also available, but a method of easily obtaining a displacement amount δ _max by approximation from a measured value using a laser displacement meter is simple. When the displacement amount δ _max is obtained by approximation, it is possible to calculate from the displacement amount δx at the measurement point MP by ignoring flexural deformation by δ _max = δx · L / x, but it is calculated by the following method. The method is preferred in terms of accuracy.

That is, from the displacement amount δx at the measurement point and the length x from the fulcrum to the measurement point, the following equation (3) δ _max = δx · w _x / w _L (3) [where w _x / W _L is the ratio of the displacement between the measurement point and the tip of the working unit, which is calculated from the equation representing the first-order reference vibration form of the cantilever, and the displacement δ _max can be obtained. w
_X / w _L is calculated by the following equation (4).

(Equation 3) Can be obtained by substituting x / L and L / L for ξ, calculating w _X and w _L and obtaining the ratio.

The above equation (4) is an equation showing the primary reference vibration form in the non-damped free vibration of the cantilever, and the displacement amount of each part of the constant-section operating body during vibration, that is, of the constant-section operating body Since the shape is shown, the displacement amount δ _{max of the} distal end of the operating portion can be calculated with high accuracy from this.

Next, from the resonance angular frequency ω obtained above and a known value, the following equation (1) E = ω ² ρA / (a ⁴ I) (1) [where E is the longitudinal elastic modulus and ω is The resonance angular frequency, ρ is the density of the constant-section operating body, A is the cross-sectional area of the operating section, and a is λ / L (λ
Is the first dimensionless frequency of the cantilever, L is the length of the working part),
I represents the second moment of area of the operating portion] to calculate the longitudinal elastic modulus E.

Since ρ is the density of the constant-section operating body, a known density may be used. However, the volume of the constant-section operating body is obtained by multiplying the thickness h, width b, and length of the constant-section operating body. Thereafter, the density calculated from the volume and the weight of the constant-section operating body may be used. Since A is the cross-sectional area of the operating portion, it can be obtained by multiplying the thickness h and the width b of the constant-section operating body. a is λ
/ L and λ is the first dimensionless frequency of the cantilever, so a = 1.875 / L. The value of λ may be substantially the same as the above value in consideration of the number of significant figures, and the same applies to β described later.

[0031] I is because it is the second moment of the working portion, the rectangular cross section of the flat plate is bh ^3/12. Others
The second moment of area according to various cross-sectional shapes such as the H-shaped cross section, the U-shaped cross section, the circular cross section, the trapezoidal cross section, and the semicircular cross section are well known. Also applicable to:

Next, from the longitudinal elastic modulus E and the separately obtained displacement amount δ _max , the following equation (2) W = δ _max · EI / (β · L ³ ) (2) [where W is Total load, I is the moment of inertia of the working section, β is 1/8, and L is the length of the working section]. In the present invention, the total load W may be further divided by the area L × b to determine the load per unit area, or the load may be divided by the input voltage or the like to obtain the pressure per input,
That is, the output pressure may be obtained.

As the displacement δ _max in the equation (2), it is preferable to adopt a displacement at a frequency lower than _の of the resonance angular frequency ω. In particular, in a frequency region where the displacement does not change with respect to the input frequency. It is more preferable to adopt the amount of displacement in.

On the other hand, the measuring apparatus of the present invention is an apparatus capable of suitably implementing the above-described measuring method. As shown in FIG. 2, the measuring device of the present invention has a constant-section operating body 1.
A fixing means such as a fixing electrode 2 for cantilevering and fixing, an input means 3 for applying an alternating input from the fixed fixing portion 1b to vibrate the operating portion 1a of the constant-section operating body 1, and the operating portion 1a Displacement measuring means 4 for non-contactly measuring the displacement due to vibration of the object, and using the information from the displacement measuring means 4, the resonance angular frequency ω corresponding to the primary vibration type and the displacement of the tip of the operating portion After obtaining δ _max , the longitudinal elastic modulus E is calculated from the resonance angular frequency ω and the known value by the above equation (1),
An arithmetic means 5 for executing a processing procedure for obtaining a total load from the longitudinal elastic modulus E and the displacement amount δ _max by the above equation (2).

The fixing means may be any as long as it can fix the constant-section operating body 1 to such an extent that it does not affect the vibration of the constant-section operating body 1, and various gripping devices, fastening devices, clamping devices and the like can be employed. .

The input means 3 may be any as long as it can apply an alternating input according to the type of the constant-section operating body 1 and vibrate the operating section 1a. A random wave oscillator, a frequency sweep type oscillator, a sine A wave oscillator or the like can be adopted.

As the displacement measuring means 4, any means capable of measuring the displacement due to the vibration of the operating portion 1a in a non-contact manner can be used. An acoustic displacement meter or the like can be used.

It is preferable that the input means 3 and the displacement measuring means 4 are configured such that a signal corresponding to the operating state of the input means 3 is associated with the measured value of the displacement measuring means 4. For example, when a random wave oscillator is adopted as the input means 3, a voltage (current) is applied by a random wave, and the input voltage (current) at each frequency at this time and the displacement from the displacement measuring means 4 are expressed as a voltage. Convert the converted value to FF provided separately
The transmissivity is obtained by inputting to the T analyzer, and the resonance angular frequency can be obtained from the graph. Also, without using random waves, it is also possible to measure the input voltage (current) and displacement at each frequency and plot the maximum value of the displacement at each frequency to determine the resonance angular frequency. is there.

As the arithmetic means 5, a microcomputer, a personal computer, or the like capable of incorporating or loading a program or the like for executing the above processing procedure can be employed. The calculation means 5 preferably includes output / display means 6 such as a printer and a display.

On the other hand, in the method of manufacturing a constant-section operating body according to the present invention, the total load is determined by the above-described method of measuring the output pressure using the constant-section operating body thus produced, and the output converted from the total load is obtained. The pressure is compared with a preset target output pressure range, and when the pressure is out of the range, another constant-section operating body is produced by changing a factor for controlling the output pressure, and this is repeated to obtain a target output pressure. A constant section working body having a pressure range is manufactured.

The range of the target output pressure may be set, for example, to within ± 5% of the set central value, or may be set to be not less than the lower limit value or not more than the upper limit value.

The factors controlling the output pressure include the thickness h, the type and formation method of the surface electrode, the type of ion-exchange resin, and the type of ion-exchange substance in a so-called polymer actuator.

[0043]

DESCRIPTION OF THE PREFERRED EMBODIMENTS Embodiments and the like specifically showing the configuration and effects of the present invention will be described below.

Example 1 A polymer actuator obtained by plating NAFION-117 (manufactured by Du Pont) with gold (Japanese Patent Laid-Open No. Hei 8-2259)
78, ρ = 2.4949 × 10 ⁷ [kgs ² / cm
³ ], h = 0.200 [mm], b = 50 [mm], L
= 200 [mm]) was used as a sample. Using a laser displacement meter (manufactured by Keyence Corporation, LC-2400), the sample was cantilevered so that the length from the fulcrum to the measurement point was x = 170 [mm], and random waves were input from the fixed part. Then, the operating part was vibrated, and the resonance angular frequency ω corresponding to the primary vibration type was obtained from the behavior. As a result, ω is 1
94.8 [rad / s]. When the longitudinal elastic modulus E was calculated from this value and the known value according to the equation (1) as described above, it was 368 [kgf / cm ² ].

On the other hand, using a tensile tester, using the same sample, a measuring length of 20 mm and a tensile speed of 50 mm / min.
When the longitudinal elastic modulus E at 10% elongation is measured at 328 [k
gf / cm ² ]. As described above, in the present invention, it is possible to obtain a calculated value close to the actually measured value.

[Brief description of the drawings]

FIG. 1 is a perspective view for explaining the operation of the present invention.

FIG. 2 is a schematic configuration diagram showing an example of an apparatus for measuring the output pressure of a constant-section operating body according to the present invention.

[Explanation of symbols]

 DESCRIPTION OF SYMBOLS 1 Constant cross section working body 1a Working part 1b Fixed part 2 Fixing electrode (fixing means) 3 Input means 4 Displacement measuring means 5 Computing means MP Measurement point

 ──────────────────────────────────────────────────続 き Continued on the front page (72) Inventor Toshifumi Sakata 1-17-18 Edobori, Nishi-ku, Osaka-shi, Osaka Toyo Tire & Rubber Co., Ltd. (72) Inventor Kinshi Azumi 1-81-31 Midorioka, Ikeda-shi, Osaka Inside the Osaka Institute of Technology (72) Inventor Naoko Fujiwara 1-31-3 Midorigaoka, Ikeda-shi, Osaka Prefecture Inside the Institute of Industrial Technology Osaka Osaka (72) Keisuke Oguro 1-chome Midorigaoka, Ikeda-shi, Osaka No.8-31 FIT in Osaka Institute of Technology (reference) 2G061 AB06 BA07 CA16 CB02 CC01 EA02 EC02

Claims (6)

[Claims] 1. An alternating input is applied from a fixed section in which a constant-section operating body is cantilevered to vibrate an operating section of the constant-section operating body, and a resonance angular frequency ω corresponding to a primary vibration form is determined from the behavior. The following equation (1) E = ω ² ρA / (a ⁴ I) (1) [where E is the longitudinal elastic modulus, ω is the resonance angular frequency, ρ is the density of the constant-section operating body, A is the cross-sectional area of the working section, and a is λ / L (λ
Is the first dimensionless frequency of the cantilever, L is the length of the working part),
I represents the second moment of area of the operating section], and calculating the longitudinal elastic modulus E in the following manner. 2. An alternate input is applied from a fixed portion in which the constant-section operating body is cantilevered to vibrate the operating section of the constant-section operating body. From the behavior of the constant-section operating body, the resonance angular frequency ω corresponding to the primary vibration form is obtained. The step of _obtaining the displacement amount δ _{max of the} tip of the operating portion, and the following equation (1) E = ω ² ρA / (a ⁴ I) (1) from the resonance angular frequency ω and a known value [where E is The longitudinal elastic modulus, ω is the resonance angular frequency, ρ is the density of the constant-section operating body, A is the cross-sectional area of the operating section, and a is λ / L (λ
Is the first dimensionless frequency of the cantilever, L is the length of the working part),
I represents the second moment of area of the operating portion], the longitudinal elastic modulus E is calculated, and the longitudinal elastic modulus E and the displacement amount δ are calculated.
_{From the max} , the following equation (2) W = δ _max · EI / (β · L ³ ) (2) [where W is the total load, I is the second moment of area of the working part, β is 1/8, L represents the length of the operating portion], and obtaining the total load. 3. When calculating the displacement δ _{max of the} tip of the operating portion, the following equation (3) δ _max = δx · is obtained from the displacement δx at the measurement point and the length x from the fulcrum to the measurement point. w _x / w _L (3) [where w _x / w _L represents the ratio of the amount of displacement between the measurement point and the tip of the working part, calculated from the expression representing the primary reference vibration form of the cantilever. 3. The method for measuring the output pressure of a constant-section operating body according to claim 2, wherein the displacement amount δ _max is obtained by the following formula: 4. A fixing means for cantileverly fixing the constant-section operating body, an input means for applying an alternating input from the fixed fixing section to vibrate the operating section of the constant-section operating body, and A displacement amount measuring means for measuring a displacement amount due to vibration in a non-contact manner, and utilizing information from the displacement amount measuring means, a resonance angular frequency ω corresponding to the primary vibration type and a displacement amount δ _{max of the} tip of the operating portion. Then, from the resonance angular frequency ω and a known value, the following equation (1) E = ω ² ρA / (a ⁴ I)
(1) [where E is the longitudinal elastic modulus, ω is the resonance angular frequency, ρ is the density of the constant-section operating body, A is the cross-sectional area of the operating section, and a is λ / L (λ
Is the first dimensionless frequency of the cantilever, L is the length of the working part),
I represents the moment of inertia of the working section], and the longitudinal elastic modulus E is calculated from the longitudinal elastic modulus E and the displacement amount δ _max .
The following equation (2) W = δ _max · EI / (β · L ³ ) (2) [where W is the total load, I is the second moment of area of the working part, β is ８, L is the working And a calculating means for executing a processing procedure for obtaining the total load by the following formula: 5. When calculating the displacement amount δ _{max of the} tip of the operating part, the calculating means calculates the following expression (3) from the displacement amount δx at the measurement point and the length x from the fulcrum to the measurement point. δ _max
= Δx · w _X / w _L (3) [where w _X / w _L is the displacement amount between the measurement point and the tip of the working part, calculated from the equation representing the primary reference vibration form of the cantilever. 5. The apparatus for measuring the output pressure of a constant-section operating body according to claim 4, wherein a processing procedure for _{obtaining the} displacement amount δ _max is performed by the following formula: 6. A target output pressure obtained by obtaining a total load by the method for measuring an output pressure according to claim 2 using the manufactured constant-section operating body, and calculating an output pressure converted from the total load in advance. If it is out of the range, another factor for controlling the output pressure is changed to produce another constant-section operating body, and by repeating this, the constant-section operation having the target output pressure range is performed. A method for manufacturing a constant-section operating body for manufacturing a body.