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CN111076806A - Structural health monitoring device and method based on polyvinylidene fluoride (PVDF) piezoelectric film - Google Patents

Structural health monitoring device and method based on polyvinylidene fluoride (PVDF) piezoelectric film Download PDF

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CN111076806A
CN111076806A CN202010003256.3A CN202010003256A CN111076806A CN 111076806 A CN111076806 A CN 111076806A CN 202010003256 A CN202010003256 A CN 202010003256A CN 111076806 A CN111076806 A CN 111076806A
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polyvinylidene fluoride
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CN111076806B (en
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徐佳文
张鑫
严加强
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Southeast University
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    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01H—MEASUREMENT OF MECHANICAL VIBRATIONS OR ULTRASONIC, SONIC OR INFRASONIC WAVES
    • G01H11/00—Measuring mechanical vibrations or ultrasonic, sonic or infrasonic waves by detecting changes in electric or magnetic properties
    • G01H11/06—Measuring mechanical vibrations or ultrasonic, sonic or infrasonic waves by detecting changes in electric or magnetic properties by electric means
    • G01H11/08—Measuring mechanical vibrations or ultrasonic, sonic or infrasonic waves by detecting changes in electric or magnetic properties by electric means using piezoelectric devices
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    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N29/00—Investigating or analysing materials by the use of ultrasonic, sonic or infrasonic waves; Visualisation of the interior of objects by transmitting ultrasonic or sonic waves through the object
    • G01N29/04—Analysing solids
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N29/00—Investigating or analysing materials by the use of ultrasonic, sonic or infrasonic waves; Visualisation of the interior of objects by transmitting ultrasonic or sonic waves through the object
    • G01N29/22—Details, e.g. general constructional or apparatus details
    • G01N29/24—Probes
    • G01N29/2437—Piezoelectric probes
    • G—PHYSICS
    • G01—MEASURING; TESTING
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Abstract

The embodiment of the invention provides a structural health monitoring device and a method based on a polyvinylidene fluoride (PVDF) piezoelectric film transducer, wherein the monitoring device comprises: the sensor comprises polyvinylidene fluoride (PVDF) piezoelectric film transducer groups (1) and (2) and a weak signal conditioning module (3), wherein the PVDF piezoelectric film transducer group (1) is used as a driver to excite a tested structure, the PVDF piezoelectric film transducer group (2) is used as a sensor, and the output response voltage reflects the mechanical impedance property of the tested structure. The invention can monitor the structural characteristics of the structure to be monitored, the used polymer piezoelectric film has high flexibility and can be suitable for various complex structure monitoring conditions, the mechanical impedance signal of the structure is measured in an active excitation sensing mode and is converted into a sweep frequency voltage signal through the piezoelectric transducer, the structural health state characteristic is obtained, and the invention has the advantages of high flexibility, strong adaptability, strong anti-interference capability and the like.

Description

Structural health monitoring device and method based on polyvinylidene fluoride (PVDF) piezoelectric film
Technical Field
The invention relates to the field of structural health monitoring, in particular to a structural health monitoring device and method based on a polyvinylidene fluoride (PVDF) piezoelectric film.
Technical Field
Mechanical devices and structures play a significant role in the national economic strut industry. Non-destructive monitoring of mechanical structures is an effective method for fault discovery and diagnosis. Nondestructive fault monitoring has attracted extensive attention in the field of fault diagnosis due to the advantages of light instruments, simplicity in operation, no damage to a measured structure and the like. The impedance method utilizes the electromechanical coupling of piezoelectric materials, obtains the mechanical impedance information of a measured object by measuring and analyzing the electrical impedance of the piezoelectric transducer, further obtains the structural damage information of the measured object by analysis, and has the characteristics of simple system, easy integration of sensing elements, easy acquisition of the global information of the measured object, use in a range from low frequency to high frequency and the like. The traditional piezoelectric impedance method adopts a mode of measuring structural impedance information by using a single piezoelectric patch, measured signals are coupled with impedance signals of a mechanical structure and capacitance signals of the piezoelectric patch, the mechanical impedance signals are easily submerged in the capacitance signals, and the impedance signals are difficult to decouple; in addition, in the conventional piezoelectric impedance method, a piezoelectric ceramic transducer is used as an excitation/sensing element, and piezoelectric ceramic itself is fragile and cannot be used in a mechanical structure with a complex shape, so that a new scheme is urgently needed to solve the technical problem.
Disclosure of Invention
In order to solve the problems of decoupling and extraction of weak mechanical impedance signals, the invention improves impedance method fault diagnosis from a mechanical layer by using a piezoelectric transducer group. The PVDF piezoelectric sensor adopted by the invention has good piezoelectric property, high mechanical strength and flexibility, good chemical corrosion resistance and high temperature resistance, and light weight, so that the PVDF piezoelectric sensor can work in a severe measurement environment, can be adhered to the surfaces of measured structures in various shapes, and does not influence the original mechanical structure. Aiming at the traditional structural impedance measurement method of the single piezoelectric sheet, signals measured by the framework of the improved multi-sheet piezoelectric sheet can be completely decoupled from the impedance characteristics of the system, and the response signals have no direct current bias, so that weak measurement signals can be directly amplified and analyzed.
In order to achieve the purpose, the technical scheme of the invention is as follows: a structural health monitoring device based on a polyvinylidene fluoride (PVDF) piezoelectric film transducer comprises a piezoelectric transducer group, a weak signal conditioning module and a data acquisition system; the weak signal conditioning module is arranged between the piezoelectric transducer group and the data acquisition system.
Furthermore, the piezoelectric transducer group adopts two or more than two polyvinylidene fluoride (PVDF) piezoelectric films.
After the weak signal conditioning module carries out lossless amplification on the analog signals output by the piezoelectric transducer, the piezoelectric transducer outputs excitation signals and response signals and outputs two paths of direct current signals through the two-path cross-correlation phase-locked amplification circuit, and the data acquisition system acquires the direct current signals and analyzes the direct current signals by using an impedance method to obtain the mechanical and mechanical properties of the measured structure.
Furthermore, two or more PVDF piezoelectric film sensors are adhered to the surface of the structure to be detected in parallel, one or more piezoelectric transducers are used as drivers to receive excitation signals, the other one or more piezoelectric transducers are used as sensors to output response signals, and the piezoelectric film group is decoupled and outputs structural impedance response signals.
Furthermore, the piezoelectric transducer group is adhered to the surface of the structure to be measured by using epoxy resin structural adhesive.
Furthermore, the weak signal conditioning module adopts an instrument amplifier to perform lossless amplification on the measured analog signal, and uses an analog circuit to realize cross-correlation phase-locked amplification of the excitation signal and the response signal, so that the noise in the measurement signal is fully suppressed, and the mechanical dynamics characteristics directly related to the excitation signal are extracted.
A monitoring method of a structural health monitoring device based on a polyvinylidene fluoride (PVDF) piezoelectric thin film transducer is as follows: obtaining the mechanical impedance of the measured structure according to the output signal of the weak signal conditioning module;
starting from a constitutive equation of the piezoelectric transducer, establishing a mechanical model for a piezoelectric-structure coupled system by using a method of assuming a mode, and establishing a finite element model for the system by using finite element simulation software to obtain a kinetic equation:
Figure BDA0002354263520000021
Figure BDA0002354263520000022
wherein M, C, K, K12,CpRespectively the mass, damping and rigidity of the system, the electromechanical coupling coefficient matrix of the system, the capacitance of the piezoelectric transducer, V0Is the excitation voltage, Q, Q1And Q2The system mechanical response matrix and the two-piece transducer response charge are respectively, omega is the excitation signal frequency, and i represents the imaginary part. In the case where the two PVDF transducers are of identical size and are attached together, the measured voltage signal is
Figure BDA0002354263520000023
The measured signal completely represents the dynamic response of the system, and the dynamic response signal has no direct current bias, so that the measurement signal can be directly amplified and analyzed;
when the tested structure changes, the output response signal also changes along with the frequency change curve of the excitation signal according to the formula (3);
and judging and analyzing the mechanical power characteristics of the tested structure according to the curve of the corresponding signal along with the change of the frequency.
Further, the weak signal conditioning module comprises an instrument amplifier and a double cross-correlation phase-locked amplification module.
Furthermore, the weak signal conditioning module uses an instrument amplifier to perform lossless amplification on the response signal, and the amplification factor is adjusted according to the sampling range of the sampling system.
Furthermore, the cross-correlation phase-locked amplification module realizes cross-correlation phase-locked amplification of the excitation signal and the response signal by using an analog circuit, and extracts mechanical dynamic characteristics directly related to the excitation signal.
Compared with the prior art, the invention has the following advantages: compared with the hard and fragile piezoelectric ceramics adopted by the structural fault diagnosis by the piezoelectric impedance method, the PVDF piezoelectric film adopted by the invention can be bent at will, meets the impedance fault diagnosis of structures with any shapes, and has wide applicability. Compared with the existing measuring method of a monolithic piezoelectric transducer plus a resistor, the measuring method couples strong capacitance information, and under the condition that a structural response signal is weak, the structural information is submerged in the capacitance signal; the invention utilizes the combination form of multiple piezoelectric films, can directly decouple and output the mechanical impedance signal of the measuring structure, and is convenient for subsequent signal analysis and processing, thereby having the advantages of strong anti-interference capability, obvious output signal characteristic and the like, and realizing the acquisition of the structural health state characteristic. In the application range, the selected PVDF film has excellent heat resistance, corrosion resistance and wear resistance, can be suitable for high-temperature environment and long-term outdoor use, has longer service life, has high flexibility, can be used for various surfaces with irregular structures such as bending and the like compared with the existing piezoelectric ceramic measuring method, is not easy to break, and has the characteristics of high flexibility, wide application range and the like.
Drawings
FIG. 1 is a block diagram of a design apparatus according to the present invention;
FIG. 2 is a schematic view of a dual piezoelectric transducer measurement;
FIG. 3 is a block diagram of a weak signal conditioning architecture;
FIG. 4 is a pre-amplifier circuit diagram;
FIG. 5 is a circuit diagram of a band pass filter;
FIG. 6 is a cross-correlation phase-locked amplification circuit diagram;
FIG. 7 is a circuit diagram of a low pass filter;
FIG. 8 is a graph of PVDF-based output response;
in the figure: 1. polyvinylidene fluoride (PVDF) piezoelectric film, 2 polyvinylidene fluoride (PVDF) piezoelectric film, 3 weak signal conditioning circuit.
Detailed Description
For the purposes of promoting an understanding and understanding of the invention, reference will now be made in detail to the present embodiments illustrated in the accompanying drawings.
Example 1: referring to fig. 1-8, a structural health monitoring device based on polyvinylidene fluoride (PVDF) piezoelectric thin film transducer comprises a dual piezoelectric transducer, a weak signal conditioning module (3) and a data acquisition system; the weak signal conditioning module (3) is arranged between the double piezoelectric transducers and the data acquisition system. The double piezoelectric transducer adopts two polyvinylidene fluoride (PVDF) piezoelectric films. After the weak signal conditioning module (3) amplifies analog signals output by the piezoelectric transducer (2) in a lossless manner, the piezoelectric transducer (1) outputs excitation signals and response signals and outputs two paths of direct current signals through the double cross-correlation phase-locked amplification circuit, and the data acquisition system acquires the direct current signals and analyzes the mechanical characteristics of the measured structure by using an impedance method. Two PVDF piezoelectric film sensors are adhered to the surface of a structure to be detected, one piezoelectric transducer (1) is used as a driver to receive an excitation signal, the other piezoelectric transducer (2) is used as a sensor, and the two piezoelectric transducers are used simultaneously to decouple and output a structural impedance response signal. The double piezoelectric transducers are adhered to the surface of the structure to be detected in parallel by using the epoxy resin structural adhesive. The weak signal conditioning module (3) adopts an instrument amplifier to perform lossless amplification on a measured analog signal, and uses an analog circuit to realize cross-correlation phase-locked amplification of an excitation signal and a response signal, so that noise in the measurement signal is fully suppressed, and mechanical dynamics directly related to the excitation signal are extracted. In the scheme, as shown in fig. 1, polyvinylidene fluoride (PVDF) piezoelectric films 1 and 2 are adhered to the surface of a structure to be tested, the PVDF piezoelectric film 1 applies excitation to the structure, an alternating excitation electric field is applied to a piezoelectric material due to the inverse piezoelectric effect, and the piezoelectric material is mechanically deformed along with the change of the electric field. When the excitation signal applied to the PVDF piezoelectric film 1 is a sweep frequency sinusoidal signal, the piezoelectric film 1 deforms along with the change of the excitation signal, the deformation degree of the piezoelectric film is in direct proportion to the voltage of the excitation signal, the piezoelectric film deforms to drive the structure to be detected to vibrate at the same frequency, and the vibration amplitude is in direct proportion to the deformation degree of the piezoelectric film.
The structure to be detected vibrates, the PVDF piezoelectric film 2 pasted on the structure to be detected senses the vibration of the structure to be detected, a voltage signal is output through a positive piezoelectric effect, and the output response voltage is in direct proportion to the vibration amplitude of the structure to be detected.
Starting from the constitutive equation of the piezoelectric transducer, a mechanical model is established for a piezoelectric-structure coupled system by using a method of assuming a mode, and meanwhile, a finite element model is established for the system by using finite element simulation software. Obtaining a kinetic equation:
Figure BDA0002354263520000041
Figure BDA0002354263520000042
wherein M, C, K, K12,CpRespectively the mass, damping and rigidity of the system, the electromechanical coupling coefficient matrix of the system, the capacitance of the piezoelectric transducer, V0Is the excitation voltage, Q, Q1And Q2The system mechanical response matrix and the two-piece transducer response charge are respectively, omega is the excitation signal frequency, and i represents the imaginary part. In the case where the two PVDF transducers are of identical size and are attached together, the measured voltage signal is
Figure BDA0002354263520000043
V (omega) completely represents the dynamic response of the system, the response signal has no direct current bias, and the direct amplification and analysis can be carried out under the condition of weak signal.
When the measured structure changes, according to the formula (3), namely M, C, K, K12,CpWhen the isoparametric parameters are changed, the V (omega) change curve is also changed correspondingly. Thus, the response voltage magnitude V (ω) may reflect the measured structure mechanical impedance characteristics.
The excitation signal is a sine sweep frequency alternating current signal, the amplitude of the excitation signal is unchanged, and the frequency changes along with the step length such as time.
Due to the extremely small electromechanical coupling coefficient of PVDF, the excitation force generated by the PVDF and the signal collected by the second piece of PVDF are estimated to be extremely weak. The weak signal detection module comprises an instrument amplifier and a cross-correlation phase-locked amplifying circuit, and the amplification factor of the instrument amplifier and the low-pass filtering parameter of the cross-correlation phase-locked amplifying circuit need to be adjusted according to actual conditions, so that the sampling precision and amplitude requirements of a sampling system are met.
As shown in FIG. 3Shown as a weak signal conditioning module block diagram, a response signal VpAfter lossless amplification by a pre-amplification circuit, respectively inputting the signals into a high-precision balance regulator AD630 to obtain Vp1、Vp2Excitation signal VsAfter 90 degrees phase shift, V is obtaineds2Wherein:
Figure BDA0002354263520000053
A. b is the signal amplitude, the excitation signal amplitude B is known, α, β are both signal phases, n (t) is the noise signal, and k is the amplification factor.
Vs1、Vs2The signals are respectively used as reference signals to be input into two high-precision balance regulators AD630, in a cross-correlation phase-locked amplifying circuit, the reference signals and response signals are subjected to multiplication operation, the frequency spectrum of the signals is shifted to a direct current position, and then the signals are subjected to low-pass filtering to obtain:
Figure BDA0002354263520000051
where m is the coefficient, Vo1、Vo2Input data acquisition system solving
Figure BDA0002354263520000052
As shown in FIG. 4, because the signal collected by the second PVDF is very weak, no DC bias is generated in the response signal, the response signal is directly amplified by using a high-precision instrument amplifier INA128, the voltage amplification factor is adjusted by changing the resistance value of the adjusting resistor, and the voltage amplification factor is adjusted according to the sampling precision and amplitude requirement of the actual circuit.
As shown in fig. 5, the amplified response signal is input from a terminal P5, and the filter circuit uses a TL082 dual operational amplifier to build a fourth-order active filter, so that the interference of the signal component input at a high frequency or a low frequency in the signal can be better removed.
As shown in fig. 6, the circuit diagram is an AD630 cross-correlation amplification module, and the other path has the same structure, a response signal is input through an SMA interface P1, a reference signal is input through an SMA interface P6, a signal passes through an AD630 demodulation circuit to transfer a same-frequency signal related to an excitation signal to a direct current, and an output signal is accessed to a low-pass filter to obtain direct current amplitude information.
As shown in FIG. 7, a low-pass filter is built by using a low-noise dual-operational amplifier TL082 for filtering out high-frequency signals in the output signal of the cross-correlation amplification circuit to obtain V containing the amplitude information of the detected response signalo1、Vo2。
As shown in fig. 8, the weak signal modulation system outputs two paths of signals Vo1、Vo2According to the formula (6), the curve V of the impedance information of the measured structure in the sweep frequency range with the frequency variation of the measured structure shown in FIG. 8 is obtainedoAnd (omega), analyzing the position and amplitude information of a peak point on the curve, and reflecting the mechanical dynamics characteristics of the measured structure.
When the shape and mass distribution of the measured structure are changed or the structure such as fine cracks appears in the measured structure, the mechanical dynamic characteristics of the measured structure are changed, and the relation curve of the impedance of the output structure and the frequency is also changed correspondingly. And applying a sweep frequency excitation signal to the measured structure again, acquiring information of response signals changing along with frequency, obtaining a curve of impedance information of the measured structure changing along with frequency in a sweep frequency range, analyzing the position and amplitude information of a peak point on the curve, and comparing the position and amplitude information with the curve under a normal condition, wherein due to the formula (3), the structure change of the measured structure can be analyzed, and the health monitoring of the measured structure is realized.
The structural vibration information of the structure to be measured is converted into the deformation of the PVDF piezoelectric film by the embodiment, and then is converted into an electric signal, so that the structural information is simply and conveniently acquired, the sensitivity is high, the practicability is high, the influence on the structure is small, and the monitoring condition is suitable for various complex and severe monitoring conditions.
The above description is only of the preferred embodiments of the present invention, and it should be noted that: it will be apparent to those skilled in the art that various modifications and adaptations can be made without departing from the principles of the invention and these are intended to be within the scope of the invention.

Claims (6)

1.一种基于聚偏氟乙烯(PVDF)压电薄膜换能器的结构健康监测装置，其特征在于，所述包括多片压电换能器、微弱信号调理模块(3)以及数据采集系统；所述微弱信号调理模块(3)设置在多片压电换能器和数据采集系统之间。1. A structural health monitoring device based on a polyvinylidene fluoride (PVDF) piezoelectric thin-film transducer, characterized in that the described device comprises multiple piezoelectric transducers, a weak signal conditioning module (3) and a data acquisition system ; The weak signal conditioning module (3) is arranged between the multi-piece piezoelectric transducer and the data acquisition system. 2.根据权利要求1所述的基于聚偏氟乙烯(PVDF)压电薄膜换能器的结构健康监测装置，其特征在于，所述压电换能器组采用两片或者两片以上聚偏氟乙烯(PVDF)压电薄膜。2 . The structural health monitoring device based on a polyvinylidene fluoride (PVDF) piezoelectric thin-film transducer according to claim 1 , wherein the piezoelectric transducer group adopts two or more polarizers. 3 . Vinyl Fluoride (PVDF) Piezo Film. 3.根据权利要求2所述的基于聚偏氟乙烯(PVDF)压电薄膜换能器的结构健康监测装置，其特征在于，微弱信号调理模块(3)对压电换能器(2)输出的信号放大后，压电换能器(1)输出激励信号和响应信号经过锁相放大电路和滤波电路输出信号，数据采集系统采集信号并利用阻抗法分析所测结构机械力学特性。3. The structural health monitoring device based on a polyvinylidene fluoride (PVDF) piezoelectric film transducer according to claim 2, wherein the weak signal conditioning module (3) outputs the piezoelectric transducer (2) After the signal is amplified, the piezoelectric transducer (1) outputs the excitation signal and the response signal through the lock-in amplifier circuit and the filter circuit to output the signal. The data acquisition system collects the signal and uses the impedance method to analyze the mechanical properties of the measured structure. 4.根据权利要求3所述的基于聚偏氟乙烯(PVDF)压电薄膜换能器的结构健康监测装置，其特征在于，多片PVDF压电薄膜传感器粘于被测结构表面，一片或者多片压电换能器(1)作为驱动器使用，接收激励信号，另外一片或者多片压电换能器(2)作为传感器使用，压电片组同时使用，解耦并输出结构阻抗响应信号。4. The structural health monitoring device based on a polyvinylidene fluoride (PVDF) piezoelectric thin film transducer according to claim 3, wherein a plurality of pieces of PVDF piezoelectric thin film sensors are adhered to the surface of the measured structure, and one or more Piezoelectric transducers (1) are used as drivers to receive excitation signals, and another piece or multiple pieces of piezoelectric transducers (2) are used as sensors. Piezoelectric pieces are used simultaneously to decouple and output structural impedance response signals. 5.根据权利要求4或5所述的基于聚偏氟乙烯(PVDF)压电薄膜换能器的结构健康监测装置，其特征在于，微弱信号调理模块(3)拟采用仪用放大器对测量的模拟信号的进行无损放大，并使用电路或者数字信号处理算法实现激励信号与响应信号的互相关锁相放大，充分抑制测量信号中的噪音并且提取出与激励信号直接相关的机械动力学特性。5. The structural health monitoring device based on a polyvinylidene fluoride (PVDF) piezoelectric thin film transducer according to claim 4 or 5, characterized in that the weak signal conditioning module (3) is intended to use an instrument amplifier to measure the Lossless amplification of the analog signal, and the use of circuits or digital signal processing algorithms to achieve inter-correlation phase-locked amplification of the excitation signal and response signal, fully suppress the noise in the measurement signal and extract the mechanical dynamic characteristics directly related to the excitation signal. 6.采用权利要求1-6任意一项基于聚偏氟乙烯(PVDF)压电薄膜换能器的结构健康监测装置的监测方法，其特征在于，所述方法如下：根据微弱信号调理模块输出信号得到所测结构机械阻抗；6. Adopt the monitoring method of the structural health monitoring device based on any one of the polyvinylidene fluoride (PVDF) piezoelectric thin-film transducers of claim 1-6, it is characterized in that, described method is as follows: according to weak signal conditioning module output signal Obtain the mechanical impedance of the measured structure; 从压电换能器的本构方程出发，利用假设模态的方法，对压电-结构耦合的系统建立力学模型，同时利用有限元仿真软件对系统建立有限元模型，得到动力学方程：Starting from the constitutive equation of the piezoelectric transducer, the method of assuming mode is used to establish a mechanical model for the piezoelectric-structure coupled system, and at the same time, the finite element simulation software is used to establish a finite element model for the system, and the dynamic equation is obtained:
Figure FDA0002354263510000011
Figure FDA0002354263510000011
Figure FDA0002354263510000012
Figure FDA0002354263510000012
 其中M,C,K,k12,Cp分别是系统的质量、阻尼、刚度、系统的机电耦合系数矩阵、压电换能器的电容,V0是激励电压，q,Q1和Q2分别是系统机械响应矩阵和两片换能器响应电荷，ω是激励信号频率，i表示虚部。在两片或者两片以上的PVDF换能器大小一致，并且贴在一起的情况下，所测得的电压信号是where M, C, K, k 12 , C p are the mass, damping, stiffness of the system, the electromechanical coupling coefficient matrix of the system, the capacitance of the piezoelectric transducer, V 0 is the excitation voltage, q, Q 1 and Q 2 are the mechanical response matrix of the system and the response charges of the two transducers, respectively, ω is the excitation signal frequency, and i is the imaginary part. When two or more PVDF transducers are of the same size and attached together, the measured voltage signal is
Figure FDA0002354263510000021
Figure FDA0002354263510000021
 所测得的信号完全表示系统的动力学响应，而且动力学响应信号没有直流偏置，直接对测量信号进行放大并且分析；The measured signal completely represents the dynamic response of the system, and the dynamic response signal has no DC offset, and the measured signal is directly amplified and analyzed; 当被测结构发生变化，根据公式(3)，输出响应信号随激励信号频率变化曲线也会发生变化；When the measured structure changes, according to formula (3), the output response signal will also change with the frequency change curve of the excitation signal; 根据相应信号随频率变化曲线判断对被测结构机械动力特征进行分析。The mechanical dynamic characteristics of the measured structure are analyzed according to the curve of the corresponding signal changing with frequency.
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CN113866276A (en) * 2020-06-30 2021-12-31 东南大学 Device and method for looseness detection of glass curtain wall based on piezoelectric transducer
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