CN205662571U - Online quantification evaluation system of vibration prescription effect - Google Patents

Online quantification evaluation system of vibration prescription effect Download PDF

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CN205662571U
CN205662571U CN201620371302.4U CN201620371302U CN205662571U CN 205662571 U CN205662571 U CN 205662571U CN 201620371302 U CN201620371302 U CN 201620371302U CN 205662571 U CN205662571 U CN 205662571U
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dimensionless
excitation
vibration
vibration aging
computer system
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顾邦平
胡雄
严小兰
梅潇
赖金涛
杨振生
张帆
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Shanghai Maritime University
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Abstract

振动时效效果的在线定量化评价系统,包括上位机系统、信号发生器、驱动器、激振器、加速度传感器、电荷放大器、示波器、支撑装置;工件与激振器固定连接,并且采用具有弹性的支撑装置对工件进行支撑;上位机系统控制信号发生器输出幅值和频率均独立且连续可调的正弦激振信号;上位机系统包括激振频率获取模块,激振时间获取模块,电压波形获取模块,电压提取模块,振级转换模块,激振幅值转换模块,无量纲处理模块,以及振动时效效果与无量纲激振频率、无量纲激振幅值、无量纲激振时间之间的相互关系设置模块。本实用新型具有能够实现对振动时效效果进行在线定量化评价的优点。

On-line quantitative evaluation system of vibration aging effect, including upper computer system, signal generator, driver, vibrator, acceleration sensor, charge amplifier, oscilloscope, support device; the workpiece is fixedly connected to the vibrator, and adopts elastic support The device supports the workpiece; the upper computer system controls the signal generator to output a sinusoidal excitation signal whose amplitude and frequency are independent and continuously adjustable; the upper computer system includes an excitation frequency acquisition module, an excitation time acquisition module, and a voltage waveform acquisition module , the voltage extraction module, the vibration level conversion module, the excitation amplitude conversion module, the dimensionless processing module, and the relationship setting module between the vibration aging effect and the dimensionless excitation frequency, dimensionless excitation amplitude, and dimensionless excitation time . The utility model has the advantage of being able to realize on-line quantitative evaluation of the vibration aging effect.

Description

一种振动时效效果的在线定量化评价系统An Online Quantitative Evaluation System of Vibration Aging Effect

技术领域technical field

本实用新型涉及振动时效技术领域,特指一种振动时效效果的在线定量化评价系统及方法。The utility model relates to the technical field of vibration aging, in particular to an online quantitative evaluation system and method for vibration aging effects.

背景技术Background technique

振动时效效果的评价是振动时效技术领域研究的关键问题之一,所谓振动时效效果是指振动时效消除残余应力的效果。目前振动时效效果的评价方法主要包括:参数曲线法、残余应力测量法和精度稳定性检测法。The evaluation of vibration aging effect is one of the key issues in the field of vibration aging technology research. The so-called vibration aging effect refers to the effect of vibration aging to eliminate residual stress. At present, the evaluation methods of vibration aging effect mainly include: parameter curve method, residual stress measurement method and precision stability detection method.

(1)参数曲线法:参数曲线法是根据振动时效过程中参数发生有规律的变化现象总结出来的,能够对振动时效技术的效果进行在线定性评价,所用的评价准则主要包括:振动时效处理后扫频曲线的共振峰值比振动时效处理前升高;振动时效处理后扫频曲线的共振频率比振动时效处理前降低;振动时效处理后扫频曲线的带宽比振动时效处理前变窄。参数曲线法虽然是一种在线、直观、快速便捷的方法,但是这种方法只能对振动时效的效果进行定性的描述,而不能给出定量化的评价结果。(2)残余应力测量法:为了准确的评价振动时效技术消除残余应力的效果,就需要准确地评估构件振动时效前后的残余应力,然而构件内部的残余应力分布情况,特别是一些复杂构件内部残余应力的分布状态,很难采用理论计算的方法进行分析求解,所以采用实验测量的方法评估构件内部的残余应力具有非常重要的现实意义。目前残余应力的实验测量方法主要包括无损的物理测量法和有损的机械测量法,能够离线的评估构件振动时效处理前后的残余应力。残余应力测量法属于离线的评价方法,只能在振动时效过程结束后对振动时效效果进行评价。(3)精度稳定性检测法:精度稳定性检测法是通过检测构件振动时效处理后的精度来评价振动时效技术的效果,能够对振动时效技术的效果进行离线定性的评价,主要包括长期放置精度法、加动载荷后精度法等。长期放置精度法是将经过振动时效处理后的构件长期放置并且定期检测构件的尺寸稳定性,具体操作流程是在放置15天时第一次检测,以后每隔30天检测一次,总的放置时间应该在半年以上;加动载荷后精度法是检测经过振动时效处理后的构件在动载荷作用后的尺寸精度的变化量。精度稳定性检测法也属于离线、定性的评价方法, 并且这种方法需要的评估周期很长。综上所述,我们不难发现这些方法虽然能够对振动时效的效果进行定性或定量的评价,但是都无法对振动时效的效果进行在线定量化评价。(1) Parameter curve method: The parameter curve method is summarized according to the regular changes in parameters during the vibration aging process, and can conduct online qualitative evaluation of the effect of vibration aging technology. The evaluation criteria used mainly include: After vibration aging treatment The resonance peak of frequency sweep curve is higher than that before vibration aging treatment; the resonance frequency of frequency sweep curve after vibration aging treatment is lower than that before vibration aging treatment; the bandwidth of frequency sweep curve after vibration aging treatment is narrower than that before vibration aging treatment. Although the parameter curve method is an online, intuitive, fast and convenient method, this method can only describe the effect of vibration aging qualitatively, but cannot give quantitative evaluation results. (2) Residual stress measurement method: In order to accurately evaluate the effect of vibration aging technology to eliminate residual stress, it is necessary to accurately evaluate the residual stress of components before and after vibration aging. However, the distribution of residual stress inside components, especially some complex components. It is difficult to analyze and solve the stress distribution state by theoretical calculation method, so it has very important practical significance to use the method of experimental measurement to evaluate the residual stress inside the component. At present, the experimental measurement methods of residual stress mainly include non-destructive physical measurement method and destructive mechanical measurement method, which can evaluate the residual stress of components before and after vibration aging treatment off-line. The residual stress measurement method is an off-line evaluation method, which can only evaluate the vibration aging effect after the vibration aging process is over. (3) Accuracy stability detection method: The accuracy stability detection method is to evaluate the effect of vibration aging technology by detecting the accuracy of components after vibration aging treatment, and can conduct offline qualitative evaluation of the effect of vibration aging technology, mainly including long-term placement accuracy method, precision method after adding dynamic load, etc. The long-term placement accuracy method is to place the components after vibration aging treatment for a long time and regularly test the dimensional stability of the components. The specific operation process is to test for the first time when it is placed for 15 days, and to test every 30 days thereafter. The total placement time should be More than half a year; the accuracy method after adding dynamic load is to detect the change in dimensional accuracy of components after vibration aging treatment after dynamic load. The accuracy and stability detection method is also an off-line, qualitative evaluation method, and this method requires a long evaluation period. To sum up, it is not difficult to find that although these methods can evaluate the effect of vibration aging qualitatively or quantitatively, they cannot conduct online quantitative evaluation of the effect of vibration aging.

实用新型内容Utility model content

为了克服现有振动时效效果的评价方法无法实现振动时效效果在线定量化评价的不足,本实用新型提出一种振动时效效果的在线定量化评价系统及方法。In order to overcome the deficiency that the existing evaluation method of vibration aging effect cannot realize the online quantitative evaluation of vibration aging effect, the utility model proposes an online quantitative evaluation system and method of vibration aging effect.

振动时效效果的在线定量化评价系统,包括上位机系统、信号发生器、驱动器、激振器、加速度传感器、电荷放大器、示波器、支撑装置;工件与激振器固定连接,并且采用具有弹性的支撑装置对工件进行支撑;上位机系统控制信号发生器输出幅值和频率均独立且连续可调的正弦激振信号;信号发生器输出的正弦激振信号经由驱动器输入激振器,从而驱动激振器产生振动;加速度传感器安装在工件上,加速度传感器的输出端与电荷放大器的输入通道连接,电荷放大器的输出通道与示波器连接,示波器与上位机系统连接。On-line quantitative evaluation system of vibration aging effect, including upper computer system, signal generator, driver, vibrator, acceleration sensor, charge amplifier, oscilloscope, support device; the workpiece is fixedly connected to the vibrator, and adopts elastic support The device supports the workpiece; the upper computer system controls the signal generator to output a sinusoidal excitation signal with independent and continuously adjustable amplitude and frequency; the sinusoidal excitation signal output by the signal generator is input into the exciter through the driver to drive the excitation The device generates vibration; the acceleration sensor is installed on the workpiece, the output of the acceleration sensor is connected to the input channel of the charge amplifier, the output channel of the charge amplifier is connected to the oscilloscope, and the oscilloscope is connected to the host computer system.

上位机系统包括获取振动时效的激振频率f(kHz)的激振频率f获取模块,获取振动时效的激振时间t(min)的激振时间t获取模块,获取示波器显示的电压波形的电压波形获取模块,从电压波形中获取电压峰值U(V)的电压提取模块,将电压峰值转换为输出的加速度振级a(ms-2)的振级a转换模块,将输出的加速度振级a转换为振动时效的激振幅值A(μm)的激振幅值A转换模块,将激振频率f、激振幅值A、激振时间t进行无量纲处理的无量纲处理模块,以及振动时效效果F与无量纲激振频率无量纲激振幅值无量纲激振时间之间的相互关系设置模块。The upper computer system includes an excitation frequency f acquisition module for obtaining the excitation frequency f (kHz) of the vibration aging, an excitation time t acquisition module for obtaining the excitation time t (min) of the vibration aging, and obtaining the voltage of the voltage waveform displayed by the oscilloscope The waveform acquisition module is a voltage extraction module that obtains the voltage peak value U (V) from the voltage waveform, and converts the voltage peak value into an output acceleration vibration level a (ms -2 ) vibration level a conversion module that converts the output acceleration vibration level a The excitation amplitude A conversion module converted into the excitation amplitude A (μm) of vibration aging, the dimensionless processing module for dimensionless processing of the excitation frequency f, excitation amplitude A, and excitation time t, and the vibration aging effect F and dimensionless excitation frequency dimensionless excitation amplitude Dimensionless excitation time Interrelationships between modules are set.

振级转换模块中预设有加速度传感器的灵敏度值s(pC/ms-2),电荷放大器输入通道的灵敏度系数S(pC/Unit),放大系数K(Unit/V);输出的加速度振级与电压峰值之间的转换关系为:输出的加速度振级与激振幅值之间的转换关系为:无量纲处理模块中预设有激振频率f与无量纲激振频率之间的转换关系激振幅值A与无量纲激振幅值之间的转换关系以及激振时间t与无量纲激振时间之间的转换关系 其中f0为1kHz,A0为1μm、t0为1min。The vibration level conversion module presets the sensitivity value s (pC/ms -2 ) of the acceleration sensor, the sensitivity coefficient S (pC/Unit) of the input channel of the charge amplifier, and the amplification factor K (Unit/V); the output acceleration vibration level The conversion relationship between and the peak voltage is: The conversion relationship between the output acceleration vibration level and the excitation amplitude is: The dimensionless processing module presets the excitation frequency f and the dimensionless excitation frequency conversion relationship between Excitation Amplitude A and Dimensionless Excitation Amplitude conversion relationship between And the excitation time t and the dimensionless excitation time conversion relationship between Among them, f 0 is 1 kHz, A 0 is 1 μm, and t 0 is 1 min.

进一步,加速度传感器为压电式加速度传感器。Further, the acceleration sensor is a piezoelectric acceleration sensor.

进一步,支撑装置为弹性元件。Further, the supporting device is an elastic element.

本实用新型的技术构思是:由上位机系统、信号发生器、驱动器、激振器、加速度传感器、电荷放大器以及示波器构成振动时效效果的在线定量化评价系统;将工件与激振器固定连接;采用支撑装置对工件进行支撑,以便激振器对工件进行激振;上位机系统实时获取无量纲激振频率无量纲激振幅值以及无量纲激振时间并根据振动时效效果F与无量纲激振频率无量纲激振幅值 无量纲激振时间之间的相互关系,对振动时效效果进行在线定量化的评价。The technical concept of the utility model is: an online quantitative evaluation system for the vibration aging effect is composed of a host computer system, a signal generator, a driver, a vibration exciter, an acceleration sensor, a charge amplifier and an oscilloscope; the workpiece is fixedly connected to the vibration exciter; The workpiece is supported by a supporting device so that the exciter can excite the workpiece; the upper computer system obtains the dimensionless excitation frequency in real time dimensionless excitation amplitude and the dimensionless excitation time And according to the vibration aging effect F and the dimensionless excitation frequency dimensionless excitation amplitude Dimensionless excitation time On-line quantitative evaluation of the vibration aging effect.

本实用新型的有益效果是:The beneficial effects of the utility model are:

1、能够将加速度传感器输出的电荷信号转换为加速度振级,进而将加速度振级转换为激振幅值,实时、准确地获知作用在工件上的激振幅值。1. It can convert the charge signal output by the acceleration sensor into the acceleration vibration level, and then convert the acceleration vibration level into the excitation amplitude value, and obtain the excitation amplitude value acting on the workpiece in real time and accurately.

2、能够建立振动时效效果F与无量纲激振频率无量纲激振幅值以及无量纲激振时间之间的定量化函数关系,能够实现对振动时效效果进行在线定量化的评价。2. Able to establish vibration aging effect F and dimensionless excitation frequency dimensionless excitation amplitude and the dimensionless excitation time The quantitative functional relationship between them can realize the online quantitative evaluation of the vibration aging effect.

3、上位机系统能够自动获取无量纲激振频率无量纲激振幅值以及无量纲激振时间实现对振动时效效果进行在线定量化的评价,无需手动操作,减少了工作量,提高了工作效率。3. The upper computer system can automatically obtain the dimensionless excitation frequency dimensionless excitation amplitude and the dimensionless excitation time On-line quantitative evaluation of vibration aging effects is realized without manual operation, which reduces workload and improves work efficiency.

附图说明Description of drawings

图1振动时效效果的在线定量化评价系统Figure 1 On-line quantitative evaluation system of vibration aging effect

图2 Cr12MoV钢试样的尺寸示意图Fig.2 Schematic diagram of the dimensions of Cr12MoV steel samples

具体实施方式detailed description

参照附图,进一步说明本实用新型:With reference to accompanying drawing, further illustrate the utility model:

振动时效效果的在线定量化评价系统,包括上位机系统、信号发生器、驱动器、激振器1、加速度传感器2、电荷放大器、示波器、支撑装置4;工件3与激振器1固定连接,并且采用具有弹性的支撑装置4对工件3进行支撑;上位机系统控制信号发生器输出幅值和频率均独立且连续可调的正弦激振信号;信号发 生器输出的正弦激振信号经由驱动器输入激振器1,从而驱动激振器1产生振动;加速度传感器2安装在工件3上,加速度传感器2的输出端与电荷放大器的输入通道连接,电荷放大器的输出通道与示波器连接,示波器与上位机系统连接。The on-line quantitative evaluation system of the vibration aging effect includes a host computer system, a signal generator, a driver, an exciter 1, an acceleration sensor 2, a charge amplifier, an oscilloscope, and a support device 4; the workpiece 3 is fixedly connected to the exciter 1, and The workpiece 3 is supported by an elastic supporting device 4; the host computer system controls the signal generator to output a sinusoidal excitation signal with independent amplitude and frequency and continuously adjustable; the sinusoidal excitation signal output by the signal generator is input via the driver vibrator 1, so as to drive the vibrator 1 to generate vibration; the acceleration sensor 2 is installed on the workpiece 3, the output terminal of the acceleration sensor 2 is connected to the input channel of the charge amplifier, the output channel of the charge amplifier is connected to the oscilloscope, and the oscilloscope is connected to the upper computer system connect.

上位机系统包括获取振动时效的激振频率f(kHz)的激振频率f获取模块,获取振动时效的激振时间t(min)的激振时间t获取模块,获取示波器显示的电压波形的电压波形获取模块,从电压波形中获取电压峰值U(V)的电压提取模块,将电压峰值转换为输出的加速度振级a(ms-2)的振级a转换模块,将输出的加速度振级a转换为振动时效的激振幅值A(μm)的激振幅值A转换模块,将激振频率f、激振幅值A、激振时间t进行无量纲处理的无量纲处理模块,以及振动时效效果F与无量纲激振频率无量纲激振幅值无量纲激振时间之间的相互关系设置模块。The upper computer system includes an excitation frequency f acquisition module for obtaining the excitation frequency f (kHz) of the vibration aging, an excitation time t acquisition module for obtaining the excitation time t (min) of the vibration aging, and obtaining the voltage of the voltage waveform displayed by the oscilloscope The waveform acquisition module is a voltage extraction module that obtains the voltage peak value U (V) from the voltage waveform, and converts the voltage peak value into an output acceleration vibration level a (ms -2 ) vibration level a conversion module that converts the output acceleration vibration level a The excitation amplitude A conversion module converted into the excitation amplitude A (μm) of vibration aging, the dimensionless processing module for dimensionless processing of the excitation frequency f, excitation amplitude A, and excitation time t, and the vibration aging effect F and dimensionless excitation frequency dimensionless excitation amplitude Dimensionless excitation time Interrelationships between modules are set.

振级转换模块中预设有加速度传感器2的灵敏度值s(pC/ms-2),电荷放大器输入通道的灵敏度系数S(pC/Unit),放大系数K(Unit/V);输出的加速度振级与电压峰值之间的转换关系为:输出的加速度振级与激振幅值之间的转换关系为:无量纲处理模块中预设有激振频率f与无量纲激振频率之间的转换关系激振幅值A与无量纲激振幅值之间的转换关系以及激振时间t与无量纲激振时间之间的转换关系 其中f0为1kHz,A0为1μm、t0为1min。The vibration level conversion module is preset with the sensitivity value s (pC/ms -2 ) of the acceleration sensor 2, the sensitivity coefficient S (pC/Unit) of the input channel of the charge amplifier, and the amplification factor K (Unit/V); the output acceleration vibration The conversion relationship between the level and the peak voltage is: The conversion relationship between the output acceleration vibration level and the excitation amplitude is: The dimensionless processing module presets the excitation frequency f and the dimensionless excitation frequency conversion relationship between Excitation Amplitude A and Dimensionless Excitation Amplitude conversion relationship between And the excitation time t and the dimensionless excitation time conversion relationship between Among them, f 0 is 1 kHz, A 0 is 1 μm, and t 0 is 1 min.

进一步,加速度传感器2为压电式加速度传感器。Further, the acceleration sensor 2 is a piezoelectric acceleration sensor.

进一步,支撑装置4为弹性元件。Further, the supporting device 4 is an elastic element.

振动时效效果的在线定量化评价方法包括以下步骤:The online quantitative evaluation method of vibration aging effect includes the following steps:

(1)、将工件3与激振器1固定连接;采用支撑装置4对工件3进行支撑,以便激振器1对工件3进行激振;接通上位机系统与信号发生器之间的信号连线;接通信号发生器与驱动器之间的信号连线;接通驱动器与激振器1之间的信号连线;接通上位机系统与示波器之间的信号连线;接通示波器与电荷放大器之间的信号连线;接通电荷放大器与加速度传感器2之间的信号连线;接通上位机系统、信号发生器、驱动器、激振器1、示波器、电荷放大器的电源。(1) Fix the workpiece 3 to the vibrator 1; use the supporting device 4 to support the workpiece 3 so that the vibrator 1 can excite the workpiece 3; connect the signal between the upper computer system and the signal generator connection; connect the signal connection between the signal generator and the driver; connect the signal connection between the driver and the exciter 1; connect the signal connection between the upper computer system and the oscilloscope; connect the oscilloscope and Connect the signal wires between the charge amplifiers; connect the signal wires between the charge amplifier and the acceleration sensor 2; connect the host computer system, the signal generator, the driver, the exciter 1, the oscilloscope, and the power supply of the charge amplifier.

(2)、在振级转换模块中设置加速度传感器2的灵敏度值s(pC/ms-2);电荷放大器输入通道的灵敏度系数S(pC/Unit),放大系数K(Unit/V)。(2) Set the sensitivity value s (pC/ms −2 ) of the acceleration sensor 2 in the vibration level conversion module; the sensitivity coefficient S (pC/Unit) and the amplification factor K (Unit/V) of the charge amplifier input channel.

(3)、激振频率获取模块获取振动时效的激振频率f(kHz);激振时间获取模块获取振动时效的激振时间t(min);电压波形获取模块获取示波器显示的电压波形;电压提取模块从电压波形中获取电压峰值U(V);振级转换模块中输出的加速度振级与电压峰值之间的转换关系为激振幅值转换模块中输出的激振幅值与加速度振级之间的转换关系为 (3), the excitation frequency acquisition module obtains the excitation frequency f (kHz) of the vibration aging; the excitation time acquisition module obtains the excitation time t (min) of the vibration aging; the voltage waveform acquisition module obtains the voltage waveform displayed by the oscilloscope; The extraction module obtains the voltage peak value U(V) from the voltage waveform; the conversion relationship between the acceleration vibration level output from the vibration level conversion module and the voltage peak value is The conversion relationship between the output excitation amplitude and the acceleration vibration level in the excitation amplitude conversion module is

(4)、无量纲处理模块对激振频率f、激振幅值A以及激振时间t进行无量纲处理,具体的激振频率f与无量纲激振频率之间的转换关系为激振幅值A与无量纲激振幅值之间的转换关系为以及激振时间t与无量纲激振时间之间的转换关系为其中f0为1kHz,A0为1μm、t0为1min。(4), the dimensionless processing module performs dimensionless processing on the excitation frequency f, the excitation amplitude A and the excitation time t, the specific excitation frequency f and the dimensionless excitation frequency The conversion relationship between Excitation Amplitude A and Dimensionless Excitation Amplitude The conversion relationship between And the excitation time t and the dimensionless excitation time The conversion relationship between Among them, f 0 is 1 kHz, A 0 is 1 μm, and t 0 is 1 min.

(5)、在振动时效效果F与无量纲激振频率无量纲激振幅值无量纲激振时间之间的相互关系设置模块中设置F与之间的相互关系为F(f,A,t),并将步骤(4)中实时获取的无量纲激振频率无量纲激振幅值以及无量纲激振时间代入F(f,A,t)中即可以对振动时效效果进行在线定量化的评价。(5), in the vibration aging effect F and the dimensionless excitation frequency dimensionless excitation amplitude Dimensionless excitation time The relationship between setting F and The relationship between is F(f,A,t), and the dimensionless excitation frequency obtained in real time in step (4) dimensionless excitation amplitude and the dimensionless excitation time By substituting it into F(f,A,t), the on-line quantitative evaluation of the vibration aging effect can be carried out.

步骤(5)中,获取振动时效效果F与无量纲激振频率无量纲激振幅值无量纲激振时间之间的相互关系的表达式F(f,A,t)包括以下步骤:In step (5), obtain the vibration aging effect F and the dimensionless excitation frequency dimensionless excitation amplitude Dimensionless excitation time The expression F(f,A,t) of the relationship between includes the following steps:

(5.1)、振动时效效果F与无量纲激振频率无量纲激振幅值无量纲激振时间之间的相互关系的表达式F(f,A,t)可以用如下的多项式进行逼近:式中:a1、a2、…、a11为实系数,其中a11为方程的常数项。(5.1), vibration aging effect F and dimensionless excitation frequency dimensionless excitation amplitude Dimensionless excitation time The expression F(f,A,t) of the relationship between them can be approximated by the following polynomial: In the formula: a 1 , a 2 , ..., a 11 are real coefficients, and a 11 is a constant term of the equation.

(5.2)、当工件3未经振动时效处理时,即三个工艺参数的取值均为0时,工 件3的残余应力消除效果应为0,所以常数项a11=0。因此,F(f,A,t)可以进一步表示为: (5.2) When the workpiece 3 has not been subjected to vibration aging treatment, that is, when the values of the three process parameters are all 0, the residual stress relief effect of the workpiece 3 should be 0, so the constant term a 11 =0. Therefore, F(f,A,t) can be further expressed as:

(5.3)、将10组不同的无量纲工艺参数组合以及它们所对应的振动时效效果F代入F(f,A,t)可以得到关于待定系数a1、a2、…、a10的10元1次方程组,通过求解此方程组即可以求解出这10个待定系数的数值。这10元1次方程组采用矩阵的形式可以表示为:(5.3), substituting 10 different combinations of dimensionless process parameters and their corresponding vibration aging effect F into F(f,A,t) can get the 10-elements of the undetermined coefficients a 1 , a 2 ,...,a 10 A system of equations of degree 1, by solving this system of equations, the values of the 10 undetermined coefficients can be obtained. This 10-element 1-degree equation system can be expressed in the form of a matrix as:

可以进一步表示为:Ga=F。It can be further expressed as: Ga=F.

式中:为无量纲工艺参数组合矩阵,该矩阵中的第i行表示第i次振动时效处理时的无量纲工艺参数的组合多项式;F=[Fi]为振动时效的效果矩阵;a=[ai]为待定系数矩阵。In the formula: It is a dimensionless process parameter combination matrix, and the i-th row in the matrix represents the combination polynomial of the dimensionless process parameters during the ith vibration aging treatment; F=[F i ] is the effect matrix of vibration aging; a=[a i ] is the undetermined coefficient matrix.

(5.4)、为了求解出10个待定系数,至少需要10组不同的实验数据,为了使得步骤(5.3)中的矩阵方程有唯一的解,则无量纲工艺参数组合矩阵G的秩应满足r(G)=10,即无量纲工艺参数组合矩阵应为满秩矩阵。因此,待定系数可以通过如下的矩阵方程求解得到:(5.4), in order to solve 10 undetermined coefficients, at least 10 groups of different experimental data are needed, in order to make the matrix equation in the step (5.3) have a unique solution, then the rank of the dimensionless process parameter combination matrix G should satisfy r( G)=10, that is, the dimensionless process parameter combination matrix should be a full-rank matrix. Therefore, the undetermined coefficients can be obtained by solving the following matrix equation:

将求解出的10个待定系数代入步骤(5.2)中的表达式F(f,A,t),即可以建立振动时效效果F与无量纲激振频率无量纲激振幅值无量纲激振时间之间的相互关系的表达 式F(f,A,t)。 Substituting the solved 10 undetermined coefficients into the expression F(f,A,t) in step (5.2), the vibration aging effect F and the dimensionless excitation frequency can be established dimensionless excitation amplitude Dimensionless excitation time The expression F(f,A,t) of the relationship between them.

获取振动时效效果F与无量纲激振频率无量纲激振幅值无量纲激振时间之间的相互关系的表达式的具体实施细节为:假设函数F(f,A,t)的定义域为有界闭区域D,且在该区域D内是实值连续函数。P1(f,A,t)、P2(f,A,t)、…、Pk(f,A,t)是定义于D上的k个线性无关的实值连续函数(通常取为多元多项式函数),其中把由P1(f,A,t)、P2(f,A,t)、…、Pk(f,A,t)组合做成的线性空间P称为线性插值空间,则P中任意的函数可以表示为:P(f,A,t)=α1P1(f,A,t)+α2P2(f,A,t)+…+αkPk(f,A,t),Obtain vibration aging effect F and dimensionless excitation frequency dimensionless excitation amplitude Dimensionless excitation time The specific implementation details of the expressions of the interrelationships are as follows: Assume that the domain of the function F(f, A, t) is a bounded closed area D, and within this area D is a real-valued continuous function. P 1 (f, A, t), P 2 (f, A, t), ..., P k (f, A, t) are k linearly independent real-valued continuous functions defined on D (usually taken as Multivariate polynomial function), where the linear space P made by the combination of P 1 (f, A, t), P 2 (f, A, t), ..., P k (f, A, t) is called linear interpolation space, then any function in P can be expressed as: P(f,A,t)=α 1 P 1 (f,A,t)+α 2 P 2 (f,A,t)+…+α k P k (f,A,t),

式中:α1、α2、…、αk为实系数。根据Weierstrass逼近定理可知,若函数P(f,A,t)可以用来逼近函数F(f,A,t),则对于任意给定的ε,有|F(f,A,t)-P(f,A,t)|<ε,其中f,A,t∈D。因此,本实用新型旨在通过无量纲激振频率无量纲激振幅值和无量纲激振时间这三个工艺参数组成的多元多项式函数,采用多元函数逼近理论逼近建立出振动时效效果F与无量纲激振频率无量纲激振幅值无量纲激振时间之间的相互关系的表达式F(f,A,t)。In the formula: α 1 , α 2 , ..., α k are real coefficients. According to the Weierstrass approximation theorem, if the function P(f,A,t) can be used to approximate the function F(f,A,t), then for any given ε, there is |F(f,A,t)-P (f,A,t)|<ε, where f,A,t∈D. Therefore, the utility model aims to pass the dimensionless excitation frequency dimensionless excitation amplitude and dimensionless excitation time The multivariate polynomial function composed of these three process parameters is approximated by the multivariate function approximation theory to establish the vibration aging effect F and the dimensionless excitation frequency dimensionless excitation amplitude Dimensionless excitation time The expression F(f,A,t) of the relationship between them.

为了获取建立表达式F(f,A,t)所需的实验数据,对图2所示的试样进行振动时效处理。为了能够求解出步骤(5.2)建立的表达式F(f,A,t)中的10个待定系数,需要选择10组不同的实验数据,且无量纲工艺参数组合矩阵必须为满秩矩阵,即无量纲工艺参数组合矩阵的秩为10。考虑到实验数据测试过程中存在一定的误差,为了提高建立的表达式F(f,A,t)具有更高的可靠性和普遍性,选取11组实验数据用于建立表达式F(f,A,t),见表1。依次从11组实验数据中选取其中的10组用于构造无量纲工艺参数组合矩阵G,并规定rj(G)为去掉11组实验数据中的第j组数据后,所构造出的无量纲工艺参数组合矩阵G的秩,j=1~11。采用Matlab软件中的rank函数依次计算所构造出的无量纲工艺参数组合矩阵G的秩,若求解结果满足r1(G)=r2(G)=…=r11(G)=10,则说明选取的实验数据可 以用于求解出11组待定系数,若求解结果不满足r1(G)=r2(G)=…=r11(G)=10这个条件时,则需要重新选择实验数据。In order to obtain the experimental data required to establish the expression F(f,A,t), the sample shown in Fig. 2 was subjected to vibration aging treatment. In order to be able to solve the 10 undetermined coefficients in the expression F(f,A,t) established in step (5.2), it is necessary to select 10 different sets of experimental data, and the dimensionless process parameter combination matrix must be a full-rank matrix, namely The rank of the dimensionless process parameter combination matrix is 10. Considering that there are certain errors in the experimental data testing process, in order to improve the reliability and universality of the established expression F(f,A,t), 11 sets of experimental data were selected to establish the expression F(f,A,t). A,t), see Table 1. Select 10 groups from the 11 groups of experimental data in order to construct the dimensionless process parameter combination matrix G, and specify that r j (G) is the dimensionless The rank of the process parameter combination matrix G, j=1-11. Using the rank function in the Matlab software to calculate the rank of the constructed dimensionless process parameter combination matrix G in turn, if the solution result satisfies r 1 (G)=r 2 (G)=...=r 11 (G)=10, then It shows that the selected experimental data can be used to solve 11 sets of undetermined coefficients. If the solution result does not meet the condition of r 1 (G)=r 2 (G)=...=r 11 (G)=10, you need to re-select the experiment data.

表1用于计算待定系数矩阵的无量纲工艺参数及时效效果Table 1 Dimensionless process parameters and aging effects used to calculate the undetermined coefficient matrix

求解10个待定系数的过程中,首先每次从11组实验数据中选取其中的10组构造无量纲工艺参数组合矩阵G;其次采用Matlab软件中的inv函数求解出无量纲工艺参数组合矩阵G的逆矩阵G-1,并在Matlab软件中将矩阵G-1与振动时效的效果矩阵F相乘即可以求解出待定系数矩阵,这样可以获得11组不同的待定系数;然后将这11组待定系数分别取其平均值作为表达式F(f,A,t)的待定系数;最后将这些待定系数的均值代入步骤(5.2)建立的表达式F(f,A,t)即可以得到振动时效效果F与无量纲激振频率无量纲激振幅值无量纲激振时间之间的相互关系的表达式F(f,A,t)。In the process of solving the 10 undetermined coefficients, firstly, 10 groups of the 11 groups of experimental data are selected each time to construct the dimensionless process parameter combination matrix G; secondly, the inv function in the Matlab software is used to solve the dimensionless process parameter combination matrix G. Inverse matrix G -1 , and multiply matrix G -1 and vibration aging effect matrix F in Matlab software to solve the undetermined coefficient matrix, so that 11 groups of different undetermined coefficients can be obtained; then these 11 groups of undetermined coefficients Take their average values as the undetermined coefficients of the expression F(f,A,t); finally, substitute the average values of these undetermined coefficients into the expression F(f,A,t) established in step (5.2) to obtain the vibration aging effect F and dimensionless excitation frequency dimensionless excitation amplitude Dimensionless excitation time The expression F(f,A,t) of the relationship between them.

表2为求解出的11组待定系数。表2的最后一列为11组待定系数的均值,将这些待定系数的均值代入步骤(5.2)建立的表达式F(f,A,t),则最终建立的振动时效效果F与无量纲激振频率无量纲激振幅值无量纲激振时间之间的相互关系的表达式F(f,A,t)可以表示为:Table 2 shows the 11 groups of undetermined coefficients obtained from the solution. The last column in Table 2 is the mean value of 11 groups of undetermined coefficients. Substituting the mean value of these undetermined coefficients into the expression F(f,A,t) established in step (5.2), the final vibration aging effect F and dimensionless excitation frequency dimensionless excitation amplitude Dimensionless excitation time The expression F(f,A,t) of the relationship between can be expressed as:

表2求解出的各组待定系数的数值Table 2 The numerical value of each group of undetermined coefficients obtained by solving

本说明书实施例所述的内容仅仅是对实用新型构思的实现形式的列举,本实用新型的保护范围不应当被视为仅限于实施例所陈述的具体形式,本实用新型的保护范围也及于本领域技术人员根据本实用新型构思所能够想到的等同技术手段。The content described in the embodiments of this specification is only an enumeration of the realization forms of the utility model concept, and the protection scope of the utility model should not be regarded as being limited to the specific forms stated in the embodiments, and the protection scope of the utility model also extends to Equivalent technical means that those skilled in the art can think of according to the concept of the utility model.

Claims (3)

1.振动时效效果的在线定量化评价系统,包括上位机系统、信号发生器、驱动器、激振器、加速度传感器、电荷放大器、示波器、支撑装置;工件与激振器固定连接,并且采用具有弹性的支撑装置对工件进行支撑;上位机系统控制信号发生器输出幅值和频率均独立且连续可调的正弦激振信号;信号发生器输出的正弦激振信号经由驱动器输入激振器,从而驱动激振器产生振动;加速度传感器安装在工件上,加速度传感器的输出端与电荷放大器的输入通道连接,电荷放大器的输出通道与示波器连接,示波器与上位机系统连接。1. On-line quantitative evaluation system of vibration aging effect, including upper computer system, signal generator, driver, vibrator, acceleration sensor, charge amplifier, oscilloscope, support device; the workpiece is fixedly connected with the vibrator, and adopts elastic The supporting device supports the workpiece; the upper computer system controls the signal generator to output a sinusoidal excitation signal with independent amplitude and frequency and continuously adjustable; the sinusoidal excitation signal output by the signal generator is input into the exciter through the driver to drive The exciter generates vibration; the acceleration sensor is installed on the workpiece, the output of the acceleration sensor is connected to the input channel of the charge amplifier, the output channel of the charge amplifier is connected to the oscilloscope, and the oscilloscope is connected to the host computer system. 2.如权利要求1所述的振动时效效果的在线定量化评价系统,其特征在于:加速度传感器为压电式加速度传感器。2. The online quantitative evaluation system of vibration aging effect according to claim 1, characterized in that the acceleration sensor is a piezoelectric acceleration sensor. 3.如权利要求2所述的振动时效效果的在线定量化评价系统,其特征在于:支撑装置为弹性元件。3. The online quantitative evaluation system of vibration aging effect according to claim 2, characterized in that: the supporting device is an elastic element.
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Publication number Priority date Publication date Assignee Title
CN105861811A (en) * 2016-04-28 2016-08-17 上海海事大学 Online quantitative evaluation system and method for vibration aging effect

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN105861811A (en) * 2016-04-28 2016-08-17 上海海事大学 Online quantitative evaluation system and method for vibration aging effect

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