多轴平稳非高斯随机振动试验控制方法  

Control method for multi-axis stationary non-Gaussianrandom vibration test

作　　者：郑荣慧[1] 李晋鹏 魏小辉[1] 陈怀海[1] ZHENG Rong-hui;LI Jin-peng;WEI Xiao-hui;CHEN Huai-hai(State Key Laboratory of Mechanics and Control for Aerospace Structures,College of Aerospace Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China;Defense Technology Research and Test Center,China Aerospace Science and Industry Co.,Ltd.,Beijing 100854,China)

机构地区：[1]南京航空航天大学航空学院航空航天结构力学及控制全国重点实验室,江苏南京210016 [2]航天科工防御技术研究试验中心,北京100854

出　　处：《振动工程学报》2024年第3期522-527,共6页Journal of Vibration Engineering

基　　金：国家自然科学基金青年科学基金资助项目(12202187);中国博士后科学基金资助项目(2022M721610,2023T160313);江苏省卓越博士后计划(2022ZB210)。

摘　　要：多轴向平稳非高斯随机振动控制试验能够对指定响应信号的时、频域特征进行同时控制。提出了一种快速生成具有指定功率谱密度、斜度和峭度的平稳非高斯随机振动信号的方法。通过频率采样方法将目标功率谱密度设计成滤波器,利用非线性变换方法获取非高斯随机信号,再将此信号经过设计的滤波器以获得满足要求的非高斯随机信号。该方法简单、快速并克服了传统非线性变换方法的缺点。进一步将此方法应用于三轴向平稳非高斯随机振动试验中,给出了三轴向非高斯随机振动控制的闭环均衡步骤,此方法能够同时对信号的功率谱自谱、相干系数、相位差以及斜度和峭度进行解耦控制。进行了三轴向平稳非高斯随机振动控制试验,三个方向上加速度信号的功率谱密度、斜度和峭度控制效果均令人满意,满足工程应用要求。Multi-axial stationary non-Gaussian random vibration control tests can simultaneously control the time-frequency charac-teristics of the specified response signals.A fast method for generating stationary non-Gaussian random vibration signals with speci-fied power spectral density,skewness and kurtosis is proposed.The target power spectral density is designed as a filter by frequen-cy sampling method.The non-Gaussian random signal is obtained by nonlinear transformation method and then it passes through the designed filter to obtain the desired non-Gaussian random signals.This method is computationally efficient and overcomes the shortcoming of the traditional nonlinear transformation methods.This proposed method is applied to the three-axis stationary non-Gaussian random vibration test,and the closed-loop equalization step of the three-axis non-Gaussian random vibration control is given,which can decouple the power spectrum auto spectrum,coherence coefficient,phase difference,skewness and kurtosis of the signal at the same time.A three-axis stationary non-Gaussian random vibration control test is carried out.The control results of power spectral density,skewness and kurtosis in three directions are satisfactory which meet the requirements of engineering appli-cation.

关 键 词：随机振动 平稳非高斯 多轴振动 斜度 峭度 功率谱密度 

分 类 号：O324[理学—一般力学与力学基础]