摘要
传统随机振动试验的频域方法所模拟的是平稳高斯信号,但是实际振动环境往往是超高斯的,尤其是输电塔线系统受到的风载,且超高斯激励和高斯激励对结构的损害差异很大,因此对超高斯振动环境试验的研究就变得尤为重要。线性系统响应的超高斯特性研究是超高斯振动环境试验的关键,也是实现功率谱密度和峭度同时复现的基础。本文研究了超高斯激励下的线性系统响应,推导得到了响应峭度的时域和频域计算公式,并给出单自由度线性系统响应峭度的具体表达式。公式揭示了线性系统响应的超高斯特性与系统的阻尼比和激励的超高斯特性之间的关系,通过仿真验证了这一结论。最后搭建试验平台,对一根单输入单输出的悬臂梁进行了振动控制试验。试验结果表明其输出响应谱与给定的参考谱之间的误差完全满足工程中±3dB要求,而峭度则满足完全满足参考要求。
The traditional random vibration test with frequency domain method aims to generate a stationary and Gaussian vibration environment. But the practical vibration environments are always super-Gaussian, especially the wind load of transmission tower-line system, which can cause different damages to the structures compared with Gaussian excitations. Thus, it is significant to study the super-Gaussian test method. The research of characteristics of super-Gaussian linear system response is the key to super-Gaussian environment vibration test, and is the basis of PSI） and kurtosis repetition. The response of the linear system excited by super-Gaussian signals is studied, the formulas of response kurtosis are de- rived in both time and frequency domain. The concrete expression of the single degree of freedom linear system response kurtosis is displayed. This formula indicates that the super-Gaussian characteristics of the linear system response is relat- ed to excitation＇s super-Gaussian characteristics and system damping ratio, and the conclusion is verified by simulations. Phase selection method and traditional PSD decomposition method are used to generate super-Gaussian driving signal ac- cording to reference power spectrum density and kurtosis. Finally, a SISO cantilever beam control experiment results in- dicate that the error between output response spectrum and reference spectrum based on the proposed control algorithm meets the requirement ±3dB in engineering, and the kurtosis meets the reference requirement.
作者
王鹏宇
王慧娟
Wang Pengyu;Wang Huijuan(Electric Research Institute, State Grid Shanxi Electric Power, Taiyuan 030001, China;State Grid Shuozhou Power Supply Company, Shuozhou 036002, China)
出处
《国外电子测量技术》
2017年第11期103-107,共5页
Foreign Electronic Measurement Technology
关键词
超高斯
输电塔线系统
功率谱密度
峭度
单自由度线性系统
super-Gaussian
transmission tower-line system
power spectrum density
kurtosis
single freedom linear system
