用于分析车辆随机振动的一种新方法
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摘要
针对虚拟激励法描述过于简化的问题,从理论基础和基本公式出发,对虚拟激励法的基本原理进行了总结与说明,建立了虚拟激励、虚拟响应与其导数的关系。采用1/4车辆2自由度系统振动模型,应用虚拟激励法的思想,构造了虚拟路面激励,推导了1/4车辆两自由度振动系统的频率响应特性,建立了求取系统振动响应量功率谱密度的公式,给出了应用虚拟激励法求解振动响应量功率谱密度的算例。结果表明,虚拟激励法取得了与傅里叶分析方法相同的效果,但推导更简单,不用推导振动响应量的频率响应特性。
Aiming at unduly simplification problem of virtual excitation method and starting from basic theory and basic formula,summary and explanation on the fundamental principle of virtual excitation method was carried out.The relationship between virtual excitation,virtual response and its derivatives was established.Virtual road surface excitation has been constructed by applying the thoughts of virtual excitation method.The frequency response characteristics of 2DOF vibration system of 1/4 vehicle was deduced.Formulae for seeking the power spectrum density of volume of response in the system vibration were established.A calculational example for solving the power spectrum density of volume of vibration response was presented by applying the virtual excitation method.The result indicated that this virtual excitation method acquired similar effects of the method of Fourier analysis,yet its derivation was much simpler,without the derivation on the frequency response characteristics of volume of vibration response.
Aiming at unduly simplification problem of virtual excitation method and starting from basic theory and basic formula,summary and explanation on the fundamental principle of virtual excitation method was carried out.The relationship between virtual excitation,virtual response and its derivatives was established.Virtual road surface excitation has been constructed by applying the thoughts of virtual excitation method.The frequency response characteristics of 2DOF vibration system of 1/4 vehicle was deduced.Formulae for seeking the power spectrum density of volume of response in the system vibration were established.A calculational example for solving the power spectrum density of volume of vibration response was presented by applying the virtual excitation method.The result indicated that this virtual excitation method acquired similar effects of the method of Fourier analysis,yet its derivation was much simpler,without the derivation on the frequency response characteristics of volume of vibration response.
引文
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[6]戴新进,林家浩,陈浩然.敷设黏弹性阻尼层的复合材料结构非平稳随机振动分析[J].航空学报,2007,28(增):109-115.
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[2]林家浩.随机地震响应的确定性算法[J].地震工程与工程振动,1985,5(1):89-94.
[3]林家浩.海洋平台对不规则波的随机响应及在DASOS-J的实现[J].大连工学院学报,1996,25(2):1-8.
[4]林家浩,张亚辉.随机振动的虚拟激励法[M].北京:科学出版社,2004.
[5]刘高,王秀伟.基于虚拟激励法的大跨桥梁抖振内力分析[J].计算力学学报,2003,20(6):649-654.
[6]戴新进,林家浩,陈浩然.敷设黏弹性阻尼层的复合材料结构非平稳随机振动分析[J].航空学报,2007,28(增):109-115.
[7]樊振江.机械振动及其计算机辅助测试技术[M].北京:机械工业出版社,1996.
[8]庄表中,王行新.随机振动概论[M].北京:地震出版社,1982.
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