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结合小波变换分析系统在演变非平稳随机激励下的响应

Analyzing Evolutionary Non-stationary Random Excitations of System by Wavelet Transform

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【作者】 李方兵张天舒方同

【Author】 LI Fang-bing1, ZHANG Tian-shu1, FANG Tong2(1. College of Basic Science, Donghua University, Shanghai 201620, China;2. Department of Engineering Mechanics, Northwestern Polytechnical University, Xi’an Shaanxi 710072, China)

【机构】 东华大学理学院西北工业大学工程力学系 上海201620上海201620陕西西安710072

【摘要】 针对非均匀调制演变非平稳随机激励,提出一种分析系统演变非平稳随机响应问题的一般方法.在演变非平稳随机激励模型的基础上,通过小波变换建立起演变非平稳随机激励的演变功率谱,然后进行随机响应分析,得到系统在非均匀调制演变非平稳随机激励下的响应.结合具体算例,通过数值仿真说明所提方法的有效性和正确性.

【Abstract】 For nonuniformly modulated evolutionary non-stationary random excitations, a general method of analyzing evolutionary non-stationary random responses of systems is presented . Firstly, based on the evolutionary non-stationary random excitation model, the evolutionary power spectrum density function (EPSD) of a random excitation can be given by wavelet transform. Then, through random responses analysis of system, the non-stationary random responses of a system subjected to nonuniformly modulated evolutionary non-stationary random excitations are obtained. Finally the validity of the method presented is illustrated in examples by numerical simulation.

  • 【文献出处】 东华大学学报(自然科学版) ,Journal of Donghua University(Natural Science) , 编辑部邮箱 ,2007年01期
  • 【分类号】O324
  • 【被引频次】1
  • 【下载频次】117
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