连接体刚度对连体位移响应影响的平稳随机振动分析
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摘要
基于架空连体结构受力特点,将连体结构的串并联质点系层模型采用"等效分解"的新思路分解为单体和连接体两部分.运用林家浩提出的虚拟激励法,求出单体在连体位置的自谱值,以单体的自谱响应作为连接体多点完全相干的平稳随机激励,得出在平稳随机响应下连体位移响应方差的解析表达式,对连接体在不同连接刚度、阻尼作用下的位移方差响应进行详细讨论,发现连体刚度、阻尼变化对连接体位移响应方差在一定范围内有较大的影响.
On the basis of the mechanical characteristics of overhead connection structure,the layered model of serial and parallel mass point system in the connection structure was decomposed into such a two parts as monomers and connectors by using a new ideal of "equivalent decomposition".The auto-spectrum value of the monomers in connected position was found by using Lin Jia-hao's pseudo-excitation method first and then an analytic expression for square deviation of connector's displacement response was found for the stationary random response by using the monomer's auto-spectrum response as the stationary random excitation completely multi-point coherent with the connector.The displacement square deviation response of the connectors with different stiffness under different dampings was discussed in detail and it was found that the change of the connection stiffness and damping had a greater influence on the connector's displacement response square deviation within a definite range.
引文
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