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当结构发生损坏时,其动力性质—振型与频率将有改变。本文讨论如何根据实测结构损坏后动力特性的变化探求其破损部位的问题。假设结构损坏后只测得其基本频率与基本振型的一部分分量,首先对结构的自由度作广义动力缩聚,再导出其运动平衡与能量的摄动方程线性近似表达式,求得结构上损坏了的单元刚度削弱系数。例题表明解答基本上反映了结构的损坏情况。
When the structure is damaged, its dynamic nature - mode shape and frequency will change. This article discusses how to explore the problem of damaged parts based on changes in the dynamic characteristics of the measured structural damage. Assuming that the structure is damaged, only its basic frequency and some components of the fundamental mode shape are measured. First, the structure’s degree of freedom is generalized and the power is condensed, and then the linear approximation formula of the perturbation equation of the motion equilibrium and energy is derived to obtain structural damage. The unit stiffness weakening factor. The example shows that the solution basically reflects the damage of the structure.