连接结构刚度识别的偏微分方程反演方法

Identification of joint stiffness by inverse of partial differential equations

在航天器的结构动力学特性分析中 ,连接结构的力学特性研究是一个比较薄弱的环节 .因为航天器中连接结构的刚度、阻尼受多种因素的影响 ,很难仅通过分析计算给出比较准确的模型参数 ,所以往往需要通过参数辨识方法识别这些参数 .以悬臂梁为例 ,从结构动力学微分方程逆问题的角度出发 ,应用偏微分方程最佳摄动量反演方法来识别其中连接结构的刚度参数 ,给出了利用测试数据识别连接结构刚度的具体步骤 .

Accurate parameters necessary for modelling of joints can not be obtained through analysis and compution only, and an experiment on the identification of parameters is therefore necessary. An optimization method is proposed to identify the stiffness of joints in a cantilever, which originated from the inverse of partial differential equations. Numerical examples are given to verify the feasibility and effectiveness of this method.