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提出一种通过特征方程反问题识别子结构界面连接刚度参数的直接方法。新方法以动柔度矩阵特征方程为基础,建立通过界面位移求解界面内力的方程,由模态叠加法对可测自由度上不完全的振型拟合估计界面不可测自由度上的位移,适合于部分子结构不具备可测自由度的复杂组合结构。数值仿真算例和工程实例表明本方法具有良好的识别精度和数值稳定性。计算量和对计算机存贮量的要求也较小。
A direct method of identifying the stiffness parameters of the substructure interface through the inverse problem of eigenvalue equations is proposed. The new method is based on the dynamic flexibility matrix eigenvalue equation to establish the equation of interface internal force through displacement of interface. The modal superposition method is used to fit the incomplete vibration modes of measurable degrees of freedom to estimate the displacement on the unmeasured degree of freedom interface, Suitable for some sub-structures do not have a measurable degree of complexity of the composite structure. Numerical examples and engineering examples show that this method has good recognition accuracy and numerical stability. The amount of computation and the amount of computer storage required is also small.