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结构刚度矩阵和质量矩阵是关于设计参数的函数 ,而且事实上一般是非线性函数 .结构动力学设计通常要求结构具有指定的动力特性 ,结构动力学设计问题可以归纳为一类含设计参数的广义逆特征值问题 .首先给出了结构动力学设计问题的数学描述以及相应的求解准则和方法 ,然后 ,利用矩阵逆特征值问题的特点 ,将原来对整体矩阵的计算转化为对特定的局部矩阵的计算 ,整体矩阵与局部矩阵之间的数学和物理性质有明确的对应关系 ,既大大降低了计算量 ,又能保证计算精度 .算例证明了本文方法良好的性能
The structural stiffness matrix and the mass matrix are functions of design parameters, and in fact are generally nonlinear functions.Dynamic design of structures usually requires that structures have specified dynamic characteristics, and structural dynamic design problems can be generalized to a type of generalized inverse with design parameters Eigenvalue problem.Firstly, the mathematical description of the structural dynamics design problem and the corresponding solution criteria and methods are given. Then, the original calculation of the whole matrix is transformed into the calculation of the specific local matrix by using the characteristics of the inverse eigenvalue problem of the matrix Calculation, the overall matrix and the local matrix between the mathematical and physical properties of a clear correspondence between both greatly reduce the amount of computation, but also to ensure the accuracy of the calculation example shows that the method of good performance