一种满足结构动态特性要求的支持元件设计方法

对支持元件在结构动态特性设计中的重要性作了深入分析，提出了一种利用给定的固有频率、非完全的振型数据设计支持元件，使结构系统满足动态特性要求的支持元件设计方法。文中将支持元件的质量、刚度矩阵表示成设计变量的函数，根据要求的固有频率，已知支持情况的结构有限元模型，用简单的插值法获得了支持元件设计变量的初值；再设计过程中，为了避免振型数据不全的矛盾，采用聚缩模型的形式依据正交条件构造误差函数，用约束变尺度优化方法获得支持元件的最终设计结果。误差函数的梯度用差分法计算。最后详细给出了该方法在某型飞机机翼颤振吹风模型支持元件设计时实际应用的全过程，结果表明效果良好。

A New Method of Designing Support Elements under Given Structural Dynamic Characteristics

In general,the dynamic behavior of a mechanical system is strongly affected by boundary conditions.The importance of support elements in the design of structural dynamic characteristics is discussed.A new method,which uses the given incomplete modal parameters directly and satisfies the given requirements of structural dynamic characteristics by designing the support elements is introduced. The mass and stiffness matrices of the support elements are represented by a set of design variables. The initial design parameters are obtained by means of the given modal parameters and the FEM under known support conditions.The final design parameters of the support elements are obtained by minimizing the error function using a constrained variable metric (CVM) optimization procedure based on the reduced system matrices and orthogonality. The performance of the method is assessed by the support elements design of an aircraft air foil flutter model.The results show that it is very reliable and useful in engineering.