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本文给出了一种部件模态综合法,该法适用于具有连接件耦合的复杂结构系统,诸如拖拉机-拖车系统,转子-轴承-基础系统等。连接件简化为线性弹簧和线性阻尼。当解除部件之间连接件后,我们可以由计算或试验或兼由两者获得各种部件独立的自由界面主模态集信息,通过耦合力集合各部件运动方程而成总系统方程后,采用通常的求解线性代数方程的方法即可求解。用低阶子结构的模态坐标以降低高阶的总体物理坐标,其结果使计算机贮存和计算机时得到节省,这是很有意义的。作为一个算例,对某一拖拉机-拖车系统从159个自由度减为17个,综合后,其频率的最大计算误差为5.7％。本方法用于探索模态综合技术中子结构的矩阵形式为复数且不对称时数值计算的困难,这确实是值得进一步研究的问题。
In this paper, a method of component modal synthesis is presented, which is applicable to complex structural systems with coupling elements such as tractor-trailer system, rotor-bearing-foundation system and so on. Connectors simplify to linear springs and linear damping. When the connectors between the components are released, we can obtain the information of the main mode set of the free interfaces of various components independently by calculation or experiment or both. After integrating the equations of motion of the components by the coupling force, The usual method of solving linear algebraic equations can be solved. Using modal coordinates of the lower order substructure to reduce the overall physical coordinates of the higher order results in savings in computer storage and computing, which makes sense. As an example, for a tractor-trailer system from 159 degrees of freedom reduced to 17, after synthesis, the maximum calculation error of its frequency is 5.7%. The method is used to explore the difficulty of numerical calculation when the matrix structure of the neutron structure in the modal synthesis technique is complex and asymmetric, which is indeed a question worthy of further study.