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首先介绍双协调自由界面模态综合法的基本原理,再应用该方法求解一桁架桥结构的固有特性,发现应用双协调自由界面模态综合法计算精度高。以三种不同的形式划分子结构,通过比较整体结构的固有频率计算结果,提出若干划分子结构的原则,并研究了子结构主模态截断阶数对模态综合法计算精度的影响。从而得出子结构的高阶主模态的频率越高则计算精度越高的结论,并用频率截断准则从理论上做出了解释。提高自由界面模态综合法精度的措施包括尽量划分出较多的子结构以及选取更多的子结构主模态参与综合。
Firstly, the basic principle of the dual-coordination free interface modal synthesis method is introduced. Then the method is used to solve the inherent characteristics of a truss bridge structure. It is found that the application of the dual-coordination free interface modal synthesis method has high calculation accuracy. The sub-structures are divided into three different forms. By comparing the calculation results of the natural frequencies of the whole structure, several sub-structured principles are proposed, and the influence of the sub-structure main mode truncation order on the calculation accuracy of the modal synthesis method is studied. The conclusion is that the higher the frequency of the higher-order principal modes of the sub-structure is, the higher the calculation accuracy is, and the theory of frequency cut-off criterion is used to explain. Measures to improve the accuracy of the free interface modal synthesis method include dividing as many substructures as possible and selecting more substructure main modes to participate in synthesis.