基于模态参数的模型缩减及结构动力学分析

Method of Model Reduction Based on Modal Parameters for Structural Dynamics Analysis

以一悬臂梁为例,在单点激励-单点响应(SISO)的情形下,演示了模态参数模型缩减方法的过程.对于缩减后模型,分别在频率和时域进行动力学分析,所得到的结果与有限元模型的计算结果进行了比较,证明了模态参数模型的正确性.虽然是以悬臂梁为模型进行分析,但是,模态参数模型缩减的方法同样也适用于其他复杂的有限元模型.

With a cantilever for an example, in the case of the single-point excitation - single-point re- sponse（SISO）, the paper demonstrat the process of the modal parameter model reduction methods then the reduced model was applied to perform dynamic analysis in frequency and time domain, re- spectively. The results obtained from the reduced model were compared with that of the finite element model toverify the modal parameters reduced model is correct. Although this article is the cantilever as a model for analysis, however, the modal parameters model reduction method is also applicable to other complex finite element model.