基于系统响应的模态截断方法的研究

A Solution for Modal Reduction Criterion Based on the System Response

该文以欧拉 -伯努利梁为模型 ,推导出基于系统响应梁的模态截断准则 ,根据模态价值大小取舍模态 ,其结论可推广到大型复杂结构系统。该法考虑了可观性向量、模态增益、结构阻尼系数及模态频率 ,较简单的频率截断法是一个很大的改进 ,降阶后的模型能很好地近似原系统性能。文末给出了一个简支梁模态截断的例子。

In this paper, modal reduction criterion is derived based on the system response taking as the model of Euler Bernoulli beam, editing modal according to the value of modal costs. The conclusion can be used in a large flexible complex structure system. It is a more preferable to simpler frequency criterion, since it takes into account of frequency, vibration mode, damping, sensor and actuator information. Reduced order model can approximate well the basic characteristics of the original system. An example of editing modal for simply supported beam is illustrated in the end of the paper.