复杂耦合系统SEA求解方法研究*

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振动与冲击 ›› 2010, Vol. 29 ›› Issue (7) : 159-161.

论文

复杂耦合系统SEA求解方法研究*

雷烨 ;盛美萍

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Study on solving method in SEA for complicated coupled system

LEI Ye; SHENG Mei-ping

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摘要

从实际工程出发，提出了如何有效利用统计能量分析方法（简称SEA），求解声与振动响应的方法。首先，针对实际工程中输入功率不易准确获得的问题，提出了一种缩减的功率流平衡方程，利用易于测量的能量作为已知量，分析得到其他子系统的响应。其次，由于大型结构的复杂性和试验测试误差存在的必然性，功率流平衡方程求解存在奇异值的可能性很大，因此，分析了如何消除损耗因子系数矩阵奇异性问题。最后，针对试验测试数据存在富余的情况，提出了如何有效利用大量试验数据，使得预报结果误差最小的方法。为验证所提方法的有效性，以双层圆柱壳结构为试验对象，将分析结果与测量值进行比较，结果证明了方法的可靠性和优越性。

Abstract

The aim of this thesis is how to solve the sound and vibration responses of complicated coupled system effectively by using SEA method. Firstly, based on the issue of testing the input power inaccurately, useful statistics energy balance equations were built. Afterwards, considering the statistics energy balance equations’ dimension of actual large-scale multiple structure is too big and errors must be existed in the experimental data, an effective method was studied. It used for avoiding the singularity matrix, which would be occurred in large probability. Additionally, an effective method used in how to utilize the rich experimental data and improve the prediction precision was investigated. Finally, noise and vibration forecast of a complicated coupled structure was carried out, and the result was compared with the experimental data. It is validated that the methods mentioned in this thesis are reliable and valuable.