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缩减的统计能量方程及其特性研究
引用本文:伍先俊,朱石坚,曹建华. 缩减的统计能量方程及其特性研究[J]. 振动与冲击, 2007, 26(5): 11-13
作者姓名:伍先俊  朱石坚  曹建华
作者单位:1. 武汉理工大学,机电学院,武汉,430070
2. 海军工程大学,武汉,430033
摘    要:统计能量分析的物理子系统往往包含多个振型群(即统计能量子系统),某些统计能量子系统不容易测量。提出一种缩减的统计能量分析方程,通过去掉不受激励的子系统,使余下子系统的能量方程依然符合标准形式。即若原始方程满足互易性原理,缩减后的方程也满足该特性;缩减过程无近似,计算精度很高,并通过计算实例验证了方法的有效性。这种不易测量子系统通常不受直接激励,应用该方法可以建立并求解含这类子系统的统计能量方程。

关 键 词:统计能量分析  振动  方程  耦合损耗因子  内损耗因子
修稿时间:2006-05-18

Study on A Reduced Statistical Energy Equation and Its Property
Wu Xianjun,Zhu Shijian,Cao Jianhua. Study on A Reduced Statistical Energy Equation and Its Property[J]. Journal of Vibration and Shock, 2007, 26(5): 11-13
Authors:Wu Xianjun  Zhu Shijian  Cao Jianhua
Abstract:A physical system often contains several statistical energy subsystems,some of them are difficult to measure.Here,a reduced statistical energy analysis equation is proposed with un-excited subsystems ignored.Its property is studied and it is shown that if the original equation satisfies the reciprocal principle,the same does the reduced one.As the reduction is with no approximation,the new method has a higher calculating precision.Numerical examples show that the proposed method is effective and applicable for statistical energy analysis.
Keywords:statistical energy analysis  vibration  equation
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