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传统的统计能量分析(SEA)理论不能解决非保守耦合系统的能量分析问题。本文在非保守耦合振子的能量分布与功率流特征的研究基础上,推导了互不相关随机激励条件下非保守耦合系统的功率平衡方程式及各有关功率项的计算式,建立了非保守耦合系统的统计能量分析理论。研究结果表明,保守耦合仅是非保守耦合的一个特例,耦合阻尼对非保守耦合系统的能量分布和功率流的特征有着显著的影响,只有在耦合阻尼远小于系统内阻尼时这种影响才可近似忽略。作为理论的一个应用实例,本文对非保守耦合板的能量问题进行了理论和实验研究。
The traditional theory of statistical energy analysis (SEA) can not solve the energy analysis of non-conservatively coupled systems. Based on the study of the energy distribution and power flow characteristics of non-conservative coupled oscillator, the power balance equations of non-conservatively coupled systems with unrelated random excitation and the formulas of power terms are deduced. The non-conservative coupling system Statistical energy analysis theory. The results show that the conservative coupling is only a special case of non-conservative coupling. Coupling damping has a significant influence on the energy distribution and power flow characteristics of the non-conservative coupled system, which can be approximated only when the coupling damping is much smaller than the system damping ignore. As an application example of the theory, the theoretical and experimental studies on the energy of non-conservatively coupled plates are carried out.