相关输入时保守或非保守耦合系统的统计能量分析

传统的统计能量分析(SEA)理论不能解决保守或非保守耦合系统在相关输入时的能量分析问题。本文在相关输入形式下非保守耦合振子能量分布与功率流的研究基础上,讨论了相关输入时保守或非保守耦合系统的能量分布与功率流,推导了功率平衡方程式及各有关功率项的计算式,建立了相关输入时耦合系统的统计能量分析原理。研究结果表明,输入形式对耦合系统的能量分布和功率流的总体特征有着显著的影响。作为理论的一个应用实例,本文还对受相关激励的保守或非保守耦合板的能量问题进行了理论和实验研究。

Principle of Statistical Energy Analysis for Conservatively Or Non-Conservatively Coupled Systems under Correlative Excitations

Traditional statistical energy analysis theory could hardly deal with energyproblems concerned with conservatively or non-conservatively coupled systemsunder correlative excitations. In this paper, based on the theory of power flowand energy distribution between non-conservatively coupled oscillators undercorrelative excitations, equations of power balance and those for each concernedpower flows and other items calculations are derived to develop SEA theory fornon-conservatively coupled systems under correlative excitations. Results showthat types of excitations have much effects on general characteristics of energydistribution and power flow. As an application of the theory, energy problemsof conservatively or non-conservatively coupled plates under correlative excitat-ions are studied theoretically and experimentally.