相关激励形式下保守和非保守耦合振子的能量分布与功率流  

Power flow between and energy distribution in conservatively and non-conservatively coupled oscillators under correlative excitations

作　　者：张建[1] 顾崇衔[1] 

机构地区：[1]西安交通大学机械工程研究所,西安,710049

出　　处：《声学学报》1993年第3期186-195,共10页Acta Acustica

基　　金：国家自然科学基金资助项目

摘　　要：作为相关输入形式下保守或非保守耦合系统统计能量分析的基础,本文主要研究耦合振子在比例相关输入条件下的能量分布与功率流.在推导了相关输入条件下耦合振子间的功率流与振子能量的基本关系式和功率平衡方程式及振子能量比的表达式之后,本文分别详细讨论了保守耦合振子和非保守耦合振子系统的能量分布和功率流问题,并与互不相关输入时耦合振子的能量分布与功率流的特点进行了比较,对于各种耦合阻尼情况下的振子能量分布与功率流也进行了数值计算,研究结果表明,相关输入下耦合振子的能量分布与功率流的特征与互不相关输入时的特征有着显著的差别.As a fundation of SEA for conservatively or non-conservatively coupled systems under correlative excitations, power flows between and energy distribution in two coupled oscillators under proportionally correlative excitations are studied mainly in this paper. Theoretical relationships among power flows and time averaged vibrational energy of the oscillators, as well as power balance equations and energy ratio of them, are derived. Further along, power flows, energy distribution, and power balance equations of the system in conservative or non-conservative coupling and under proportionally correlative excitations are discussed in details with comparison to characteristics of those in non-correlative excitations. Numerical results supporting the basic theory are given too. Results show that the power flows and energy distribution of the oscillators under correlative excitations, either conservative or non-conservative coupling, are much different with those in the condition of non-correlative excitations.

关 键 词：振子 能量分布 功率流 耦合 噪声 

分 类 号：TB532[理学—物理]