耦合阻尼对非保守耦合振子能量分布与功率流的影响

作为非保守耦合系统统计能量分析的基础,本文研究了耦合阻尼对非保守耦合系统能量分布与功率流的影响.在给出各项有关的损耗因子和耦合损耗因子的定义后,本文从理论上推导了非保守耦合振子间各项功率流与振子平均振动能量之间关系的理论表达式,以及功率平衡方程式和振子能量比的表达式.理论分析和数值计算的结果表明,非保守耦合振子之间的原始功率流和附加功率流以及总功率流不仅取决于两振子的平均振动能量之差,而且取决于振子的平均振动能量之和,总功率流的方向即与两振子能量相对大小有关,也与耦合性质有关;小耦合阻尼是非保守耦合的特例,由此特例不足以得到非保守耦合情况的一般特点。

Effect of Coupling Damping on Power Flow and Energy Distribution between Non-Conservatively Coupled Oscillators

As a foundation of Statistical Energy Analysis of Non-Conservatively Coupled Systems, effects of coupling damping on power flows and energy distribution between non-conservatively coupled oscillators under incorrelate excitations are studied mainly in this paper. After defining each concerned loss or coupling loss factors, theoretical relationships among power flows and time averaged vibration energy of the oscillators, as well as power balance equations and energy ratio of the oscillators, are derived. Results from theoretical analysis and numerical calculations show that both of initial and added power flows between two non-conservatively coupled oscillators under incorrelate excitaions depend not only on the energy difference of the two oscillators, but also on the energy summation, the direction of total power flow is determined by both of relative value of the oscillators' energy and coupling features, and less coupling problem is only a special case of non-conservative coupling one and has hardly much meaning in study of non-conservatively coupled oscillators or multi-modes systems.