中文摘要：

说明了导出梁结构随机能量流分析（REFA）方程的基本原理,讨论了REFA与统计能量分析的理论关系,并指出REFA反映的弯曲波场功率流特性与统计能量分析中的耦合振子间的功率流特性是相似的.将REFA应用于一个由三根梁组成的三维框架结构,计算随机集中力作用于同一波场上不同位置时的结构响应.结果表明,随机力的作用位置会显著影响到该结构的总体能量响应及功率传递,但对直接受载波场总能量响应的影响很小.用统计能量分析法对该结构进行了动力分析,结果表明,只对直接受载的波场,两种方法计算的总能量吻合很好.

英文摘要：

The formulations of random energy flow analysis（REFA） for beam structures were derived,which applies to the loading situation of random excitation.The theoretical relationship between REFA and statistical energy analysis（SEA） was investigated for beam structures,and it is found that the energy flow characteristic reflected by REFA for bending wave field is similar to that exhibited by two coupling oscillators in conventional SEA.REFA was applied to a 3-D frame structure consisting of 3 identical beams,where the effects of concentrated random force being exerted at different positions on the same wave component were mainly investigated.The results show that the driving position of the force can significantly affect the global energy response and power flow in the structure,while has little effect on the total energies of wave fields directly subjected to excitations.SEA was utilized to perform vibration analysis for the structure as well.The solutions from SEA and REFA indicate that,only for the subsystems directly excited,total energy responses evaluated by the two methods are in good agreement.