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基于单频激励下导出的板的能量流分析方程,将其应用推广到板受随机激励的情形,提出了宽带随机激励下板的响应能量及功率流的计算公式。对考虑弯曲和纵波场耦合的板结构给出了计算能量有限元耦合矩阵的一般方法。用能量有限元法对受到两个不相关宽带白噪声激励力作用的L型板的能量响应和功率流进行了计算,结果反映了各波场的能量在空间上的分布和它们在各波场内的流动特性,其中弯曲波场的功率流显示出相向功率流发生汇集和改变流向的特点。对该耦合结构的响应用统计能量分析法进行了求解,其结果与能量有限元法计算结果间较好的一致性验证了随机激励下板的能量有限元分析应用的正确性。
Based on the energy flow analysis equation of the plate derived from single-frequency excitation, this paper extends the application of the plate to the random excitation of the plate and proposes the calculation formula of the response energy and power flow of the plate under the random excitation of the broadband. A general method for calculating the energy finite element coupling matrix is given for plate structures that consider the coupling of bending and longitudinal wave fields. The energy response and power flow of the L-shaped plate subjected to the two unrelated broadband white noise excitation forces are calculated using the energy finite element method. The results show that the spatial distribution of the energy in the wave fields and their spatial distribution in the wave fields The flow characteristics in the bending wave field show the characteristics of the converging power flow and the change of the flow direction. The response of the coupled structure was solved by statistical energy analysis. The better agreement between the results and the energy finite element method verified the correctness of the application of the energy finite element analysis under random excitation.