中文摘要：

应用遗传算法与梯度算法相结合的混合优化算法,在结构质量及整体刚度约束下,分两个频段对波纹芯体夹层板在中置点声源激励下平均透射声功率进行单参数和多参数优化分析,其中优化目标函数,即夹层板透射声功率用谱元法和Rayleigh积分进行建模计算。优化结果表明,单参数和多参数优化都能明显改善波纹芯体夹层板在高频段（701 Hz~1 500 Hz）的隔声性能,但两种方法在低频段（1 Hz~700 Hz）效果均不显著,证明单纯针对结构参数优化能够有效地抑制由局部模态引起的透射声峰值,但是对结构整体模态引起的透射声峰值影响有限。进一步对比表明,对具有多个结构参数的波纹芯体夹层板,其隔声性能多参数联合优化结果明显优于单参数优化结果。

英文摘要：

A hybrid optimization combining genetic algorithm with gradient-based algorithm is applied to minimize theaverage radiation sound power of a corrugated- core sandwich plate under point sound source excitation in two specificfrequency bands with its structural mass and stiffness constrained. With the sound transmission power of the sandwich plateas the target function of optimization, the spectral element method and Rayleigh’s integral are applied to the modelestablishment and analysis. The results show that the optimization results of both single- variable and multi- variableoptimizations can significantly improve the isolation performance of the corrugated core sandwich plate in the highfrequency band （701 Hz-1500 Hz）. But both optimization methods are less effective in low frequency band （1 Hz-700 Hz）. Itimplies that the corrugated core parameters optimization can effectively suppress the sound radiation peaks caused by localmodes, but has very little suppression effect on the peaks caused by global modes. Further comparison of the results obtainedthrough single-variable optimization and multi-variable optimization shows that for the structure of corrugated core sandwichplate with multiple parameters, the multi-variable optimization is much better than the single-variable optimization in soundinsulatingperformance.