On the basis of the classical plate theory,a laminated damping plate model was built.Regarding the plate inlaid in an infinite rigid baffle,its acoustical power and sensitivity expressions were obtained using Rayleigh integral.A topology optimization model for placement of constraint damping material was established with the objective function defined as the minimum of acoustical power under the exciting force with the first order modal frequency or the corresponding frequency band and the constraint condition defined as the volume fraction of damping material.With the evolutionary structural optimization (ESO)method,the topology optimization of damping plate was conducted and the optimal placement of the damping material under the volume requirement was provided.Compared with acoustic radiations of plates without constraint damping material and with full constraint damping material,it was concluded that the optimization method adopted can achieve an effective control on the acoustic radiation of the plate with less damping material usage,and provides a crucial theoretical reference and technical means for the low noise design of plates.%根据经典薄板理论，建立约束阻尼板有限元模型，将其视作镶嵌于无限大刚性障板，利用Rayleigh积分法推导结构的辐射声功率及灵敏度表达式。以一阶峰值频率或频带激励下的声功率最小化为目标，约束阻尼材料体积分数为约束条件，建立拓扑优化模型，采用渐进优化算法，编制了优化计算程序，获得了约束阻尼材料的最优拓扑构型，并与全覆盖板及基板的辐射声功率进行了对比。研究表明：以声功率最小化为目标，对约束阻尼材料布局进行拓扑优化，能有效抑制结构的振动声辐射，为结构低噪声设计提供了重要的理论参考和技术手段。
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