为了减小薄板结构振动辐射的噪声，在重量约束下进行了声功率最小化研究。利用有限元振动模型来处理结构振动环节，利用声辐射模态模型来处理声辐射环节，用可行方向法进行了优化设计研究。以一矩形粘弹性阻尼板为例，得到了阻尼重量约束下板的声功率最小化模型，结果表明在满足重量约束条件下能够达到明显的降噪效果。

The sound power minimization design with weight restrict is studied for reducing noise from vibration of a thin plate. By use of finite element vibration model to deal with vibration of the structure and acoustic radiation modal model to deal with radiation, the optimization design is investigated by the feasible direction method. The sound power minimization model with damping weight restrict is established for a rectangle viscoelastic damping plate. Results show that the optimal design with weight restrict has remarkable efficiency on reducing noise.