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低频时,控制振动结构第一阶声辐射模态伴随系数可有效控制总声功率。通过分层有限元模型可以求解层合板的位移模式。对层合板的固有频率和动态响应进行了理论推导。结合声辐射模态理论,研究了层合板铺设角度、弹性模量比、跨厚比以及阻尼比等结构参数对层合板结构第一阶声辐射模态伴随系数的影响。计算结果表明,分层理论结合有限元方法可以较准确地计算层合板固有频率,而且铺设角度和跨厚比对层合板结构声辐射模态影响较大。

Controlling the adjoint coefficient of the first order acoustic radiation mode of vibrating structure can reduce efficiently the total sound power at low frequency.The displacement of laminated composite plates can be obtained by using layerwise finite element models.A preliminary study was conducted for the natural frequency and dynamic response of the laminated composite plates.Based on the acoustic radiation mode,the effects of panel orientation angle,elastic modulus ratio,width-depth ratio and damping ratio on the adjoint coefficient of the first order acoustic radiation mode of the laminated composite plates were discussed.The results show that the natural frequency of laminated composite plates can be analyzed accurately by using the layerwise finite element models.The effects of panel orientation angle and width-depth ratio on the adjoint coefficient of the acoustic radiation mode of the laminated composite plates are significant.

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