双向正交加筋板声振响应解析方法研究

摘要

The analytical method for sound and vibration analysis of bi-directionally orthogonal stiffened plates is proposed. By using displacement and force continuity conditions between plates and stiffeners, vibration equations of the stiffened plate system are established. With the displacement function expressed as a two-dimensional Fourier series, one can convert the differential equations of the stiffened plates into linear algebraic equations. Thus, the solutions of free vibration and forced vibration of the stiffened plates can be obtained. Results of the present method demonstrate a good agreement with published results and the results of typical finite element analysis. Subsequently, the effect of stiffeners position on vibro-acoustic response of multi-stiffened plates is studied.%提出双向正交加筋板声振响应的一种解析计算方法.使用两种连续性条件,建立双向正交加筋板的耦合振动方程.利用二维傅里叶级数作为双向正交加筋板振动位移表达式,将双向正交加筋板振动微分方程化为线性方程组,求解获得双向正交加筋板的模态特性以及加筋板稳态声振响应,并通过了现有文献数据和有限元方法的验证.通过进一步的参数分析,研究加强筋在板上的排布方式对加筋板声振特性的影响.