嵌入阻尼膜复合材料固支加筋板的振动分析

Vibration analysis of fixed-supported stiffened composite plate with embedded damping film

为研究嵌入阻尼膜复合材料加筋板的自由振动特性,应用铁木辛柯梁理论推导出加强筋的应变能和动能,通过能量法建立了加筋板的自由振动理论模型,将满足四边固支边界条件的结构位移函数由伽辽金加权余值思想转换成双级数形式,建立了嵌入阻尼膜复合材料四边固支加筋板结构的振动微分方程,求解结构的自由振动频率和损耗因子。构建有限元模型、制作阻尼膜复合材料加筋板试件并搭建实验平台,通过理论解、数值模拟解以及模态实验解三者对比,证明了理论模型的有效性,同时,进一步研究了加强筋的高度与加强筋之间的距离对嵌入阻尼膜复合材料加筋板振动特性的影响,为大阻尼、高刚度的嵌入阻尼膜复合材料固支加筋板的优化设计提供理论依据。

To study the free vibration characteristics of composite stiffened plate with embedded damping membrane, the theory of Timoshenko Beam reinforcement strain energy and kinetic energy is deduced. Utillzing the energy method to establish the free vibration theory model of stiffened plate, it will meet four edges clamped boundary conditions of structure displacement function by Galerkin method weighted residual value ideas into double series form. The vibration differential equation of the reinforced plate structure with embedded damping film was established and the free vibration frequency and loss factor of the structure were solved. The finite element model was constructed, specimens of stiffened plate made of damped film composite material were made and the experimental platform was built. The effectiveness of the theoretical model was proved by comparing the theoretical solution, numerical simulation solution and modal experiment. At the same time, the influence of the height of stiffeners and the distance between the stiffeners on the vibration characteristics of the stiffened plate is further studied, which provides a theoretical basis for the optimal design of stiffened plate of embedded damping film composite with large damping and high stiffness.