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分析了复合材料夹杂双层粘弹性阻尼材料组成的对称夹层板的线性弯曲,其中夹杂的粘弹性阻尼材料作为各向同性材料处理。既考虑面内应变能又考虑横向切应力应变能,用Ritz法研究各应力分量的应变能。以四边夹紧为边界条件的方板为例,计算并分析了复合材料层和粘弹性层的应变能以及复合结构的损耗因子。结果表明:复合材料层中的面内应变能占主要地位;粘弹性层中的xz方向和yz方向的切应力应变能较大;芯层的应变能很小。
The linear bending of a symmetric sandwich plate consisting of a composite material with a double-layer viscoelastic damping material is analyzed, in which the inclusion of a viscoelastic damping material is treated as an isotropic material. Considering both in-plane strain and transverse shear stress, Ritz method is used to study the strain energy of each stress component. Taking square plates with four edges clamped as boundary conditions, the strain energy of the composite layer and the viscoelastic layer and the loss factor of the composite structure are calculated and analyzed. The results show that the in-plane strain energy in the composite material layer is dominant. The shear stress in the xz direction and the yz direction in the viscoelastic layer is large, and the strain energy in the core layer is small.