分析了复合材料夹杂黏弹性阻尼材料组成的对称层合板的线性弯曲,其中夹杂的黏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形板为例,计算并分析了复合材料层和黏弹性层的应变能以及复合结构的损耗因子。结果表明,复合材料层的面内应变能占主要地位,而黏弹性层中xz方向和yz方向的切应力应变能占主要地位。黏弹性层与复合材料层的弹性模量之间的差异对复合结构的损耗因子有重要影响。
The linear bending of symmetric laminates was analysed, which are composed of unidirectional materials and interleaved viscoelastic damping layer. The viscoelastic layer was treated as isotropic materials. The strain energy stored in in-plane as well as in transverse shear was considered. The Ritz method was employed to research the strain energy of individual stress components. As an example, for a square plate with the boundary condition of four edges clamped, the individual stress components and their strain energy of the unidirectional materials and the viscoelastic layers as well as the loss factor of the composite structures were discussed. The results show that the total energy is mainly composed of the in-plane strain energy in the composites and the shear strain energy in xz and yz directions in the viscoelastic damping layer. The disparity in Young's modulus between the viscoelastic damping layer and the unidirectional materials momentously impact the loss factor of the composite structures.