单层板夹杂粘弹性阻尼材料的应变能分析-Part Ⅰ:基础理论和面内应变能

Analysis of strain energy of unidirectional composites with interleaved viscoelastic damping layers-part Ⅰ:fundamental theory and in-plane strain energy

本文利用层合板的本构关系及Kirchhoff经典板理论,分析正交各向异性单层板夹杂粘弹性阻尼材料的应力应变同中面横向挠度的关系,夹杂的粘弹性阻尼材料作为各向同性材料处理。横向切应力根据平衡方程推导得出,并满足应力边界条件和连续条件。既考虑了面内应变能又考虑了横向切应力应变能。用Ritz法研究各应力分量的应变能。本文介绍基础理论及推导面内应变能。

Constitutive relations of laminated composite plates and classic Kirchhoff plate theory are used to deal with the relationship between stress - strain and transverse deflection of unidirectional composites with interleaved viscoelastic damping layers. The interleaved viscoelastic layers are treated as isotropic materials. The transverse shear strains are obtained according to equilibrium equations. Their boundary conditions and continuity conditions are satisfied. Strain energy stored in in - plane as well as in transverse shear is considered. The Ritz method is employed to research the strain energy of individual stress components. The fundamental theory is introduced and the in -plane strain energy is discussed.