| 摘要: |
| 分别采用基于Reddy简化高阶剪切理论、一阶剪切理论和经典理论的对称角铺设矩形板横向弯曲一般解析解，计算分析四边固支对称角铺设层合方板在均布载荷下弯曲问题，讨论了横向剪切、铺设层数、铺设角、板厚对层合板内力矩和挠度的影响，概略分析了不同理论适用范围。引入了横向剪切效应参数，以反映横向剪切影响程度。文中给出数值算例,计算表明横向剪切效应与弯扭耦合效应存在交联。 |
| 关键词: 方板 横向弯曲 固支边界 解析解 剪切理论 对称角铺设 |
| DOI： |
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| 基金项目: |
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| Investigation on Bending Problem of Symmetrical Angle Ply Laminated Square Plate Using Analytical Solutions Based on Different Shear Deformation Theories and Classical Laminated Plate Theory |
| ZHANG Chengzong |
| (A Air Force Military Representative Bureau) |
| Abstract: |
| The general analytical solutions for the bending problem of symmetrical angle ply laminated rectangular plate based on Reddy simplified high order shear deformation theory，the first-order shear deformation theory and classical laminated plate theory are used to compute the bending of a clamped laminated square plate under uniform transverse load. The influences of shear deformation, number of ply layers, thickness and ply angle on bending moments, twisting moments and deflections in the center of this laminated plate are studied by computation .Scope of application of the two kinds of shear deformation theories and classical laminated plate theory on the clamped laminated square plate is analyzed roughly. The coefficient of transverse deformation is suggested to describe the degree of shear deformation for plate structure. The computation shows that shear deformation effect is pertinent to bending-twisting coupling. Some numerical results are also presented. |
| Key words: Square plate Transverse bending Clamped boundary condition Analytical solution Shear deformation theory Symmetrical angle ply |