集中载荷作用下层合厚圆板的轴对称弯曲  

Axisymmetric Bending for Thick Laminated Circular Plate Under a Concentrated Load

作　　者：盛宏玉[1] 范家让[1] 

机构地区：[1]合肥工业大学建筑工程系,合肥230009

出　　处：《应用数学和力学》2000年第1期87-93,共7页Applied Mathematics and Mechanics

摘　　要：从三维弹性力学基本方程出发，建立了横观各向同性层合圆板轴对称弯曲问题的状态方程，并将板面的集中载荷展成付里叶贝塞尔级数，从而给出问题的解析解·　此解满足弹性力学全部方程，计及了所有独立的弹性常数，并满足层间连续性条件·Based upon the fundamental equations of three dimensional elasticity, the state equation for axisymmetric bending of laminated transversely isotropic circular plate is established and the concentrated force on plate surface is expanded into Fourier_Bessel's series, therefore, an analytical solution for the problem is presented. Every fundamental equation of three dimensional elasticity can be exactly satisfied by the solution and all the independent elastic constants can be taken into account fully, furthermore, the continuity conditions between plies can also be satisfied.

关 键 词：层合圆板 状态方程 集中载荷 轴对称弯曲 

分 类 号：O343.1[理学—固体力学]