均布荷载下四边简支蜂窝式空心板的解析解  

ANALYTICAL SOLUTION OF CELLULAR HOLLOW PLATES SIMPLY SUPPORTED SUBJECTED TO UNIFORMLY DISTRIBUTED LOADS

作　　者：程远兵[1] 程文瀼[2] 党纪[3] 

机构地区：[1]华北水利水电学院土木与交通学院,河南郑州450011 [2]东南大学土木工程学院,江苏南京210096 [3]爱知工业大学,日本丰田4700392

出　　处：《工程力学》2009年第8期34-38,87,共6页Engineering Mechanics

基　　金：河南省科技攻关计划项目(991150204);华北水利水电学院高层次人才科研项目(000959)

摘　　要：根据弹性薄板小挠度理论,结合蜂窝式空心板的受力与构造特点,推导了四边简支的蜂窝式空心板在竖向均布荷载作用下的平衡微分方程,提出了其弯曲刚度和扭曲刚度的计算公式。采用二阶正弦级数形式的挠度表达式,求出了板挠度和弯矩的解析解。进行了数组算例的有限元验证分析,理论分析结果和有限元的算例对比表明提出的理论方法可以准确地计算蜂窝式空心板的内力和变形。Based on the small deformation theory of elastic thin plates, considering of the peculiar mechanical and geometrical properties of the simply supported cellular hollow plates under uniformly distributed loads, the differential equilibrium equations were derived. Calculation formulae for the flexural and torsional stiffness were presented. Using the 2nd order trigonometric series expression of deflection, the analytical solutions for the deflection and bending moment of the cellular hollow plates simply supported at four edges were given. Finite element elastic analysis using ANSYS performed was compared to the analytical solutions. The results show that the method can exactly calculate the defection and bending moment of cellular hollow plates simply supported at four edges subjected to uniformly distributed loads.

关 键 词：现浇混凝土 蜂窝式空心板 弹性薄板 简支 解析解 有限元法 

分 类 号：TU313.1[建筑科学—结构工程] TU375.2