圆薄膜在均布荷载下大挠度变形的精确解  

Exact Theoretical Solution for Large-Deformation of Circle Membrane under Uniformly Distributed Loads

作　　者：郭建军[1] 黄薇[1] 

机构地区：[1]重庆水利电力职业技术学院建筑工程系,重庆402160

出　　处：《重庆科技学院学报（自然科学版）》2017年第4期108-111,124,共5页Journal of Chongqing University of Science and Technology：Natural Sciences Edition

基　　金：重庆市教委科学技术研究项目"平面建筑膜结构在积水和积雪荷载作用下的大挠度变形研究"(KJ1603602);重庆水利电力职业技术学院校级科研项目"建筑薄膜结构在横向荷载作用下的大挠度变形研究"(K201509)

摘　　要：研究固定边界条件下的圆薄膜在横向均匀分布荷载作用下的大挠度变形。根据大挠度理论,建立了固定边界条件下圆薄膜在横向受到满布均布荷载作用下大挠度变形的控制方程组,利用无量纲参数法对其进行简化,结合合适的边界条件求出其精确解析解。通过算例分析,与已有幂级数解比较,结果验证了精确解的正确性。This paper studies the large deformation of circle membrane with the fixed boundary condition,under the lateral uniformly distributed loads.Based on the deflection theory of membrane,basic governing equations of large-deflection for circular isotropic membrane under uniformly distributed loads,are derived.And the appropriate dimensionless variables are selected to simplify the basic governing equation.With a set of proper boundary conditions,the exact theoretical analytical solution for large-deflection of circular membranes is obtained.Based on the numerical analysis,compared with the existing power series solution,the correctness of the exact solution proposed in this paper is verified.

关 键 词：圆薄膜 大挠度 均匀分布荷载 精确理论解析解 

分 类 号：TB115[理学—数学]