均布载荷下四边固支矩形薄板的挠度  

Deflection of rectangular thin plates fixed on four sides under uniform load

作　　者：马仁香 MA Renxiang(College of Civil Engineering,Shandong Jianzhu University,Jinan 250101,China)

机构地区：[1]山东建筑大学土木工程学院,济南250101

出　　处：《计算机辅助工程》2021年第4期22-25,31,共5页Computer Aided Engineering

摘　　要：为求解四边固支矩形薄板在均布载荷作用下的挠度表达式,以利维解为基础利用叠加法将复杂问题分解为多个简单问题,然后进行叠加,获得四边固支矩形薄板在均布载荷作用下的挠度表达式。利用有限元模拟验证表达式的正确性,发现有限元结果与公式结果吻合较好。In order to solve the deflection expression of quadrilateral fixed rectangular plate under uniform distributed load,based on levy solution,complex problems are decomposed into several simple ones by superposition method,by superposition,the deflection expression of the rectangular plate with four sides fixedly supported under uniform load is obtained.The finite element simulation is used to verify the correctness of the expression.

关 键 词：叠加法 均布荷载 矩形薄板 四边固支 挠度 有限元 

分 类 号：TU392[建筑科学—结构工程] TB115.1[理学—数学]