矩形板受分布荷载作用下的解析解  

Analytical solution of rectangular plate under distributed loads

作　　者：李壮飞 寇子琦 刘海[2] 侯钢领 王滨生[1] LI Zhuangfei;KOU Ziqi;LIU Hai;HOU Gangling;WANG Binsheng(College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin 150001, China;The Second Branch of the 404 Company Limited,China National Nuclear Corporation, Lanzhou 732850, China)

机构地区：[1]哈尔滨工程大学土木工程系,哈尔滨150001 [2]中核四〇四有限公司第二分公司,兰州732850

出　　处：《青岛理工大学学报》2021年第3期28-35,62,共9页Journal of Qingdao University of Technology

基　　金：国家科技重大专项(2018ZX06005002-001-002);中核集团集中研发项目。

摘　　要：提出一种方法给出复杂荷载工况下板的解析解.依据Kirchhoff薄板理论,采用双向三角级数作为挠度函数,根据矩形板的实际边界条件,建立满足挠曲面方程的线性方程组,给出挠度函数方程和数值计算.以三边固支一边自由矩形薄板侧面沿直线分布线荷载为例,给出了该结构的挠度和内力值.与有限元进行比较,验证了该方法的正确性,并表明了该方法具有收敛速度快,计算精度高等优点.研究结果对核安全壳的实际工程应用具有一定的参考意义.A method is provided to solve the rectangular plate under complex loads.According to Kirchhoff thin-plated theory,the deflection function of two-direction trigonometric series is adopted.According to the real boundary conditions of the rectangular plate,linear equations which satisfies the tranverse displacement equation is established,and the deflection function equation and numerical calculation are presented.Taking the rectangular plate with three-side clamped edges and one-side free edge as an example,the bending response of the structure is presented.Comparison of analytical solution with finite element method indicates that the analytical solution has obtained converge rapidly with high accuracy.The research results in this paper have certain reference significance for practical engineering application of nuclear containment.

关 键 词：核安全壳 矩形薄板 解析方法 数值解 

分 类 号：TU33+8[建筑科学—结构工程]