计算力学学报2019，Vol.36Issue(1)：103-109,7.DOI:10.7511/jslx20171010001
薄板弯曲分析的节点积分高阶无网格法
High order meshfree method with nodal integration for thin plate bending analysis
摘要
Abstract
In this paper, high order meshfree method is employed to solve thin plate bending problems.Based on the developed linear curvature smoothing scheme, a nodal integration method is established by introducing the Taylor's expansion technique.The proposed nodal integration method is able to exactly reproduce the pure bending and linear bending modes.In contrast, the existing nodal integration method which dominates meshfree analysis of thin plate bending problems is only able to reproduce the pure bending mode.Numerical results show that the proposed method is able to exactly pass the pure bending and linear bending tests and obtain smooth, oscillation-free distribution of bending moments.In comparison with the standard Gauss integration method and the existing nodal integration method, the presented method shows remarkable advantages in computational accuracy, efficiency and bending moment distributions.关键词
薄板弯曲/无网格/曲率光顺/节点积分/高阶近似Key words
thin plate bending/meshfree/curvature smoothing/nodal integration/high order approximation分类
数理科学引用本文复制引用
王冰冰,段庆林,李书卉,杨迪雄..薄板弯曲分析的节点积分高阶无网格法[J].计算力学学报,2019,36(1):103-109,7.基金项目
地质灾害防治与地质环境保护国家重点实验室开放基金 (SKLGP2016K007) （SKLGP2016K007）
科学挑战专题 (TZ2018002) （TZ2018002）
中央高校基本科研业务费专项资金 (DUT17LK18 （）
DUT18LK04) （）
水资源与水电工程科学国家重点实验室开放基金 (2015SGG03) 资助项目. （2015SGG03）
