计算力学学报2019，Vol.36Issue(1)：110-116,7.DOI:10.7511/jslx20170915002
基于无网格法的弹性地基加肋斜板频率数值解
Numerical solution of frequencies of stiffened skew plate on elastic foundation via meshfree method
摘要
Abstract
Meshfree method was used to calculate the free vibration behaviors of a ribbed skew plate on a foundation for its efficiency and for providing design information in practical foundation engineering.The displacement field of the skew plate was described by the moving-least square approximation and the first-order shear deformation theory, and then the potential energy functional was established.The contact potential energy between the ribbed plate and the foundation was simulated by Winkler elastic foundation model.The nodal parameter transformation equation was established according to the displacement compatibility condition between the plate and the ribs, and the governing equation for free vibration of the stiffened skew plate on the elastic foundation was derived.A position change of ribs would not require resetting the mesh because of the advantage of the proposed method, and the cost of calculation was reduced.The proposed method was verified by comparing its results with those from the finite element method.关键词
Winkler弹性地基/移动最小二乘近似/无网格法/自由振动/加肋斜板Key words
Winkler elastic foundation/MLS/meshfree method/free vibration/stiffened skew plate分类
数理科学引用本文复制引用
吴宇,覃霞,吴天文,彭林欣..基于无网格法的弹性地基加肋斜板频率数值解[J].计算力学学报,2019,36(1):110-116,7.基金项目
国家自然科学基金 (11562001, 11102044) （11562001, 11102044）
广西重点实验室系统性研究项目 (2016ZDX10) 资助项目. （2016ZDX10）
