| 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 |
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| 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 |
| 投稿时间：2017-09-15 修订日期：2017-11-30 |
| DOI：10.7511/jslx20170915002 |
| 中文关键词: 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 |
| 英文关键词:Winkler elastic foundation MLS meshfree method free vibration stiffened skew plate |
| 基金项目:国家自然科学基金（11562001，11102044）；广西重点实验室系统性研究项目（2016ZDX10）资助项目. |
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| 中文摘要: |
| 为了给实际地基工程中的经济效益提供技术指标参考，应用无网格法计算加肋斜板在地基上的自由振动行为，应用移动最小二乘近似MLS和一阶剪切变形原理描述加肋斜板的位移场，分别建立斜板与肋条的势能泛函，使用Winkler弹性地基模型处理加肋板与地基之间的接触势能。通过斜板与肋条的位移协调关系寻找斜板和肋条节点参数转换公式，确立加肋斜板的自由振动控制方程。本文运用了无网格法的优势，即使肋条位置改变也不需重置网格。与有限元解的对比验证了本文方法的有效性和精确性。 |
| 英文摘要: |
| 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. |
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