| 基于边光滑有限元法的加筋板静力和自由振动分析 |
| |
| 引用本文： | 游翔宇,郑文成,李威,柴应彬,程聪.基于边光滑有限元法的加筋板静力和自由振动分析[J].计算力学学报,2018,35(1):28-34. |
| |
| 作者姓名： | 游翔宇 郑文成 李威 柴应彬 程聪 |
| |
| 作者单位： | 华中科技大学 船舶与海洋工程学院, 武汉 430074;船舶与海洋水动力湖北省重点实验室, 武汉 430074;高新船舶与深海开发协同创新中心, 上海 200240,中国舰船研究设计中心, 武汉 430064,华中科技大学 船舶与海洋工程学院, 武汉 430074;船舶与海洋水动力湖北省重点实验室, 武汉 430074;高新船舶与深海开发协同创新中心, 上海 200240,华中科技大学 船舶与海洋工程学院, 武汉 430074;船舶与海洋水动力湖北省重点实验室, 武汉 430074;高新船舶与深海开发协同创新中心, 上海 200240,武汉船舶设计研究院有限公司, 武汉 430064 |
| |
| 基金项目： | 国家自然科学基金面上基金（51579112）资助项目. |
| |
| 摘 要： | 运用边光滑有限元法，研究分析了加筋板结构的静力和自由振动问题。在边光滑有限元法中，将基于边的应变光滑技术用于对原来的应变场进行光滑操作；由于应变光滑技术能够适当地软化原来过刚的有限元模型，从而能够得到更加接近于系统准确刚度的光滑有限元模型；鉴于三角形单元良好的适用性，选用三角形单元对模型进行网格划分；同时，为了解决低阶Reissner-Mindlin板单元弯曲过程中的横向剪切自锁问题，采用了一种新型的离散剪切间隙技术。算例的数值计算结果表明，与传统的有限元法相比，边光滑有限元法能够得到精度更高的计算结果，且收敛更快，计算效率更佳。
|
| 关 键 词： | 加筋板 静力分析 自由振动分析 边光滑有限元 离散剪切间隙技术 |
| 收稿时间： | 2016/10/28 0:00:00 |
| 修稿时间： | 2016/12/15 0:00:00 |
Static and free vibration analysis of stiffened plates by ES-FEM using triangular element |
| |
| YOU Xiang-yu,ZHENG Wen-cheng,LI Wei,CHAI Ying-bin,CHENG Cong.Static and free vibration analysis of stiffened plates by ES-FEM using triangular element[J].Chinese Journal of Computational Mechanics,2018,35(1):28-34. |
| |
| Authors: | YOU Xiang-yu ZHENG Wen-cheng LI Wei CHAI Ying-bin CHENG Cong |
| |
| Institution: | School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;Hubei Key Laboratory of Naval Architecture and Ocean Engineering Hydrodynamics, Wuhan 430074, China;Collaborative Innovation Center for Advanced Ship and Deep-sea Exploration, Shanghai 200240, China,China Ship Development and Design Center, Wuhan 430064, China,School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;Hubei Key Laboratory of Naval Architecture and Ocean Engineering Hydrodynamics, Wuhan 430074, China;Collaborative Innovation Center for Advanced Ship and Deep-sea Exploration, Shanghai 200240, China,School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;Hubei Key Laboratory of Naval Architecture and Ocean Engineering Hydrodynamics, Wuhan 430074, China;Collaborative Innovation Center for Advanced Ship and Deep-sea Exploration, Shanghai 200240, China and Wuhan Ship Development and Design Institute Co. Ltd. (WSDDI), Wuhan 430064, China |
| |
| Abstract: | In this paper,the edge-based smoothed finite element method (ES-FEM) is presented for static and free vibration analysis of stiffened plates.In the ES-FEM model,the edge-based strain smoothing technique (E-SST) is employed to smoothen the original strain field.Due to the softening effect provided by the E-SST,the original overly-stiff FEM model can be properly softened and the stiffness of the obtained ES-FEM model is closer to the exact system stiffness than that of the FEM.Owing to the good adapt ability of the triangular element,a triangular mesh is used to discretize the problem domain.In order to avoid the transverse shear locking caused by the low-order Reissner-Mindlin plate element,the discrete shear gap technique for triangular element (DSG3) is employed here.From several numerical examples,it is demonstrated that the proposed ES-FEM possesses faster convergence property and higher computational efficiency,and can also provide more accurate solutions than the FEM for stiffened plates. |
| |
| Keywords: | stiffened plates static analysis free vibration analysis edge-based smoothed finite element method(ES-FEM) discrete shear gap technique(DSG) |
|
| 点击此处可从《计算力学学报》浏览原始摘要信息 |
| 点击此处可从《计算力学学报》下载免费的PDF全文 |
|
