基面力单元法在空间几何非线性问题中的应用

龚琳琦; 陈曦昀; 郭庆; 彭一江

doi:10.21656/1000-0887.410341

基面力单元法在空间几何非线性问题中的应用

doi: 10.21656/1000-0887.410341

龚琳琦¹,
陈曦昀^1,2,
郭庆¹,
彭一江^1, ,

1. 北京工业大学城市与工程安全减灾教育部重点实验室，北京 100124;
2. 香港华艺设计顾问（深圳）有限公司, 广东深圳 518000

基金项目:

国家自然科学基金(10972015)

详细信息

作者简介:
龚琳琦（1995—），女，硕士生(E-mail: 826809747@qq.com);彭一江(1962—)，男，教授，博士(通讯作者. E-mail: pengyijiang@bjut.edu.cn).

通讯作者:
彭一江(1962—)，男，教授，博士(通讯作者. E-mail: pengyijiang@bjut.edu.cn).

中图分类号: O343.2|O242.21
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- 文章访问数: 869
- HTML全文浏览量: 172
- PDF下载量: 59
- 被引次数: 0
出版历程
- 收稿日期: 2020-11-11
- 修回日期: 2021-01-29
- 网络出版日期: 2021-08-14

Application of the Base Force Element Method to Spacial Geometrically Nonlinear Problems

1. Key Laboratory of Urban Security and Disaster Engineering Ministry of Technology，Beijing University of Technology, Beijing 100124, P.R.China;
2. Hongkong Huayi Design Consultants(Shenzhen) Ltd., Shenzhen, Guangdong 518000, P.R.China

Funds:

The National Natural Science Foundation of China(10972015)

摘要

摘要: 基于基面力的概念，并结合Euler角的位移描述方法，提出了适用于几何非线性计算的空间6结点余能基面力单元.使用MATLAB语言编程并对典型梁、板结构进行弹性大变形数值模拟.由计算结果可以看出，基于余能原理的基面力元法(BFEM)在计算构件的空间大变形时有较好的计算精度，对比传统有限元计算方法具有网格尺寸影响小和抗畸变能力强的特点，有良好的计算性能.
- 基面力元法 /
- 余能原理 /
- 空间几何非线性 /
- 有限元
Abstract: Based on the base force element method (BFEM) and the principle of complementary energy, a 6-node spatial solid unit was proposed for spacial geometrically nonlinear calculation, and the Euler angles were used to describe the displacement. MATLAB was used to program and simulate the elastic large deformation problem of typical beam and plate structures. The calculation results show that, the finite element model based on the BFEM and the complementary energy principle has good calculation accuracy for the spatial geometrically nonlinear components. Compared with the traditional finite element method, the model has the characteristics of smaller mesh size effects and stronger anti-distortion ability.
- base force element method /
- complementary energy /
- geometrically nonlinear /
- finite element

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参考文献(17)

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基面力单元法在空间几何非线性问题中的应用

doi: 10.21656/1000-0887.410341

作者简介:
龚琳琦（1995—），女，硕士生(E-mail: 826809747@qq.com);彭一江(1962—)，男，教授，博士(通讯作者. E-mail: pengyijiang@bjut.edu.cn).

通讯作者:
彭一江(1962—)，男，教授，博士(通讯作者. E-mail: pengyijiang@bjut.edu.cn).

计量

Application of the Base Force Element Method to Spacial Geometrically Nonlinear Problems

计量

目录

留言板

基面力单元法在空间几何非线性问题中的应用

doi: 10.21656/1000-0887.410341

作者简介: 龚琳琦（1995—），女，硕士生(E-mail: 826809747@qq.com);彭一江(1962—)，男，教授，博士(通讯作者. E-mail: pengyijiang@bjut.edu.cn).

通讯作者: 彭一江(1962—)，男，教授，博士(通讯作者. E-mail: pengyijiang@bjut.edu.cn).

计量

出版历程

Application of the Base Force Element Method to Spacial Geometrically Nonlinear Problems

计量

出版历程

目录

作者简介:
龚琳琦（1995—），女，硕士生(E-mail: 826809747@qq.com);彭一江(1962—)，男，教授，博士(通讯作者. E-mail: pengyijiang@bjut.edu.cn).

通讯作者:
彭一江(1962—)，男，教授，博士(通讯作者. E-mail: pengyijiang@bjut.edu.cn).