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

GONG Linqi; CHEN Xiyun; GUO Qing; PENG Yijiang

doi:10.21656/1000-0887.410341

Volume 42 Issue 8

Aug. 2021

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Article Navigation > Applied Mathematics and Mechanics > 2021 > 42(8): 785-793

GONG Linqi, CHEN Xiyun, GUO Qing, PENG Yijiang. Application of the Base Force Element Method to Spacial Geometrically Nonlinear Problems[J]. Applied Mathematics and Mechanics, 2021, 42(8): 785-793. doi: 10.21656/1000-0887.410341

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

doi: 10.21656/1000-0887.410341

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)

Received Date: 2020-11-11
Rev Recd Date: 2021-01-29

Available Online: 2021-08-14

Abstract

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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References(17)

References

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