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Base force element method of complementary energy principle for large rotation problems

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Abstract

Using the concept of the base forces, a new finite element method (base force element method, BFEM) based on the complementary energy principle is presented for accurate modeling of structures with large displacements and large rotations. First, the complementary energy of an element is described by taking the base forces as state variables, and is then separated into deformation and rotation parts for the case of large deformation. Second, the control equations of the BFEM based on the complementary energy principle are derived using the Lagrange multiplier method. Nonlinear procedure of the BFEM is then developed. Finally, several examples are analyzed to illustrate the reliability and accuracy of the BFEM

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Authors and Affiliations

  1. FML, Department of Engineering Mechanics, Tsinghua University, 100084, Beijing, China

    Yijiang Peng & Yinghua Liu

  2. Key Lab of Urban Security and Disaster Engineering, Beijing University of Technology, 100124, Beijing, China

    Yijiang Peng

Authors
  1. Yijiang Peng
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  2. Yinghua Liu
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Corresponding author

Correspondence to Yijiang Peng.

Additional information

The project supported by the China Postdoctoral Science Foundation Funded Project (20080430038) and the Funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality (05004999200602).

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Peng, Y., Liu, Y. Base force element method of complementary energy principle for large rotation problems. Acta Mech Sin 25, 507–515 (2009). https://doi.org/10.1007/s10409-009-0234-x

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  • DOI: https://doi.org/10.1007/s10409-009-0234-x

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