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Structural static reanalysis for modification of supports

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Abstract

This paper is focused on structural static reanalysis problem with modification of supports. An efficient reanalysis method is proposed. The method is based on the introduction of the modified master stiffness matrices, the rank-one decomposition of the corresponding incremental stiffness matrix, and the sparse Cholesky rank-one update/downdate algorithm. Adding and deleting of supports with arbitrary orientations can be dealt with. Numerical examples show that exact results can be obtained by the proposed method, and the computational times can be significantly reduced in comparison with the direct analysis method.

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Acknowledgments

The work was partially supported by the National Natural Science Foundation of China (Grant Nos. 11072085 and 51005096) and the Fundamental Research Funds for the Central Universities.

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Authors and Affiliations

  1. Department of Mathematics, School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049, People’s Republic of China

    H. F. Liu

  2. Department of Mechanics and Engineering Science, School of Mathematics, Jilin University, Changchun, 130012, People’s Republic of China

    B. S. Wu, Z. G. Li & S. P. Zheng

Authors
  1. H. F. Liu
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  2. B. S. Wu
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  3. Z. G. Li
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  4. S. P. Zheng
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Correspondence to B. S. Wu.

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Liu, H.F., Wu, B.S., Li, Z.G. et al. Structural static reanalysis for modification of supports. Struct Multidisc Optim 50, 425–435 (2014). https://doi.org/10.1007/s00158-014-1063-5

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  • DOI: https://doi.org/10.1007/s00158-014-1063-5

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