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Structural Engineering and Mechanics Volume 62, Number 3, May10 2017 , pages 297-302 DOI: https://doi.org/10.12989/sem.2017.62.3.297 |
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The Cholesky rank-one update/downdate algorithm for static reanalysis with modifications of support constraints |
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Haifeng Liu, Jihua Zhu and Mingming Li
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| Abstract | ||
| Structural reanalysis is frequently utilized to reduce the computational cost so that the process of design or optimization can be accelerated. The supports can be regarded as the design variables and may be modified in various types of structural optimization problems. The location, number, and type of supports can make a great impact on the performance of the structure. This paper presents a unified method for structural static reanalysis with imposition or relaxation of some support constraints. The information from the initial analysis has been fully utilized and the computational time can be significantly reduced. Numerical examples are used to validate the effectiveness of the proposed method. | ||
| Key Words | ||
| structural reanalysis; stiffness matrix; support constraints; Cholesky factorization; computational cost | ||
| Address | ||
| Haifeng Liu: School of Mathematics and Statistics, Xi\'an Jiaotong University, Xi\'an, 710049, P.R. China Jihua Zhu: School of Software Engineering, Xi\'an Jiaotong University, Xi\'an, 710049, P.R. China Mingming Li: Network Center, Jilin University, Changchun 130025, P.R. China | ||