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Abstract A solution procedure for improved approximate reanalysis of structures, using results of a single precise analysis, is presented. The proposed procedure is based on combining the computed terms of a first order Taylor series expansion, used as high quality basis vectors, with coefficients of a reduced basis expression. The lauer coefficients can readily be determined for each trial design. The proposed approach is suitable for various types of design variables and can be used with a general finite element model. A reanalysis procedure is introduced and its physical significance is demonstrated. Numerical examples illustrate the effectiveness of the solution process. It is shown that high quality approximations can be obtained with a small computational effort for very large changes in the design variables.
Abstract A solution procedure for improved approximate reanalysis of structures, using results of a single precise analysis, is presented. The proposed procedure is based on combining the computed terms of a first order Taylor series expansion, used as high quality basis vectors, with coefficients of a reduced basis expression. The lauer coefficients can readily be determined for each trial design. The proposed approach is suitable for various types of design variables and can be used with a general finite element model. A reanalysis procedure is introduced and its physical significance is demonstrated. Numerical examples illustrate the effectiveness of the solution process. It is shown that high quality approximations can be obtained with a small computational effort for very large changes in the design variables.
Approximations for Structural Optimization
Kirsch, Uri (author)
1991-01-01
14 pages
Article/Chapter (Book)
Electronic Resource
English
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