A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Approximate Models for the Optimization of Large Structural Systems
Abstract Approximate reanalysis methods, based on results of a single precise analysis, are discussed. The basic approximations of Taylor series, the Binomial series, and the reduced basis method are first presented. Combined approximations, intended to improve the quality of the results are then introduced. A general solution procedure, for improved approximate reanalysis of structures is proposed. It is shown that the quality of the approximations can greatly be improved by combining the computed terms of a series expansion, used as high quality basis vectors, and coefficients of a reduced basis expression. The latter coefficients can readily be determined by solving a reduced set of the analysis equations. The presented procedure is suitable for various types of design variables and can be used with a general finite element model. 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
Approximate Models for the Optimization of Large Structural Systems
Abstract Approximate reanalysis methods, based on results of a single precise analysis, are discussed. The basic approximations of Taylor series, the Binomial series, and the reduced basis method are first presented. Combined approximations, intended to improve the quality of the results are then introduced. A general solution procedure, for improved approximate reanalysis of structures is proposed. It is shown that the quality of the approximations can greatly be improved by combining the computed terms of a series expansion, used as high quality basis vectors, and coefficients of a reduced basis expression. The latter coefficients can readily be determined by solving a reduced set of the analysis equations. The presented procedure is suitable for various types of design variables and can be used with a general finite element model. 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
Approximate Models for the Optimization of Large Structural Systems
Kirsch, Uri (author)
1993-01-01
17 pages
Article/Chapter (Book)
Electronic Resource
English
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