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- W2000265793 abstract "The concept of simultaneous analysis and design (SAND) is revisited with two objectives in mind: 1) to study and evaluate three alternative formulations for structural optimization using trusses as examples and 2) to implement the formulations with a structural analysis program and study their implementation aspects. The idea is to gain insights for use of the alternative formulations for structural optimization. Three alternative formulations are defined using displacements and forces or stresses as optimization variables. All of the problem functions in the formulations become explicit in terms of the variables. Gradients of the functions can be evaluated more easily compared to the conventional approach where special design sensitivity analysis methods are needed. Existing analysis software is integrated with an optimizer based on a sparse sequential quadratic programming method to solve examples with known solutions. With the SAND-type formulations, only the pre- and postprocessing capabilities of the analysis software are used to evaluate the problem functions; however, the conventional formulation also needs the equation solving capabilities for analysis as well as design sensitivity analysis. Performance of the formulations is evaluated with extensive numerical experiments, and their advantages and disadvantages are discussed. Based on the present research, it is concluded that the alternative SAND formulations are more efficient compared to the conventional approach and have potential for further development for practical applications, particularly the formulations that do not require calculation of the global stiffness matrix." @default.
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- W2000265793 date "2005-10-01" @default.
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- W2000265793 title "Alternative Formulations for Structural Optimization: An Evaluation by Using Trusses" @default.
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- W2000265793 doi "https://doi.org/10.2514/1.10061" @default.
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