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| A Further Discussion on Rational Topology Optimization Models for Continuum Structures |
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Abstract Different optimization models have been established for the topology optimization of continuum structures. It is necessary to compare the similarities and differences between various optimization models in order to avoid the misunderstanding or misuse of these models. At the same time, it is also necessary to discuss the applicability and rationality of different optimization models for practical engineering application. Structural weight (or volume) and stiffness are the most commonly used indicators for structural optimization. In this study, two topology optimization models were established: one with minimizing compliance subject to specified volume constraint (named as MCVC model); and the other with minimizing weight subject to displacement constraints (named as MWDC model). The SIMP method was adopted to establish and solve the MCVC model; and the ICM method was adopted to establish and solve the MWDC model. Detailed analysis and comparison on the similarities and differences between the two models were carried out under different forms of loading, such as single and multiple load cases. The topology optimization design of the mega braced frame system of a high-rise building was illustrated as a typical example of engineering application to discuss the applicability and rationality of the two models. Finally, conclusions were drawn by summarizing the advantages, disadvantages, applicability and rationality of the two models, which provided useful knowledge for engineering application and academic research on topology optimization of continuum structures.
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Received: 09 October 2015
Published: 14 April 2016
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| Fund:the Project of the Department of Education in HuNan Province |
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2016, Vol. 37 
