Integration of Topology and Shape Optimization Design of Continuum Structure Based on Isogeometric Trimmed Surface Analysis

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (7) : 162-173.

This paper presented an integration idea of computer aided design computer aided engineering analysis, topology and shape optimization design and then explored a kind of optimization strategy for integation of topology and shape optimization design of continuum structure based on isogeometric trimmed surface analysis.The proposed method unified the model of computer aided design, computer aided engineering and optimization design in structure optimization. Isogeometric trimmed surface analysis based on B splines not only expressed the geometry shape accurately, but also solved arbitrarily complex topology optimization problem. The trimmed criteria selected determined the reasonable direction of topology changes. It did not need to remesh during structural optimization process. The design results broke through the limitations of initial design space. It was also convenient in shape optimization. The integration method contained the calculation method for sensitivity analysis of isogeometric trimmed surface, and the algorithm for integation of topology and the shape optimization design based on isogeometric trimmed analysis. A numerical example illustrated the correctness and effectiveness of the method.

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Abstract

This paper presented an integration idea of computer aided design computer aided engineering analysis, topology and shape optimization design and then explored a kind of optimization strategy for integation of topology and shape optimization design of continuum structure based on isogeometric trimmed surface analysis.The proposed method unified the model of computer aided design, computer aided engineering and optimization design in structure optimization. Isogeometric trimmed surface analysis based on B splines not only expressed the geometry shape accurately, but also solved arbitrarily complex topology optimization problem. The trimmed criteria selected determined the reasonable direction of topology changes. It did not need to remesh during structural optimization process. The design results broke through the limitations of initial design space. It was also convenient in shape optimization. The integration method contained the calculation method for sensitivity analysis of isogeometric trimmed surface, and the algorithm for integation of topology and the shape optimization design based on isogeometric trimmed analysis. A numerical example illustrated the correctness and effectiveness of the method.

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Shape optimization / Sensitivity analysis;Topology optimization;Isogeometric analysis;Trimmed B-spline;Finite element analysis

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Fu Xiaojin 1 Long Ka 2 Zhou Liming 1 Que Chunlan1 Ye Hang 1 . Integration of Topology and Shape Optimization Design of Continuum Structure Based on Isogeometric Trimmed Surface Analysis[J]. Journal of Vibration and Shock, 2015, 34(7): 162-173

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