Method Based on Dual-Quadratic Programming for Frame Structural Optimization With Large Scale

SUI Yun-kang; DU Jia-zheng; GUO Ying-qiao

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(3): 342-350

SUI Yun-kang, DU Jia-zheng, GUO Ying-qiao. Method Based on Dual-Quadratic Programming for Frame Structural Optimization With Large Scale[J]. Applied Mathematics and Mechanics, 2006, 27(3): 342-350.

Citation:

SUI Yun-kang, DU Jia-zheng, GUO Ying-qiao. Method Based on Dual-Quadratic Programming for Frame Structural Optimization With Large Scale[J]. Applied Mathematics and Mechanics, 2006, 27(3): 342-350.

Citation:

SUI Yun-kang, DU Jia-zheng, GUO Ying-qiao. Method Based on Dual-Quadratic Programming for Frame Structural Optimization With Large Scale[J]. Applied Mathematics and Mechanics, 2006, 27(3): 342-350.

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Method Based on Dual-Quadratic Programming for Frame Structural Optimization With Large Scale

1.
Laboratory Numerical Simulation Center for Engineering, Beijing University of Technology, Beijing 100022, P. R. China;

Received Date: 2004-04-20
Rev Recd Date: 2005-11-23
Publish Date: 2006-03-15

Abstract

Abstract

The optimality criteria(OC) method and mathematical programming(MP)were combined to found the sectional optimization model of frame structures.Different methods were adopted to deal with the different constraints.The stress constraints as local constraints were approached by zero-order approximation and transformed into movable sectional lower limits with the full stress criterion.The displacement constraints as global constraints were transformed into explicit expressions with the unit virtual load method.Thus an approximate explicit model for the sectional optimization of frame structures was built with stress and displacement constraints.To improve the resolution efficiency,the Dual-Quadratic Programming was adopted to transform the original optimization model into a dual problem according to the dual theory and solved iteratively in its dual space.A method called approximate scaling step was adopted to reduce computations and smooth the iterative process.Negative constraints were deleted to reduce the size of the optimization model.With MSC/Nastran software as structural solver and MSC/Patran software as developing platform,the sectional optimization software of frame structures was accomplished,considering stress and displacement constraints.The examples show that the efficiency and accuracy are improved.
- frame structure,
- sectional optimization,
- dual-quadratic programming,
- approximate scaling step,
- deletion of negative constraint

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References(12)

References

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