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| Duality solution to optimization model with stress and displacement constraints in different approximate forms |
| Revised:July 12, 2005 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20075110 |
| KeyWord:explicit stress handled by internal force,response surface methodology,dual programming,quadratic programming |
| SUI Yun-kang ZHANG Li-xin DU Jia-zheng |
| Numerical Simulation Center for Engineering,Beijing University of Technology,Beijing 100022,China |
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| Abstract: |
| Based on Response Surface Methodology,stress constraints are linearized in terms of direct variables through the handling of internal force,and displacement constraints are approximated in first-order form dependent on reciprocal variables.The cross-sectional optimization model of truss with minimal weight is transformed into quasi-unbownded model using the dual programming theory,which can be solved by sequential quadratic programming algorithm.Its computational efficiency is compared to the approaches of zero-order and first-order approximation of stress constraints(also expressed explicitly by RSM) through several numerical examples,which show the proposed method has advantages in some aspects. |
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