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| The lift-and-project methods for the extreme structural response analysis |
| Received:November 16, 2011 Revised:April 03, 2012 |
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| DOI：10.7511/jslx201302018 |
| KeyWord:lift-and-project methods truss structure global optimality |
| Author | Institution |
| 白巍 |
沈阳航空航天大学 航空航天工程学院,沈阳 ;辽宁省飞行器复合材料结构分析与仿真重点实验室,沈阳 |
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| Abstract: |
| A new method is proposed for the extreme structural response for truss structures.The key point for the structural robust design and optimization is to calculate the extreme structural response.Mathematically,however,the problem is often a non-convex programming for calculating the extreme structural response,which is NP-hard to obtain the global optimality.A so called "Lift-and-Project" method is proposed by means of relaxing the original non-convex lower-level problem into a non-linear & non-smooth but CONVEX programming,which can be solved globally and efficiently.The design requirements can be fully assured.Numerical examples show the effectiveness of this proposed method. |