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《Acta Mechanica Sinica》 2004-03
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ADJOINT SHAPE SENSITIVITY ANALYSIS BASED ON GENERALIZED VARIATIONAL PRINCIPLE

Guo Xu Gu Yuanxian Zhao Kang (State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China)  
Variational principle for adjoint design sensitivity analysis was first developed by Arora. The original form of the principle is stated in terms of an augmented functional that is denned by adding to the response functional whose sensitivity is required, the weak form equilibrium equation of the primary problem. In the present paper, a new adjoint shape sensitivity analysis method for shape optimization of continuum structures is proposed. Based on the generalized variational principle, the shape variation of the displacement prescribed boundary and the associated derivatives of the prescribed boundary conditions is considered in a consistent way. The proposed method eliminates the limitation of Arora's method for dealing with the variations of Dirichlet boundaries and provides a new framework for shape sensitivity analysis. An analytical example illustrates the effectiveness and validity of the proposed approach.
【Fund】: 国家自然科学基金(10102003 10032030 10225212 10332010);; 留学归国人员启动基金资助项目.~~
【CateGory Index】: O176
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【Co-references】
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