论文信息 - STUDY ON TOPOLOGY OPTIMIZATION WITH STRESS CONSTRAINTS

STUDY ON TOPOLOGY OPTIMIZATION WITH STRESS CONSTRAINTS

Abstract The paper studies the relation between topology optimization and size optimization of truss structures. The goal of the optimization is to minimize the structural weight under stress constraints and side constraints on member cross sectional areas. The limiting stress concept is defined and the computational formula of limiting stress for truss structures calculated by a finite element method is given. Based on the limiting stress concept the continuity of the stress function at zero cross sectional area is carefully examined which enables us to understand the dilemma of defining the stress function in the closed interval up to zero cross sectional area. By considering the relation between the limiting stress and allowable stress the feasibility of stress constraints is discussed and the difficulty of adding a new bar to the truss or deleting an existing one is better understood. We have also shown that for topology optimization of truss structures the feasible design domain in the design space i...

Gengdong Cheng | G. Cheng | Zheng Jiang | Zheng Jiang

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