TOPOLOGY OPTIMIZATION OF CONTINUUM STRUCTURES WITH MULTI-CONSTRAINTS

The topology optimization problems with multi-constraints are solved by the floating-reference- interval method which simulates the structural topology optimization process with a bone remodelling process based on Wolff’s law. The optimal material distribution of structure is obtained when the structure reaches a remodelling equilibrium state. At that state, the absolute values of principal strains locate in an interval of reference strain. To satisfy the character constraints of an optimal problem, the reference interval must change during iteration process. Several types of character constraints, e.g., stress constraint, displacement constraint and volume constraint of structure, are discussed about their influence on the reference interval. The algorithm for solving the topology optimization problems with multi-constraints is given and is verified to be feasible by numerical examples.