Multi-objective topology optimization of truss with interval parameters based on interval possibility degree

Multi-objective topology optimization of truss with interval parameters is investigated. Based on interval possibility degree, the topology optimization mathematic model with stress and frequency constraints of truss is constructed, where the upper bounds of the structure weight and the maximum structure displacement are taken as objective functions and the cross sectional areas of bar and nodal topological information are regarded as design variables. Through Taylor expansion and interval extension of function, the interval values of the objective functions and the constraint functions can be obtained. The Pareto CMOPGA (genetic algorithm for constrained multi-objective optimization problem) on the basis of individual ranking is adopted to solve the constrained multi-objective optimization problem. Two examples show that the proposed method is effective and reasonable.