Simultaneously static and dynamic layout designs of stiffening structures

Abstract

Abstract In the present paper, the topological design problem of lightweight stiffening structures are studied. Multiple design criteria like static compliance, dynamic compliance, eigenfrequency/eigenfrequency gaps and weight are considered simultaneously as sub-objectives in the optimization model. A bound formulation is developed and implemented to deal with the problem concerned, by which the difficulties of non-continuity of the multiple objective functions can be got over. Comparing with the empirical adjustment design or more elaborated parametric design, the topological design may introduce more degrees of design freedom, and thus is possible to produce more innovative conceptual design. The method of sequential convex programming is employed to find the solution of the optimization problem. Numerical examples show that, using the presented approach, the optimized layout of the stiffening structures with enhanced static and dynamic mechanical properties can be obtained.