A PEM-based topology optimization for structures subjected to stationary random excitations

This paper focuses on the topological optimization of structures subjected to stationary random excitations. A new topology scheme based pseudo excitation method (PEM) for calculating structural responses in a frequency domain is proposed. In this method, Sturm sequence applied adaptively determine number lower-order modes used mode superposition analysis. The contribution unknown higher-order approximated by partial sum constructed convergent series. Since can offer an approximate expression response solutions, not only it enhance flexibility implementation and also improve computational effort accuracy. addition, derivatives objective function are derived means adjoint method. They be achieved solving problem that similar original governing equation system. Two illustrative examples presented affirm proposed terms accuracy efficiency.