Abstract In this paper, the element free Galerkin method (EFG) is applied to carry out the topology optimization of the continuum structures subjected to a forced vibration. Considering the relative density of nodes as design variables, the minimization of dynamic compliance as an objective function, the mathematical formulation of the topology optimization is developed using the SIMP (solid isotropic microstructures with penalization) interpolation scheme. Sensitivity of the objective function is derived based on the adjoint method. The optimization formulation is solved by the optimality criteria method. Numerical examples show that the proposed approach is feasible and efficient for the topology optimization of the continuum structures subjected to a forced vibration.
2011, Vol. 32 
