Improved parametric level set based structural topology optimization for minimizing a global frequency response

In this study, an improved parametric level set method based on a self-organized acceleration scheme is proposed for the structural topology optimization of minimizing a global frequency response. The parametric level set method based on the compactly supported radial basis functions is used for building the relative mathematical model, in which a self-organized acceleration scheme based on topological sensitivity is proposed to adaptively adjust the derivative of the objective function and the move limit to speed up the optimization convergence on the premise of the numerical stability. Numerical examples in both 2D and 3D are tested to illustrate the feasibility and effectiveness of the proposed method. Results show that the proposed method is efficient for the global frequency response minimization topology optimization problem.

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