Abstract
This paper presents microstructural topology optimization of viscoelastic materials for the plates with constrained layer damping (CLD) treatments. The design objective is to maximize modal loss factor of macrostructures, which is obtained by using the Modal Strain Energy (MSE) method. The microstructure of the viscoelastic damping layer is composed of 3D periodic unit cells. The effective elastic properties of the unit cell are obtained through the strain energy-based method. The density-based topology optimization is adopted to find optimal microstructures of viscoelastic materials. The design sensitivities of modal loss factor with respect to the design variables are analyzed and the design variables are updated by Method of Moving Asymptotes (MMA). Numerical examples are given to demonstrate the validity of the proposed optimization method. The effectiveness of the optimal design method is illustrated by comparing a solid and an optimized cellular viscoelastic material as applied to the plates with CLD treatments.
Highlights
Viscoelastic damping materials are desired in many engineering applications to reduce unwanted noise and vibration due to their favourable characteristics in dissipating dynamic energy
Liu et al [20] proposed a topology optimization algorithm based on the bidirectional evolutionary structural optimization (BESO) method to enhance the macroscopic modal damping and natural frequency of structures constructed by optimized viscoelastic materials
Microstructural topology optimization of damping material of a plate with constrained layer damping (CLD) treatment is relatively limited. erefore, the purpose of this paper is to optimize microstructure of viscoelastic material of the CLD plates with the aim of maximizing the modal loss factor of the macrostructure. e microstructure of the viscoelastic damping layer is represented by 3D periodical unit cell (PUC), and its effective shear modulus is obtained by using the strain energy-based method. e design sensitivities of modal loss factor with respect to the design variables are analyzed and the optimization problem is solved by the Method of Moving Asymptotes (MMA) approach
Summary
Viscoelastic damping materials are desired in many engineering applications to reduce unwanted noise and vibration due to their favourable characteristics in dissipating dynamic energy. Zheng et al [7] proposed the layout optimization of the CLD treatments to minimize vibration energy and sound radiation of cylindrical shells. Yi et al [18] utilized the inverse homogenization method to optimize the microstructure of the damping material with the aim of improving the damping characteristics of viscoelastic composites. Liu et al [20] proposed a topology optimization algorithm based on the BESO method to enhance the macroscopic modal damping and natural frequency of structures constructed by optimized viscoelastic materials. Microstructural topology optimization of damping material of a plate with CLD treatment is relatively limited. Erefore, the purpose of this paper is to optimize microstructure of viscoelastic material of the CLD plates with the aim of maximizing the modal loss factor of the macrostructure. Microstructural topology optimization of damping material of a plate with CLD treatment is relatively limited. erefore, the purpose of this paper is to optimize microstructure of viscoelastic material of the CLD plates with the aim of maximizing the modal loss factor of the macrostructure. e microstructure of the viscoelastic damping layer is represented by 3D periodical unit cell (PUC), and its effective shear modulus is obtained by using the strain energy-based method. e design sensitivities of modal loss factor with respect to the design variables are analyzed and the optimization problem is solved by the MMA approach
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