Abstract

The potential of using topology optimization as a tool to optimize the passive constrained layer damping (PCLD) layouts with partial coverage on flat plates is investigated. The objective function is defined as a combination of several modal loss factors solved by finite element-modal strain energy (FE-MSE) method. An interface finite element is introduced to modeling the viscoelastic core of PCLD patch to save the computational space and time in the optimization procedure. Solid isotropic material with penalization (SIMP) method is used as the material interpolation scheme and the parameters are well selected to avoid local pseudo modes. Then, the method of moving asymptote (MMA) is employed as an optimizer to search the optimal topologies of PCLD patch on plates. Applications of two flat plates with different shapes have been applied to demonstrate the validation of the proposed approach. The results show that the objective function is in a steady convergence process and the damping effect of the plates can be enhanced by the optimized PCLD layouts.

Highlights

  • Constrained layer damping (CLD) is recognized as an effective means for damping out the resonant vibrations and noise radiations of thin-walled structures [1]

  • The main goal of this paper is to investigate the use of structural topology optimization as a tool to optimize the passive constrained layer damping (PCLD) treatments with partial coverage in order to enhance the energy dissipation mechanism and improve the damping characteristics of vibrating plates

  • An interface finite element is introduced to modeling the viscoelastic layer of PCLD treatment and finite element-modal strain energy (FE-MSE) method is employed to calculate the modal loss factor in the objective function

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Summary

Introduction

Constrained layer damping (CLD) is recognized as an effective means for damping out the resonant vibrations and noise radiations of thin-walled structures [1]. Though it is convenient to model complex structural with general boundary conditions by FEM, the mesh has to be very dense to satisfy the requirement of element aspect ratio because of small thicknesses of viscoelastic and constraining layers, which results in extremely large model and very expensive computation, especially in optimization problems. The main goal of this paper is to investigate the use of structural topology optimization as a tool to optimize the PCLD treatments with partial coverage in order to enhance the energy dissipation mechanism and improve the damping characteristics of vibrating plates. An interface finite element is introduced to modeling the viscoelastic layer of PCLD treatment and FE-MSE method is employed to calculate the modal loss factor in the objective function.

Modeling of the cover layers
Modeling of the viscoelastic layer
Modal loss factor
Validation of the finite element model
SIMP interpolation scheme
Optimization formulation
Sensitivity analysis
Solution method
Parameters selection
Numerical instabilities
Optimization scheme
Numerical results
Rectangular plate
Findings
Conclusion
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