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Optimization Design of Plate on Vibration and Acoustics Based on Finite Element Simulation

Jun Zhang, Gengdong Cheng

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Abstract

An optimization design on reducing vibration and noise radiation of a plate subject to the weight constraints is studied. The FEM (finite element method) is used to simulate vibration and noise radiation. The main goal is to evaluate the optimization effect on vibration reduction and noise radiation reduction. The sensitivity of vibration velocity with respect to shell thickness is formulated for accelerating convergence during optimization by the feasible directions method. Numerical examples indicate that significant reductions of vibration velocity and noise radiation can be achieved by multi-frequency velocity optimization.

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An optimization design on reducing vibration and noise radiation of a plate subject to the weight constraints is studied. The FEM (finite element method) is used to simulate vibration and noise radiation. The main goal is to evaluate the optimization effect on vibration reduction and noise radiation reduction. The sensitivity of vibration velocity with respect to shell thickness is formulated for accelerating convergence during optimization by the feasible directions method. Numerical examples indicate that significant reductions of vibration velocity and noise radiation can be achieved by multi-frequency velocity optimization.

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Available abstract

An optimization design on reducing vibration and noise radiation of a plate subject to the weight constraints is studied. The FEM (finite element method) is used to simulate vibration and noise radiation. The main goal is to evaluate the optimization effect on vibration reduction and noise radiation reduction. The sensitivity of vibration velocity with respect to shell thickness is formulated for accelerating convergence during optimization by the feasible directions method. Numerical examples indicate that significant reductions of vibration velocity and noise radiation can be achieved by multi-frequency velocity optimization.

Key concepts: Vibration, Finite element method, Noise (video), Acoustics, Convergence (economics), Sensitivity (control systems), Reduction (mathematics), Noise reduction

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