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STUDY ON REDUCING VIBRATION BY MINIMIZING VIBRATION VELOCITY OF A PLATE

Weiying Zhang

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Abstract

Vibration veduction design of a plate is an important aspect of structure design, optimization can be achieved for a perfect vibration reduction by quantitative modification of its model in design phase. Its frequency response is calculated by use of FEM and its vibration velocity sensitivity with respect to its local thickness as a design variable is computed. An optimization model is set up with an objective function minimizing the square sum of vibration velocities of all nodes and an discretized frequencies. The optimization is performed by using the feasible direction method within frequency range of 1Hz~200Hz and a 0.331m/s max velocity reduction is achieved. Results show that plate optimization design of its weight redistribution has an remarkable effect on vibration reduction while its weight is almost unchanged.

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Vibration veduction design of a plate is an important aspect of structure design, optimization can be achieved for a perfect vibration reduction by quantitative modification of its model in design phase. Its frequency response is calculated by use of FEM and its vibration velocity sensitivity with respect to its local thickness as a design variable is computed. An optimization model is set up with an objective function minimizing the square sum of vibration velocities of all nodes and an discretized frequencies. The optimization is performed by using the feasible direction method within frequency range of 1Hz~200Hz and a 0.331m/s max velocity reduction is achieved. Results show that plate optimization design of its weight redistribution has an remarkable effect on vibration reduction while its weight is almost unchanged.

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Available abstract

Vibration veduction design of a plate is an important aspect of structure design, optimization can be achieved for a perfect vibration reduction by quantitative modification of its model in design phase. Its frequency response is calculated by use of FEM and its vibration velocity sensitivity with respect to its local thickness as a design variable is computed. An optimization model is set up with an objective function minimizing the square sum of vibration velocities of all nodes and an discretized frequencies. The optimization is performed by using the feasible direction method within frequency range of 1Hz~200Hz and a 0.331m/s max velocity reduction is achieved. Results show that plate optimization design of its weight redistribution has an remarkable effect on vibration reduction while its weight is almost unchanged.

Key concepts: Vibration, Reduction (mathematics), Finite element method, Sensitivity (control systems), Discretization, Structural engineering, Acoustics, Mathematics

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