International Journal of Aerospace and Lightweight Structures

doi: 10.3850/S2010428612000475

Optimal Passive Cld Treatment for Reduction of
Vibrational Energy of Stiffened Plates With
Arbitrary Boundary Conditions

Zhiping Wei^1,a, Hui Zheng² and Yibo Wang^{1,b 1}Shanghai Key Laboratory of Digital Manufacture for Thin-walled Structures,
State Key Laboratory of Mechanical System and Vibration,
Shanghai Jiao Tong University 800 Dongchuan Road, Shanghai 200240, P.R.China. ^aweizhiping@sjtu.edu.cn ^bwangyibo@sjtu.edu.cn ²Institute of Vibration, Shock & Noise, School of Mechanical Engineering,
State Key Laboratory of Mechanical System and Vibration,
Shanghai Jiao Tong University 800 Dongchuan Road, Shanghai 200240, P.R.China. huizheng@sjtu.edu.cn

ABSTRACT

This paper presents a passive Constrained-Layer Damping (CLD) treatment optimization study with aim to minimize the Vibrational Energy (VE) of stiffened plates supported by arbitrary Boundary Conditions (BCs). The displacement-like governing equations of motion for the calculation of time-harmonic response of a partially CLD-covered stiffened plate is derived on the basis of energy approach, and the governing equations are then discretized by Rayleigh-Ritz method using polynomial functions to treat arbitrary BCs. A series of generalized coordinates are truncated to certain numbers in order to meet the accuracy demand when solving the problem of forced vibration of the considered plate with transversely applied point force on a cross-point of orthotropic stiffeners. The optimization problem is then formulated to minimize the VE of the plate over a frequency range of interest. A genetic algorithm-based penalty function method is employed to search for the optimal CLD patches and also the shear modulus of viscoelastic layers. Optimal results are given and discussed for the cases where the VE of the stiffened plate over a frequency range covering several modes for different supporting boundary conditions with inclusion of the restriction of the added weight owing to damping treatment.

Keywords: Arbitrary boundary conditions, Constrained-layer damping, Optimization, Stiffened plates, Vibrational energy.

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