Optimization of Plate with Partial Constrained Layer Damping Treatment for Vibration and Noise Reduction

Abstract

To efficiently reduce vibration and noise of a plate, an optimization of passive constrained layer damping (CLD) is presented. The dynamic equation of a sandwich plate with CLD treatment is derived using Lagrange’s method. The assumed modes method is employed to solve the equation and obtain the vibrational energy and sound power, which are used as the objective of optimal design. A genetic algorithm of big mutation is employed to search for the optimum of the location of CLD treatment, the thicknesses of both the constraining layer and the viscoelastic layer and the shear modulus of the viscoelastic material with the restriction of added mass of the total CLD treatment. Numerical results show that for a simply-supported plate with a transverse force (1Hz~200Hz) applied at (0.8La, 0.8Lb), the optimized CLD significantly reduce the vibrational energy and sound power.

A novel viscoelastic damping treatment for honeycomb sandwich structures

“…9 to 12 indicate the added mass of the CLD configuration as proposed in the original study where those authors considered the thickness of the viscoelastic layer as an optimisation parameter. In these cases there are CLD configurations identified here which were more efficient than those originally identified by the authors, for example the CLD configuration as proposed by Hou [20] was more efficient with a thinner viscoelastic layer, see Fig. 12.…”

“…Relative amplitude reduction to the undamped structure (%) Loss efficiency E Loss efficiency E Hajela [11] Hau [29] Marcelin [12] Figure 5b Loss efficiency E Loss efficiency E Loss efficiency E Simply supported plate DSLJ [5] Chen [15] Hou [20] Ling [21] Zheng [22] Figure 12…”

“…Kim also used a topology optimisation in order to find the best configuration of CLD on a fully clamped and cantilevered plate [18] that give the highest modal loss factor for a minimal increase in mass. A Genetic Algorithm was used by Hou et al in order to minimise the vibrational energy of a simply supported beam [19] and plate [20] damped with CLD. The location of the CLDs was determined with a restriction on the mass added.…”

A sustainable approach of damping treatment for aluminium honeycomb sandwich structures

“…However, looking into the field of optimisation studies for damping of honeycomb structures, both symmetric and asymmetric solutions are found depending on the respective critical parameters. Asymmetric results are produced by Zheng et al 32 and Hou et al 33 for simply supported honeycomb structures. Both were using vibrational energy as a performance parameter which is related to the displacement response used in this study.…”