Abstract
A hierarchical optimization strategy is proposed to optimally design constrained layer damping materials patched on the base plate for minimizing sound radiation power. A sound radiation optimization model is established by taking positions and thicknesses of constrained layer damping materials as design variables, and added mass as constraints. The hierarchical optimization procedure is implemented, in which evolutionary structural optimization method is employed to get optimal position layouts of constrained layer damping materials, and genetic algorithm is used to find optimal thickness configurations of constrained layer damping materials by taking the plate with optimal position layouts of constrained layer damping materials as initial structure. Two sound power sensitivities are formulated and compared for position optimization. Numerical examples in which unweighted/weighted objective functions are considered are presented, optimal positions and thickness configurations of constrained layer damping materials patched on the plate are obtained and discussed. The results demonstrate that the proposed strategy is very effective to achieve larger sound power reduction by reconfiguring the thickness of constrained layer damping materials for the results of position optimization.
Highlights
Constrained layer damping (CLD) treatments have been widely employed to reduce vibration and sound radiation of flexible structures
50% mass fraction of CLD material is still considered as constraints and the hierarchical optimization procedure is implemented
Corresponding thicknesses variables, {h1c, h1v, h2c, h2v, h3c, h3v, h4c, h4v}, is defined, and optimal thickness configurations obtained using genetic algorithm (GA) for the four subareas are listed in Table 3 for the two cases
Summary
Constrained layer damping (CLD) treatments have been widely employed to reduce vibration and sound radiation of flexible structures. The CLD treatments are often attached to the base structure, consisting of a viscoelastic material (VEM) and a constrained layer material (CLM) on top. While the base structure vibrates, the VEM will subject to a larger deformation, inducing more energy dissipation. The pioneer work in this filed can be traced back to Kerwin[1] who formulated the loss factor of a three-layer flexural beams. Advances in Mechanical Engineering treated with CLD materials. Much work has focused on modeling different CLD structures and predicting their energy dissipation.[2,3]
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