Abstract
Resonance damping for a vibrating plate is investigated both according to the exact equations of dynamical viscoelasticity and the classical thin-plate equations derived in mechanics of materials. The plate is assumed as isotropic and homogeneous and no shear- or rotatory-inertia corrections have been included in the thin-plate approximations. Two types of materials are investigated that correspond to real and complex values of the bulk modulus. For each case, the complex shear modulus is μ(1+ig) and values of g up to 0.10 were used in the calculations. The two theories are in excellent agreement in a range of wavelengths as low as about ten times the thickness. It is found that thin-plate theory evaluates the damping more accurately than it does the static rigidity.
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