Quantization of the elastic modes in an isotropic plate
نویسندگان
چکیده
منابع مشابه
The Nonlinear Thickness-shear Vibrations of an Infinite and Isotropic Elastic Plate
Thickness-shear vibrations of a plate is one of the most widely used functioning modes of quartz crystal resonators. For an analysis of vibrations, the Mindlin and Lee plate theories based on the displacement expansion of the thickness coordinate have been used as the linear theories. However, due to lacking of available method and complexity of the problem, the nonlinear thickness-shear vibrat...
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15 صفحه اولLamb mode spectra versus the poisson ratio in a free isotropic elastic plate.
The variation, with material parameters, of Lamb modes is investigated. Vibration spectra of traction-free elastic plates are generally presented, for a given isotropic material, as a set of dispersion curves corresponding to the various Lamb mode branches. Here, the spectrum variations, with the Poisson ratio nu, are plotted in a dimensionless co-ordinate system in the form of a bundle of curv...
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Elastic plates or cylinders can support guided modes with zero group velocity (ZGV) at a nonzero value of the wave number. Using laser-based ultrasonic techniques, we experimentally investigate some fascinating properties of these ZGV modes: resonance and ringing effects, backward wave propagation, interference between backward and forward modes. Then, the conditions required for the existence ...
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We perform a deformation quantization of the classical isotropic rigid rotator. The resulting quantum system is not invariant under the usual SU(2)×SU(2) chiral symmetry, but instead SUq−1(2)× SUq(2). The classical isotropic rotator is known to be invariant under SU(2) × SU(2) chiral transformations. In ref. [1] a new Hamiltonian formulation of the isotropic rotator was found where the left and...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2007
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/40/34/003