The decision of task about the axisymmetric natural vibrations of cir-cular plate with a thickness decreasing from a center on a concave parabola
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Abstract
A task is considered about the natural vibrations of circular plate with a thickness decreasing from a center on a concave parabola. The method of decision of differential equalization of fourth order, that describes the natural vibrations of axisymmetric plate, is shown. Natural frequencies are calculated and bending is built for the first three forms of axisymmetric vibrations of plate with the hard fixing on an internal contour. Possibility of close estimation of the tensely-deformed state of the considered plate is marked on the basis of the results got before for the plate of linear-variable thickness. The novelty of job performances consists in development of method for the decision of task about the vibrations of plate of variable thickness of parabolic type, decreasing from a center to the edge. The practical value of the got results consists of possibility of the direct use of method of symmetries and calculation data, in particular, for the rational planning of the resonant voice and ultrasonic systems on the basis of plates as acoustic active elements.
Reference 7, figures 4, tables 2.
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References
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