Generalized method of symmetries in the study of vibrations of elastic elements
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Abstract
The method of calculation of own vibrations of acoustic bars of variable rigidity on the basis of realization of ideas symmetries for the differential equation of the second order with variable factors is resulted. The scheme of application of the method for considerable number of applied problems of physical acoustics is constructed. The substantive provisions are formulated, allowing to extend the received method on adjacent applied problems where object of research are the ordinary differential equations of 2th order.
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