Distribution of Natural Wave of the Cylindrical Body in a State Of Tension

Umarov Alouddin Ochilovich

Distribution of Natural Wave of the Cylindrical Body in a State Of Tension

Keywords : natural oscillations, dissipative properties, the environment, spectral problem, the natural frequency, the wave number


Abstract

In this paper the distribution of natural waves in the viscoelastic disc. The spectral problem is reduced to solving a system of ordinary differential equations of the first order with variable complex coefficients. The solution of differential equations is expressed by a special cylindrical Bessel functions and Hankel. The frequency equations are solved by numerical methods Muller and Gauss. The change in the natural frequency and phase velocity as a function of the wave number. The problem is solved numerically by the Godunov orthogonal sweep method and Mueller. Compares the numerical results.

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