Dynamics of a truncated elastic cone |
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Authors: | B Kebli G Ya Popov N D Vaisfel’d |
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Institution: | 1.National Polytechnic School,Algiers,Algeria;2.I. I. Mechnikov Odessa National University,Odessa,Ukraine |
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Abstract: | The problem of determining the nonstationary wave field of an elastic truncated cone with nonzero dead weight is formulated
in terms of wave functions. The Laplace transform with respect to time and an integral transform with respect to time polar
angle are used to reduce the problem to a one-dimensional vector problem in the transform domain. The transforms of the wave
functions are expanded into series in inverse powers of the Laplace transform parameter, which makes it possible to study
the wave process at the initial instants of interaction. A method is proposed to solve the problem for an elastic cone doubly
truncated by spherical surfaces |
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Keywords: | |
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