On solution of initial-boundary problem, connected with longitudinal impact of elastic-viscous rod

S.S. Kritskaia (Dnipropetrovsk State University)
D.I. Rogach (Dnipropetrovsk State University)

Abstract


We conduct the solution, by Fourier method, of the problem about longitudinal oscillations caused by impact to one end of elastic-viscous rod of finite length with variable lateral section in the case when the condition of fixation of another end of the rod is represented by linear equation in displacement and deformation.

References


Shtraus A.V. "On spectral functions of differential operator of even order", Dokl. AN SSSR, 1957; 3(1). (in Russian)

Sanson B.M. Ordinary differential equations, 1953; 1. (in Russian)

Levitan B.M., Sargasian I.S. Introduction to Spectral Theory, Nauka, 1970. (in Russian)

Ishlinskii A.Yu. "Longitudinal oscillations of rod in presence of linear law of relaxation and after-effect", Appl. Math. and Mech., 1940; 4(1). (in Russian)




DOI: https://doi.org/10.15421/248718

  

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Copyright (c) 1987 S.S. Kritskaia, D.I. Rogach

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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