ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


For citation:

Zemlyanukhin A. I., Mogilevich L. I. Nonlinear deformation waves in cylindrical shells. Izvestiya VUZ. Applied Nonlinear Dynamics, 1995, vol. 3, iss. 1, pp. 52-58. DOI: 10.18500/0869-6632-1995-3-1-52-58

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Russian
Article type: 
Article
UDC: 
534.222:539.3

Nonlinear deformation waves in cylindrical shells

Autors: 
Zemlyanukhin Aleksandr Isaevich, Yuri Gagarin State Technical University of Saratov
Mogilevich Lev Ilyich, Yuri Gagarin State Technical University of Saratov
Abstract: 

The evolution of nonlinear fongitudinal waves in elastic and nonlinear-elastic cylindrical shells has been analysed. In elastic shells one-dimensional and twodimensional solitons of the equations KdV and Kadomtsev - Petviashvili have been геvealed. It was demonstrated that there exist one-dimensional solitons of the equation mKdV in nonlinear-elastic shells. Calculation of dissipation effects allowed to get integrable evolution equations for the longitudinal deformation component.

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Reference: 
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Received: 
19.09.1994
Accepted: 
16.02.1995
Published: 
15.09.1995