Wave packets in a thin cylindrical shell under a non-uniform axial load. (English. Russian original) Zbl 1010.74578

J. Appl. Math. Mech. 65, No. 2, 301-309 (2001); translation from Prikl. Mat. Mekh. 65, No. 2, 308-316 (2001).
The authors consider a thin cylindrical shell of thickness \(h\). It is assumed that the shell is loaded by slowly varying with respect to time and circular coordinate axial efforts. The compression effort does not reach its critical value. The propagation of localized families of bending-plane waves is studied. As example nonstationary localized vibrations of cylindrical shell are studied. The shell’s crossection is ellipse.


74K25 Shells
74H45 Vibrations in dynamical problems in solid mechanics
74J05 Linear waves in solid mechanics


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