Passage through a resonance for a mechanical system, having time-varying parameters and possessing a single trapped mode. The principal term of the resonant solution

Author:

Shishkina E.V.,Gavrilov S.N.,Mochalova Yu.A.

Publisher

Elsevier BV

Subject

Mechanical Engineering,Mechanics of Materials,Acoustics and Ultrasonics,Condensed Matter Physics

Reference38 articles.

1. An infinite-length system possessing a unique trapped mode versus a single degree of freedom system: a comparative study in the case of time-varying parameters;Gavrilov,2019

2. Trapping modes in the theory of surface waves;Ursell;Math. Proc. Camb. Phil. Soc.,1951

3. The evolution of a trapped mode of oscillations in a string on an elastic foundation moving inertial inclusion system;Gavrilov;J. Appl. Math. Mech.,2002

4. The effective mass of a point mass moving along a string on a Winkler foundation;Gavrilov;J. Appl. Math. Mech.,2006

5. Evolution of a trapped mode of oscillation in a continuous system with a concentrated inclusion of variable mass;Indeitsev;Dokl. Phys.,2016

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