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Evolution of a trapped mode of oscillation in a string on the Winkler foundation with point inhomogeneity

- S. Gavrilov, Y. Mochalova, E. Shishkina
- Physics
- Days on Diffraction (DD)
- 1 June 2017

We consider a mechanical system with mixed spectrum of natural oscillations. This is an infinite string on the Winkler elastic foundation with point inhomogeneity (the spring with negative… Expand

5 1

Non-stationary localized oscillations of an infinite Bernoulli-Euler beam lying on the Winkler foundation with a point elastic inhomogeneity of time-varying stiffness

- E. Shishkina, S. Gavrilov, Y. Mochalova
- Physics
- 17 June 2018

We consider non-stationary localized oscillations of an infinite Bernoulli-Euler beam. The beam lies on the Winkler foundation with a point inhomogeneity (a concentrated spring with negative… Expand

5 1- PDF

NON-STATIONARY PROBLEMS IN DYNAMICS OF A STRING ON AN ELASTIC FOUNDATION SUBJECTED TO A MOVING LOAD

- S. Gavrilov
- Physics
- 6 May 1999

Abstract The dynamics of an infinite string on an elastic foundation subjected to a moving load is under investigation in this paper. The load is modelled by a moving concentrated force. Both… Expand

32 1

Wave propagation in a semi-infinite heteromodular elastic bar subjected to a harmonic loading

- S. Gavrilov, G. Herman
- Mathematics
- 24 September 2012

Abstract In this paper we deal with one-dimensional wave propagation in a material that reacts differently to compression and tension. A possible approach to describe such materials is the… Expand

12 1

Application of the method of direct separation of motions to the parametric stabilization of an elastic wire

- E. Shishkina, I. Blekhman, M. Cartmell, S. Gavrilov
- Mathematics
- 6 February 2008

The paper considers the application of the method of direct separation of motions to the investigation of distributed systems. An approach is proposed which allows one to apply the method directly to… Expand

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Heat transfer in a one-dimensional harmonic crystal in a viscous environment subjected to an external heat supply

- S. Gavrilov, A. Krivtsov, D. Tsvetkov
- Physics
- 3 October 2017

We consider unsteady heat transfer in a one-dimensional harmonic crystal surrounded by a viscous environment and subjected to an external heat supply. The basic equations for the crystal particles… Expand

19- PDF

A strain-softening bar with rehardening revisited

- E. Shishkina, S. Gavrilov
- Mathematics
- 1 February 2016

We revisit, from the standpoint of the modern theory of phase transitions, the classical problem of stretching of a strain-softening bar with rehardening, considered earlier by Belytschko et al. We… Expand

5

Steady-state kinetic temperature distribution in a two-dimensional square harmonic scalar lattice lying in a viscous environment and subjected to a point heat source

- S. Gavrilov, A. Krivtsov
- Physics, Mathematics
- 7 January 2019

We consider heat transfer in an infinite two-dimensional square harmonic scalar lattice lying in a viscous environment and subjected to a heat source. The basic equations for the particles of the… Expand

5- PDF

The effective mass of a point mass moving along a string on a Winkler foundation

- S. Gavrilov
- Mathematics
- 2006

A simple in form and physically clear asymptotic solution of the problem of the motion (without friction) of a point mass acted upon by a specified external force on a string on a Winkler foundation… Expand

19

Evolution of a trapped mode of oscillation in a continuous system with a concentrated inclusion of variable mass

- D. Indeitsev, S. Gavrilov, Y. Mochalova, E. Shishkina
- Physics
- 1 December 2016

This paper deals with transverse oscillations of an infinite string on the Winkler foundation with a point inertial inclusion of variable mass.

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