Journal ArticleDOI
The evolution of a trapped mode of oscillations in a “string on an elastic foundation-moving inertial inclusion” system
S. N. Gavrilov,D. A. Indeitsev +1 more
TLDR
In this article, it is shown that natural vibrations, localized around the inclusion, are possible in a system consisting of an infinite string on an elastic foundation-concentrated inertial inclusion which moves at a constant, subcritical velocity.About:
This article is published in Journal of Applied Mathematics and Mechanics.The article was published on 2002-01-01. It has received 24 citations till now. The article focuses on the topics: Critical ionization velocity & Multiple-scale analysis.read more
Citations
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Journal ArticleDOI
Paradox of a particle's trajectory moving on a string
TL;DR: In this paper, the authors considered the problem of string vibration under a moving mass and proposed a second-order matrix differential equation (SDE) to reduce the problem to a second order differential equation, which is characteristic of all features of the critical, subcritical and overcritical motion.
Journal ArticleDOI
Space–time approach to numerical analysis of a string with a moving mass
TL;DR: In this paper, the interaction of the moving mass/supporting structure is described in a local coordinate system of the space-time finite element domain, and the resulting characteristic matrices include inertia, Coriolis and centrifugal forces.
Journal ArticleDOI
The effective mass of a point mass moving along a string on a Winkler foundation
TL;DR: In this article, a simple 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 is obtained, taking into account the wave drag on the motion.
Journal ArticleDOI
A revisitation of the paradox of discontinuous trajectory for a mass particle moving on a taut string
TL;DR: In this article, a nonlinear extended regularized model of taut string carrying a moving point mass is proposed with the intent to contribute to the solution of the paradox of particle's discontinuous trajectory.
Journal ArticleDOI
Evolution of a trapped mode of oscillation in a continuous system with a concentrated inclusion of variable mass
D. A. Indeitsev,D. A. Indeitsev,S. N. Gavrilov,S. N. Gavrilov,Yu. A. Mochalova,E. V. Shishkina +5 more
TL;DR: In this article, the transverse oscillations of an infinite string on the Winkler foundation with a point inertial inclusion of variable mass were studied, where the mass of the string was assumed to be fixed.
References
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Book
Perturbation Methods
Ali H. Nayfeh,Vimal Singh +1 more
TL;DR: This website becomes a very available place to look for countless perturbation methods sources and sources about the books from countries in the world are provided.
Journal ArticleDOI
Non-stationary problems in dynamics of a string on an elastic foundation subjected to a moving load
TL;DR: In this paper, the dynamics of an infinite string on an elastic foundation subjected to a moving load is investigated and the load is modelled by a moving concentrated force using both analytical and numerical methods.
Journal ArticleDOI
Nonlinear investigation of the possibility to exceed the critical speed by a load on a string
TL;DR: In this paper, the authors investigated the possibility of overcoming the critical speed of a moving concentrated load on a string by taking into account the coupling between transversal and longitudinal waves and contact friction between the string and the load.
Journal ArticleDOI
Transient resonance of an ideal string under a load moving with varying speed
TL;DR: In this paper, the transverse velocity of an ideal string is obtained when the string experiences a point load moving with varying speed, and two cases are evaluated in which the load either accelerates or decelerates through the characteristic string speed.