Forced Oscillations of Multidimensional Highly Nonlinear Systems

Metrikin Vladimir Semenovich, doctoral candidate of physical and mathematical sciences, is Associate Professor, born on 03/26/1938. Metrikin Vladimir Semenovich’s research interests include mathematical modeling of highly nonlinear dynamic systems, development of numerical analytical methods and software for describing complex periodic regimes and deterministic chaos.  Igumnov Leonid Aeksandrovich, Doctor of Physical and Mathematical Sciences, is Professor born on 11/04/1959. Igumnov Leonid Aeksandrovich is Head of the Department of Theoretical, Computer, and Experimental Mechanics at Lobachevsky State University of Nizhny Novgorod, Russia. Igumnov Leonid Aeksandrovich’s research interests experimental models, methods, and hardware and software for monitoring and obtaining strength assessments of the operational states of materials and structures under extreme loading conditions. Igumnov Leonid Aeksandrovich is Editor-in-Chief of the journal “Problems of Strength and Plasticity.”

• 1. Introduction.- 2. Dynamics of two-mass vibro-impact mechanisms with a fixed limiter.- 3. Research into multi-mass vibro-impact system.- 4. Investigating the effect of viscous friction forces on stability of vibro-impact systems.- 5. Dynamics of vibro-impact systems with randomly changing parameters.