A5064164525- Piezoelectric Actuators and Control
- Nonlinear Dynamics and Pattern Formation
- Chaos control and synchronization
- Stability and Controllability of Differential Equations
- Control and Stability of Dynamical Systems
- Magnetic Properties and Applications
- Elasticity and Wave Propagation
- Force Microscopy Techniques and Applications
- stochastic dynamics and bifurcation
- Adaptive Control of Nonlinear Systems
- Quantum optics and atomic interactions
- Semiconductor Quantum Structures and Devices
- Vibration and Dynamic Analysis
- Model Reduction and Neural Networks
- Quantum and electron transport phenomena
- Dynamics and Control of Mechanical Systems
- Mathematical Dynamics and Fractals
- Quantum chaos and dynamical systems
- Advanced Theoretical and Applied Studies in Material Sciences and Geometry
- Lanthanide and Transition Metal Complexes
- Vibration Control and Rheological Fluids
- Extremum Seeking Control Systems
- Mechanical and Optical Resonators
- Solidification and crystal growth phenomena
- Mechanics and Biomechanics Studies
Voronezh State University
2015-2024
Foundation for Advanced Research
2019-2021
Target (United States)
2021
Air Force Academy named after Professor NE Zhukovsky and Yu.A. Gagarin
2013-2019
United States Air Force Academy
2013-2019
Siberian Federal University
2016
Voronezh State Agrarian University named after Emperor Peter the Great
2011
Abstract The Preisach model is a well-known of hysteresis in the modern nonlinear science. This paper provides an overview works that are focusing on study dynamical systems from various areas (physics, economics, biology), where plays key role formalization dependencies. Here we describe input-output relations classical operator, its basic properties, methods constructing output using demagnetization function formalism, generalization operator for case vector relations. Various...
In this work we consider the dynamics of a mechanical system under external force with damping part taking into account hysteretic nature damper. As mathematical base damper use Bouc-Wen model. The simulation results in form force-transfer function and demonstrates "efficiency" comparison nonlinear viscous
The paper is focused on the study of dynamics oscillating systems described by differential equations with added hysteretic nonlinearities in case when a loop bypass clockwise. For model harmonic oscillator external force, conditions for existence unbounded solutions are inferred from theorem. viscous and Coulomb frictions, under perturbations, set self-oscillation mode obtained.
This paper is dedicated to comparative analysis of nonlinear damping in the oscillating systems. More specifically, we present particular results for linear and viscous dampers, fractional damper, as well hysteretic damper (Duffing-like) We consider a constructive mathematical model with properties on basis Ishlinskii-Prandtl model. Numerical observable characteristics, such force transmission function “force-displacement” are obtained analyzed both cases periodic affection, impulse...
This study is focused on the investigation of stabilization problem for system coupled inverted pendula. The corresponding algorithm control based feedback principles and demonstrates some features in physical implementation process. In discrete case, wave-like motion appears leads to an observable interference pattern. continuous provided allows simulate process initially unstable solid medium. these case conditions, ensuring presented form restrictions wave motion. Also, within small...
In this article, a model of an energy harvester, the mechanical part which is inverted pendulum, proposed. We investigated stability linearized system. It was proven that stabilizing control based on feedback principle, enables stabilization have identified zones and amplitude–frequency characteristics. second generalization dynamic system for case hysteresis friction in joint considered. The role nonlinear effects within design Preisach phenomenological Bouc–Wen shown.
The article considers a hysteretic model of consumer behaviour in mono-product markets. Demand generation with regard to an individual is modeled using non-ideal relay inverted thresholds. Therefore, the sales rate defined as analogue Preisach converter. problem optimal production, storage, and distribution goods, taking into account nature demand curve. reduced non-classical control non-linearities. latter solved Pontryagin’s maximum principle. adopted economic based on binary relationship...
In this paper we consider the mathematical model of hysteretic damper based on Ishlinsky-Prandtl model. The numerical results for observable characteristics such as force transmission function and “force-displacement” are obtained analyzed. comparison efficiency non-linear viscous is also presented discussed.