- Dynamics and Control of Mechanical Systems
- Mechanics and Biomechanics Studies
- Chaos control and synchronization
- Nonlinear Dynamics and Pattern Formation
- Mechanical and Thermal Properties Analysis
- Gear and Bearing Dynamics Analysis
- Vibration and Dynamic Analysis
- Quantum chaos and dynamical systems
- Mechanical Engineering and Vibrations Research
- Mechanical Engineering Research and Applications
- Sports Dynamics and Biomechanics
- Elasticity and Wave Propagation
- Bladed Disk Vibration Dynamics
- Adhesion, Friction, and Surface Interactions
- Advanced machining processes and optimization
- Geotechnical and Geomechanical Engineering
- Granular flow and fluidized beds
- Advancements in Materials Engineering
- Fluid Dynamics Simulations and Interactions
- Experimental and Theoretical Physics Studies
- Engineering Technology and Methodologies
- Iterative Learning Control Systems
- Electromagnetic Launch and Propulsion Technology
- Vibration Control and Rheological Fluids
- Force Microscopy Techniques and Applications
Lodz University of Technology
2007-2025
University of Łódź
1996-2013
This paper presents a novel, simple method of Lyapunov Exponents (LEs) spectrum estimation for non-smooth and discontinuous systems. The presented algorithm works continuous-time dynamical systems, as well discrete maps. Its simplicity flexibility enables to estimate LEs complex, systems in an easy manner. starts with comprehensive review the state-of-art methods computation Then, novel is introduced. Further on, examples its use are provided. applications include maps, mechanical...
This paper examines the circumstances under which a one-degree-of-freedom approximate system can be employed to predict dynamics of cantilever beam comprising an elastic element with significant mass and concentrated embedded at its end, impacting moving rigid base. A reference model was constructed using finite method, lowest-order proposed that could useful in engineering practice for rapidly ascertaining system, particularly predicting both periodic chaotic motions. The number elements...
In this paper we show some aspects of the dynamical behavior a two-degrees-of-freedom system forced with an external harmonic force, which impacts cause reduction vibration amplitude basic system. The purpose presented investigations is to determine coefficient restitution and damping fender that ensure required degree in these vibrations. regions existence bifurcation diagrams motion trajectories different kinds impact are analyzed. damper vibrations compared linear damper. have been...
An application of soft and hard impact models to represent vibro-impact systems is reconsidered. The conditions that the two collision have satisfy be equivalent in terms energy dissipation are discussed key features resulting demonstrated. Then, it examined what effect will exerted on behavior a system when an additional elastic-damping element external forcing used. Both methods shown yield same results for stiff base with low rate dissipation; however, model applied either stiffness or...
A vibrating system with impacts, which can be applied to model the cantilever beam a mass at its end and two-sided impacts against harmonically moving frame, is investigated. The objective of this study determine in regions parameters characterizing system, motion oscillator periodic stable. An analytical method obtain stable solutions equations on basis Peterka's approach presented. results investigations have been compared numerical simulations. ranges determined analytically numerically...
Abstract Soft and hard impact models applied to modeling of vibro-impact systems with a moving base are discussed. The conditions under which two collision equivalent in terms equal energy dissipation derived. These differ from those presented the literature. It is shown that case stiff, harmonically low rate dissipation, both methods yield same results, but an application soft model either stiffness or even stiff high leads different results ones for model.