Modeling, Analysis And Control Of Dynamical Systems With Friction And Impacts

Przednia okładka
#N/A, 7 lip 2017 - 276
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This book is aimed primarily towards physicists and mechanical engineers specializing in modeling, analysis, and control of discontinuous systems with friction and impacts. It fills a gap in the existing literature by offering an original contribution to the field of discontinuous mechanical systems based on mathematical and numerical modeling as well as the control of such systems. Each chapter provides the reader with both the theoretical background and results of verified and useful computations, including solutions of the problems of modeling and application of friction laws in numerical computations, results from finding and analyzing impact solutions, the analysis and control of dynamical systems with discontinuities, etc. The contents offer a smooth correspondence between science and engineering and will allow the reader to discover new ideas. Also emphasized is the unity of diverse branches of physics and mathematics towards understanding complex piecewise-smooth dynamical systems. Mathematical models presented will be important in numerical experiments, experimental measurements, and optimization problems found in applied mechanics.

 

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Spis treści

1 Friction Laws in Modeling of Dynamical Systems
1
2 Transient FrictionInduced Vibrations in a 2DOF Braking System
49
3 Numerical Estimation of the StickSlip Transitions
61
4 Smooth Approximation of Discontinuous StickSlip Solutions
77
5 Bifurcations in Planar Discontinuous Systems
89
6 Occurrence of Chaos in Forced Impact Systems
95
7 Impacts in Chaotic Motion of a Particle on a NonFlat Billiard
127
8 Parameter Identification of a Double Torsion Pendulum with Friction
159
10 Almost Periodic Solutions for Jumping Discontinuous Systems
181
11 Solution of Nonlinear Algebraic Equations in Analysis of Stability
191
12 Control of a Wheeled Double Inverted Pendulum with Friction
197
13 Tracking Control of a Discontinuous System with StickSlip Friction
209
14 Controlling Stochastically Excited Systems with an Approximate Discontinuity
221
Bibliography
235
Index
253
Prawa autorskie

9 Identification of TimeVarying Damping of a Parametric Pendulum with Friction
167

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Informacje o autorze (2017)

Paweł Olejnik (Lodz University of Technology, Poland);Jan Awrejcewicz (Lodz University of Technology, Poland);Michal Fečkan (Comenius University in Bratislava, Slovakia)

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