Modeling, Analysis And Control Of Dynamical Systems With Friction And Impacts#N/A, 7 lip 2017 - 276 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. |
Spis treści
| 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 |
| 253 | |
9 Identification of TimeVarying Damping of a Parametric Pendulum with Friction | 167 |
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Kluczowe wyrazy i wyrażenia
amplitude analysis analyzed angular applied approximation assumed Battelli and Feckan belt bifurcation bifurcation diagrams body boundary brake block Chapter computed constant contact surface Coulomb friction damping dependent described differential equations displacement dry friction dynamic friction dynamical system elastic equilibrium estimation excitation Figure free decay frequency friction coefficient friction force friction law friction model homoclinic orbit homoclinic solution impact homoclinic impact solution intentionally left blank inverted pendulum investigated kinetic friction linear Lyapunov exponents mass mathematical mechanical system method nonlinear normal force obtained occur oscillating parameters perturbed Poincaré map poſt problem relative velocity rotation self-excited vibrations shown in Fig sliding velocity slip phase ſº solution of Eq static friction stick phase stick–slip stick–slip motion stiffness system with dry systems with friction tangent points Theorem Tºm torque torsion torsion pendulum trajectory two-degree-of-freedom values vector zero
Informacje bibliograficzne
| Tytuł | Modeling, Analysis And Control Of Dynamical Systems With Friction And Impacts Tom 92 z World Scientific Series On Nonlinear Science Series A |
| Autorzy | Pawel Olejnik, Jan Awrejcewicz, Michal Feckan |
| Wydawca | #N/A, 2017 |
| ISBN | 9813225300, 9789813225305 |
| Liczba stron | 276 |
| Eksportuj cytowanie | BiBTeX EndNote RefMan |