World Scientific Series on Nonlinear Science, Series A - Vol. 28
APPLIED NONLINEAR DYNAMICS AND CHAOS OF MECHANICAL SYSTEMS WITH DISCONTINUITIES
edited by Marian Wiercigroch (University of Aberdeen, Scotland, UK) & Bram de Kraker (Eindhoven University of Technology, The Netherlands)
Rapid developments in nonlinear dynamics and chaos theory have led to publication of many valuable monographs and books. However, most of these texts are devoted to the classical nonlinear dynamics systems, for example the Duffing or van der Pol oscillators, and either neglect or refer only briefly to systems with motion-dependent discontinuities. In engineering practice a good part of problems is discontinuous in nature, due to either deliberate reasons such as the introduction of working clearance, and/or the finite accuracy of the manufacturing processes.
The main objective of this volume is to provide a general methodology for describing, solving and analysing discontinuous systems. It is compiled from the dedicated contributions written by experts in the field of applied nonlinear dynamics and chaos.
The main focus is on mechanical engineering problems where clearances, piecewise stiffness, intermittent contact, variable friction or other forms of discontinuity occur. Practical applications include vibration absorbers, percussive drilling of hard materials and dynamics of metal cutting.
Contents:
- Preliminaries
- Mathematical Models of Mechanical Systems with
Discontinuities
- Temporal and Spatial Discontinuity Transformations
- Extensions of Cell Mapping for Discontinuous Systems
- Impact Oscillator
- Dynamics of Piecewise Linear Oscillators
- Quenching of Self-Excited Vibrations by Impact Damper
- Dynamic Phenomena in Gear Boxes
- Rigorous Methods and Numerical Results for Dry Friction Problems
- Forced Self-Excited Vibration with Dry Friction
- Stick–Slip and the Phase-Space Reconstruction
- Multidegree of Freedom Systems with Dry Friction
- Dynamic Instabilities in Spinning Disks
- Impacts and Dry Friction
- Nonlinear Dynamics of Orthogonal Metal Cutting
- Dynamics of Ultrasonic Drilling of Hard Materials
Readership: Mechanical engineers.
"... this volume provides readers with an excellent treatment of such discontinuous systems and can be a good source of ideas to attack those systems effectively ... one is immediately obliged to recognize that it is in fact a series of fifteen jewels, which one would hardly find in the relevant more mathematically oriented literature."
| 464pp |
Pub. date: May 2000 |
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