Analytical Dynamics of Nonlinear Rotors
Springer Nature Switzerland AG (Verlag)
978-981-96-1328-1 (ISBN)
This book is a monograph about analytical and semi-analytical dynamics of nonlinear rotors. The analytical and semi-analytical solutions of periodic motion in nonlinear rotors are discussed. The generalized harmonic balance method for periodic motions to chaos in polynomial nonlinear systems is reviewed first and the semi-analytical method for periodic motions is reviewed second, which is also called as the implicit mapping method. The semi-analytical method can be used to any types of nonlinear dynamical systems. Analytical solutions for period-m motions in a buckled, nonlinear Jeffcott rotor system are obtained. The analytical expressions of periodic solutions are developed. The corresponding stability and bifurcation analyses of period-m motions are completed. A bifurcation tree of period-1 motion to chaos in a flexible nonlinear rotor system is presented through period-1 to period-8 motions. A more accurate model of oil film forces is derived from Reynolds equations. The mechanical models of 2-DOF and 4-DOF nonlinear journal bearing rotor systems are established for a lower level amplitude transverse vibration. Such studies are to help one understand the nonlinear dynamics of rotor systems.
Prof. Yeyin Xu is now an assistant professor at Xi'an Jiaotong University, China. Prof. Jianzhe Huang is now an associate professor at School of Aeronautics and Astronautics, Shanghai Jiao Tong University, China. Prof. Albert C. J. Luo is a distinguished research professor at the Department of Mechanical Engineering at Southern Illinois University Edwardsville, USA. He received his Ph.D. degree from the University of Manitoba, Canada, in 1995. His research focuses on nonlinear dynamics, nonlinear mechanics, and nonlinear differential equations. He has published over 50 monographs, 20 edited books and more than 400 journal articles and conference papers in these fields. He received the Paul Simon Outstanding Scholar Award in 2008 and an ASME fellowship in 2007. He was an editor for Communications in Nonlinear Science and Numerical Simulation for 14 years and an associate editor for ASME Journal of Computational and Nonlinear Dynamics, and International Journal of Bifurcation and Chaos. He now serves as a co-editor of the Journal of Applied Nonlinear Dynamics and editor of various book series, including “Nonlinear Systems and Complexity” and “Nonlinear Physical Science.”
Introduction.- Analytical Methods for Periodic Motions.- Periodic Solutions for Buckled Nonlinear Jeffcott Rotors.- Semi-analytic Solutions of Periodic Motions in Nonlinear Jeffcott Rotors.- Modeling for Journal Bearing Rotors.
| Erscheinungsdatum | 01.05.2025 |
|---|---|
| Reihe/Serie | Nonlinear Physical Science |
| Zusatzinfo | 79 Illustrations, color; 21 Illustrations, black and white |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Technik ► Fahrzeugbau / Schiffbau |
| Technik ► Luft- / Raumfahrttechnik | |
| Technik ► Maschinenbau | |
| Schlagworte | Analytical solutions • Fully nonlinear oil-film rotor systems • Nonlinear Dynamics • Nonlinear frequency-amplitude characteristics • Nonlinear Jeffcott Rotor systems • Nonlinear Rotor System • Periodic motions to chaos • Rotor dynamics • Semi-Analytical Solutions • stability and bifurcations |
| ISBN-10 | 981-96-1328-0 / 9819613280 |
| ISBN-13 | 978-981-96-1328-1 / 9789819613281 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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