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Beskrivning
To help one understand the analytical solutions, the generalized harmonic balance method for periodic motions in polynomial nonlinear systems is briefly reviewed first, and then the semi-analytical method for periodic motions in any nonlinear systems is presented briefly too, which is also called the implicit mapping method.
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.”
Innehållsförteckning
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.