Quantitative analysis methods for strongly nonlinear vibration systems

Author: Chen Shuhui
Publisher:
Publish Date: 2007-01-01
Features: This book is a systematic summary of the research achievements of the author and his collaborators in the field of strong nonlinear vibrations. It comprehensively introduces the Incremental Harmonic Balance Method (IHB) for solving periodic solutions of strong nonlinear vibrations, as well as various extended perturbation methods, including the improved L-P method, elliptic function L-P method, generalized harmonic function KBM method, generalized harmonic function averaging method, generalized harmonic function L-P method, generalized harmonic function multiscale method, and perturbation-increment method. These methods provide powerful tools for studying various strong nonlinear vibration problems. For each method, the book strives to elucidate its innovative ideas, briefly presents its formula derivation, provides application examples, and introduces the latest research trends in related methods internationally. This book is a valuable reference for graduate students, teachers, and research and technical personnel engaged in nonlinear vibration research, teaching, and engineering design.