Asymptotic Multiple Scale Method in Time Domain: Multi-Degree-of-Freedom Stationary and Nonstationary Dynamics

This book provides a novel approach to exploring nonlinear features exhibited by dynamic processes,using analytical methods such as the asymptotic method and multiple scale method. It is relevant to disciplines across engineering and physics and introduces this method in the time domain,with examples of vibrations of systems. It also demonstrates the simplification of problems through mathematical modelling and employs innovative graphics to illustrate complex concepts.

Format: Hardback
Length: 396 pages
Publication date: 28 April 2022
Publisher: Taylor & Francis Ltd

This comprehensive book delves into groundbreaking research that employs analytical approaches to examine the fascinating nonlinear characteristics displayed by diverse dynamic processes. With applications spanning engineering and physics, the combination of the asymptotic method and the multiple scale method emerges as a highly effective and user-friendly approach to mechanics.

The book begins by introducing novel developments in asymptotic methods and multiple scale methods, providing a solid foundation for the subsequent exploration. It then introduces this method in the time domain, showcasing its application through examples of vibrations in systems. Throughout, the text is written in a clear and concise manner, utilizing innovative graphics to illustrate complex concepts such as nonlinear stationary and nonstationary processes, various resonances, and jump pull-in phenomena. Moreover, the book demonstrates the simplification of problems through the use of mathematical modeling, employing limiting phase trajectories to quantify nonlinear phenomena.

With a particular focus on structural mechanics, the book models and analyzes various systems, including rods, cables, beams, plates, and shells, as well as mechanical objects commonly found in everyday devices like mobile phones and cameras. It sheds light on how each system is constructed and how it behaves under different conditions, making it invaluable for engineers and professionals in mechanical engineering and structural engineering. Additionally, this book will appeal to those with interests in vibrations and dynamics, as well as those studying engineering mathematics and physics.

Weight: 920g
Dimension: 234 x 156 (mm)
ISBN-13: 9781032219417