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Asymptotic Multiple Scale Method in Time Domain pdf

Book Description:

This book presents novel research that employs analytical approaches to investigate nonlinear characteristics of various dynamic processes. The asymptotic method and the multiple scale method are shown to be quick and easy way to think about mechanics that applies to both engineering and physics.

Beginning with new material on developing cutting-edge asymptotic and multiple-scale methods, the book introduces this method in the time domain and provides examples of the vibrations of systems. Written throughout, it uses innovative graphics to exemplify complex concepts such as nonlinear stationery and nonstationary processes, various resonances, and jump-pull-in phenomena. It also demonstrates the simplification of problems through the use of mathematical modeling by employing limiting phase trajectories to quantify nonlinear phenomena. The book demonstrates how each system is modeled and how it behaves under various conditions, which is especially relevant to structural mechanics in rods, cables, beams, plates, and shells, as well as mechanical objects commonly found in everyday devices such as mobile phones and cameras.

It will be of interest to engineers and professionals in mechanical engineering and structural engineering, along with those interested in vibrations and dynamics. It will also be useful to those studying engineering, math, and physics.

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

Author(s): Jan Awrejcewicz, Roman Starosta, Grażyna Sypniewska-Kamińska

Publisher: CRC Press, Year: 2022

ISBN: 1032219416,9781032219417


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