Introduction to Experimental Nonlinear Dynamics A Case Study in Mechanical Vibration
“Introduction to Experimental Nonlinear Dynamics: A Case Study in Mechanical Vibration” by Lawrence N. Virgin, published by Cambridge University Press on March 28, 2000, offers a comprehensive exploration of nonlinear behavior and chaos through a focused case study in mechanical vibration. Spanning 256 pages, this edition serves as an accessible introduction to the principles of nonlinear dynamics, beginning with foundational concepts and progressing to more complex phenomena. The book illustrates the transition from linear to nonlinear behavior using a cart-on-a-track oscillator experiment, highlighting the diverse applications of nonlinear dynamics across various fields.
Readers will find that the text delves into the intricacies of chaotic behavior in systems, emphasizing the experimental aspects of mechanical vibration. By examining how the oscillator responds to increasing excitation, the book reveals the spectrum of nonlinear behavior, from simple decay to chaotic motion. This work is particularly suited for advanced undergraduate and graduate students, as well as practicing engineers, who seek to understand the fundamental principles of mechanics and wave behavior within the context of nonlinear dynamics.
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Nonlinear behavior can be found in such highly disparate areas as population biology and aircraft wing flutter. Largely because of this extensive reach, nonlinear dynamics and chaos have become very active fields of study and research. This book uses an extended case study – an experiment in mechanical vibration – to introduce and explore the subject of nonlinear behavior and chaos. Beginning with a review of basic principles, the text then describes a cart-on-a-track oscillator and shows what happens when it is gradually subjected to greater excitation, thereby encountering the full spectrum of nonlinear behavior, from simple free decay to chaos. Experimental mechanical vibration is the unifying theme as the narrative evolves from a local, linear, largely analytical foundation toward the rich and often unpredictable world of nonlinearity. Advanced undergraduate and graduate students, as well as practising engineers, will find this book a lively, accessible introduction to the complex world of nonlinear dynamics.
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