Theory of Vibration Protection, Softcover reprint of the original 1st ed. 2016

This text is an advancement of the theory of vibration protection of mechanical systems with lumped and distributed parameters.  The book offers various concepts and methods of solving vibration protection problems, discusses the advantages and disadvantages of different methods, and the fields of their effective applications.

 Fundamental approaches of vibration protection, which are considered in this book, are the passive, parametric and optimal active vibration protection. The passive vibration protection is based on vibration isolation, vibration damping and dynamic absorbers. Parametric vibration protection theory is based on the Shchipanov-Luzin invariance principle.  Optimal active vibration protection theory is based on the Pontryagin principle and the Krein moment method.

The book also contains special topics such as suppression of vibrations at the source of their occurrence and the harmful influence of vibrations on humans.<

 Numerous examples, which illustrate the theoretical ideas of each chapter, are included.

This book is intended for graduate students and engineers. It is assumed that a reader has working knowledge of theory of vibrations, differential equations, andcomplex analysis.

About the Authors.

Igor A Karnovsky, Ph.D., Dr. Sci., is a specialist in structural analysis, theory of vibration and optimal control of vibration. He has 40 years  of experience in research, teaching and consulting in this field, and is the author of more than 70 published scientific papers, including two books in Structural Analysis (published with Springer in 2010-2012) and three handbooks in Structural Dynamics (published with McGraw Hill in 2001-2004). He also holds a number of vibration-control-related patents.

Evgeniy Lebed, Ph.D., is a specialist in applied mathematics and engineering. He has 10 years of experience in research, teaching and consulting in this field. The main sphere of his research interests are qualitative theory of differential equations, integral transforms and frequency-domain analysis with application to image and signal processing. He is the author of 15 published scientific papers and a US patent (2015).

Igor A Karnovsky, Ph.D., Dr. Sci., is a specialist in structural analysis, theory of vibration and optimal control of vibration. He has 40 years  of experience in research, teaching and consulting in this field, and is the author of more than 70 published scientific papers, including two books in Structural Analysis (published with Springer in 2010-2012) and three handbooks in Structural Dynamics (published with McGraw Hill in 2001-2004). He also holds a number of vibration-control-related patents.

Evgeniy Lebed, Ph.D., is a specialist in applied mathematics and engineering. He has 10 years of experience in research, teaching and consulting in this field. The main sphere of his research interests are qualitative theory of differential equations, integral transforms and frequency-domain analysis with application to image and signal processing. He is the author of 15 published scientific papers and a US patent (2015).

Provides the reader with the set of necessary tools required for successful orientation in the complex problem of vibration protection

Illustrates exemplary VP problems and solutions, giving general formulations of problems and solutions so they can be easily applied to various fields of engineering

Includes questions for self-control in every chapter and exercises throughout the book

Offers pioneered development of known concepts and results, including parametric vibration protection based on the Shchipanov –Luzin’s invariance principle and considerations of real, physical characteristics of actuators in the problems of optimal active vibration elimination

Contains numerous VP problems, concerning different types of mechanical systems, different types of excitations and principal methods and approaches for suppressing vibrations

Discusses different models of human operators subjected to shock and vibrations