Theory of Vibration Protection (PDF)

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, and complex 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).