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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).
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).
The ability to efficiently and sparsely represent seismic data is
becoming an increasingly important problem in geophysics. Over the
last 30 years many transforms such as wavelets, curvelets,
contourlets, surfacelets, shearlets, and many other types ofx- lets
have been developed. Such transform were leveraged to resolve this
issue. In this work we compare the properties of four of these
commonly used transforms, namely the shift-invariant wavelets,
complex wavelets, curvelets and surfacelets. We also explore the
performance of these transforms for the problem of recovering
seismic wavefields from incomplete physical and frequency
measurements.
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