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This book is aimed primarily towards physicists and mechanical
engineers specializing in modeling, analysis, and control of
discontinuous systems with friction and impacts. It fills a gap in
the existing literature by offering an original contribution to the
field of discontinuous mechanical systems based on mathematical and
numerical modeling as well as the control of such systems. Each
chapter provides the reader with both the theoretical background
and results of verified and useful computations, including
solutions of the problems of modeling and application of friction
laws in numerical computations, results from finding and analyzing
impact solutions, the analysis and control of dynamical systems
with discontinuities, etc. The contents offer a smooth
correspondence between science and engineering and will allow the
reader to discover new ideas. Also emphasized is the unity of
diverse branches of physics and mathematics towards understanding
complex piecewise-smooth dynamical systems. Mathematical models
presented will be important in numerical experiments, experimental
measurements, and optimization problems found in applied mechanics.
This book describes the interplay of mechanics, electronics,
electrotechnics, automation and biomechanics. It provides a broad
overview of mechatronics systems ranging from modeling and
dimensional analysis, and an overview of magnetic, electromagnetic
and piezo-electric phenomena. It also includes the investigation of
the pneumo-fluid-mechanical, as well as electrohydraulic servo
systems, modeling of dynamics of an atom/particle embedded in the
magnetic field, integrity aspects of the Maxwell's equations, the
selected optimization problems of angular velocity control of a DC
motor subjected to chaotic disturbances with and without stick-slip
dynamics, and the analysis of a human chest adjacent to the elastic
backrest aimed at controlling force to minimize relative
compression of the chest employing the LQR.This book provides a
theoretical background on the analysis of various kinds of
mechatronics systems, along with their computational analysis,
control, optimization as well as laboratory investigations.
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