Books > Science & Mathematics > Physics > Classical mechanics > Analytical mechanics
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Rational Kinematics (Hardcover, 1988 ed.)
Loot Price: R2,499
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Rational Kinematics (Hardcover, 1988 ed.)
Series: Springer Tracts in Natural Philosophy, 34
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The purpose of this book is to present kinematics of rigid bodies
and systems in an axiomatic framework, stressing invariant
relations. The audience addressed is engineers, mathematicians and
computer scientists working in research and development that
involves rigid-body motions. The areas of application are robotics,
mechanism design, spacecraft dynamics, computer graphics, solid
modelling, finite elements, etc. The most important features of the
book are its axiomatic approaches on invariant principles, thus
departing from a common but obscure practice of studying general
principles based on component-form relations. The book fills the
gap between rigid-body kinematics and the theory of kinematic
chains, including results published for the first time. The reader
can derive the following benefits from this book: a sound
theoretical formulation of rigid-body kinematics following an
axiomatic presentation, i.e., definitions, theorems and corollaries
are given in logical order, the necessary proofs being included
after each theorem and corollary. Invariant relations between the
time rates of change of the rotation invariants and angular
velocity and acceleration are derived. These can be useful to those
writing computational algorithms for the simulation, control and
graphic display of motions of mechanical systems in a great variety
of fields.
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