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Computational Kinematics (Paperback, Softcover reprint of hardcover 1st ed. 1993)
Loot Price: R4,237
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Computational Kinematics (Paperback, Softcover reprint of hardcover 1st ed. 1993)
Series: Solid Mechanics and Its Applications, 28
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The aim of this book is to provide an account of the state of the
art in Com putational Kinematics. We understand here under this
term, that branch of kinematics research involving intensive
computations not only of the numer ical type, but also of a
symbolic nature. Research in kinematics over the last decade has
been remarkably ori ented towards the computational aspects of
kinematics problems. In fact, this work has been prompted by the
need to answer fundamental question s such as the number of
solutions, whether real or complex, that a given problem can admit.
Problems of this kind occur frequently in the analysis and
synthesis of kinematic chains, when finite displacements are
considered. The associated models, that are derived from kinematic
relations known as closure equations, lead to systems of nonlinear
algebraic equations in the variables or parameters sought. What we
mean by algebraic equations here is equations whereby the unknowns
are numbers, as opposed to differen tial equations, where the
unknowns are functions. The algebraic equations at hand can take on
the form of multivariate polynomials or may involve trigonometric
functions of unknown angles. Because of the nonlinear nature of the
underlying kinematic models, purely numerical methods turn out to
be too restrictive, for they involve iterative procedures whose
convergence cannot, in general, be guaranteed. Additionally, when
these methods converge, they do so to only isolated solu tions, and
the question as to the number of solutions to expect still
remains."
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