The author developed this text over many years, teaching
graduate courses in advanced dynamics and flexible multibody
dynamics at the Daniel Guggenheim School of Aerospace Engineering
of the Georgia Institute of Technology.
The book presents a unified treatment of rigid body dynamics,
analytical dynamics, constrained dynamics, and flexible multibody
dynamics. A comprehensive review of numerical tools used to enforce
both holonomic and nonholonomic constraints is presented. Advanced
topics such as Maggi s, index-1, null space, and Udwadia and Kalaba
s formulations are presented because of their fundamental
importance in multibody dynamics. Methodologies for the
parameterization of rotation and motion are discussed and
contrasted. Geometrically exact beams and shells formulations,
which have become the standard in flexible multibody dynamics, are
presented and numerical aspects of their finite element
implementation detailed. Methodologies for the direct solution of
the index-3 differential-algebraic equations characteristic of
constrained multibody systems are presented. It is shown that with
the help of proper scaling procedures, such equations are not more
difficult to integrate than ordinary differential equations.
This book is illustrated with numerous examples and should prove
valuable to both students and researchers in the fields of rigid
and flexible multibody dynamics."
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