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Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
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Multiscale Multibody Dynamics - Motion Formalism Implementation (Hardcover, 1st ed. 2023)
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Multiscale Multibody Dynamics - Motion Formalism Implementation (Hardcover, 1st ed. 2023)
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This book presents a novel theory of multibody dynamics with
distinct features, including unified continuum theory, multiscale
modeling technology of multibody system, and motion formalism
implementation. All these features together with the introductions
of fundamental concepts of vector, dual vector, tensor, dual
tensor, recursive descriptions of joints, and the higher-order
implicit solvers formulate the scope of the book’s content. In
this book, a multibody system is defined as a set consisted of
flexible and rigid bodies which are connected by any kinds of
joints or constraints to achieve the desired motion. Generally, the
motion of multibody system includes the translation and rotation;
it is more efficient to describe the motion by using the dual
vector or dual tensor directly instead of defining two types of
variables, the translation and rotation separately. Furthermore,
this book addresses the detail of motion formalism and its finite
element implementation of the solid, shell-like, and beam-like
structures. It also introduces the fundamental concepts of
mechanics, such as the definition of vector, dual vector, tensor,
and dual tensor, briefly. Without following the Einstein summation
convention, the first- and second-order tensor operations in this
book are depicted by linear algebraic operation symbols of row
array, column array, and two-dimensional matrix, making these
operations easier to understand. In addition, for the integral of
governing equations of motion, a set of ordinary differential
equations for the finite element-based discrete system, the book
discussed the implementation of implicit solvers in detail and
introduced the well-developed RADAU IIA algorithms based on
post-error estimation to make the contents of the book complete.
The intended readers of this book are senior engineers and graduate
students in related engineering fields.
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