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Modeling and analysing multibody systems require a comprehensive
understanding of the kinematics and dynamics of rigid bodies. In
this volume, the relevant fundamental principles are first reviewed
in detail and illustrated in conformity with the multibody
formalisms that follow. Whatever the kind of system (tree-like
structures, closed-loop mechanisms, systems containing flexible
beams or involving tire/ground contact, wheel/rail contact, etc),
these multibody formalisms have a common feature in the proposed
approach, viz, the symbolic generation of most of the ingredients
needed to set up the model.
The symbolic approach chosen, specially dedicated to multibody
systems, affords various advantages: it leads to a simplification
of the theoretical formulation of models, a considerable reduction
in the size of generated equations and hence in resulting computing
time, and also enhanced portability of the multibody models towards
other specific environments. Moreover, the generation of multibody
models as symbolic toolboxes proves to be an excellent pedagogical
medium in teaching mechanics.
Modeling and analysing multibody systems require a comprehensive
understanding of the kinematics and dynamics of rigid bodies. In
this volume, the relevant fundamental principles are first reviewed
in detail and illustrated in conformity with the multibody
formalisms that follow. Whatever the kind of system (tree-like
structures, closed-loop mechanisms, systems containing flexible
beams or involving tire/ground contact, wheel/rail contact, etc),
these multibody formalisms have a common feature in the proposed
approach, viz, the symbolic generation of most of the ingredients
needed to set up the model.
The symbolic approach chosen, specially dedicated to multibody
systems, affords various advantages: it leads to a simplification
of the theoretical formulation of models, a considerable reduction
in the size of generated equations and hence in resulting computing
time, and also enhanced portability of the multibody models towards
other specific environments. Moreover, the generation of multibody
models as symbolic toolboxes proves to be an excellent pedagogical
medium in teaching mechanics.
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