Titlebook: Symbolic Modeling of Multibody Systems; Jean-Claude Samin,Paul Fisette Book 2003 Springer Science+Business Media Dordrecht 2003 kinematics

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0925-0042 e, 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 conta

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Dynamics of rigid bodies example, this procedure will show its limitations if applied manually, when the number of bodies becomes large. Finally, we shall present a variational approach based on the virtual power principle and use this second approach to treat the same example.

AMPLE

Railway vehicles: wheel/rail modelge number of parameters (shape of the profiles in contact, contact pressure, relative contact velocity, physical properties of the materials, ...) leads to complex theories such as those developed by Kalker [45].

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Mechanisms: cam/follower modelrface producing a given follower displacement that minimizes a certain cost (such as material volume or inertia of moving parts, ...) or maximizes a certain profit (force transmission, life span, ...).

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Book 2003evant 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),

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Dynamics of rigid bodieseedom will be introduced and illustrated via simple examples. Then, we shall develop the Newton-Euler procedure which produces the equations of motion relating the motion of the bodies (i.e. the evolution of the generalized coordinates) to the forces/torques applied to the system. Illustrated via an

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Road vehicles: wheel/ground modeloperties (stability, riding comfort, etc.). From the mechanical point of view, a vehicle is intrinsically of a multibody nature. Depending on the application, the model refinement can vary noticeably, while being rigorous with respect to the envisaged analysis. For instance, one could wish to check

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