Displaying similar documents to “Dynamic model of multi-rigid-body systems based on particle dynamics with recursive approach.”

A theorem for rigid motions in Post-Newtonian celestial mechanics.

J.M. Gambi, P. Zamorano, P. Romero, M.L. García del Pino (2003)

RACSAM

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The velocity field distribution for rigid motions in the Born?s sense applied to Post-Newtonian Relativistic Celestial Mechanics is examined together with its compatibility with the Newtonian distribution.

On the motion of a body in thermal equilibrium immersed in a perfect gas

Kazuo Aoki, Guido Cavallaro, Carlo Marchioro, Mario Pulvirenti (2008)

ESAIM: Mathematical Modelling and Numerical Analysis

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We consider a body immersed in a perfect gas and moving under the action of a constant force. Body and gas are in thermal equilibrium. We assume a stochastic interaction body/medium: when a particle of the medium hits the body, it is absorbed and immediately re-emitted with a Maxwellian distribution. This system gives rise to a microscopic model of friction. We study the approach of the body velocity to the limiting velocity V ∞ and prove that, under suitable smallness assumptions,...

Semantic incommensurability and empirical comparability : the case of Lorentz and Einstein

Martin Carrier (2004)

Philosophia Scientiae

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Semantic incommensurability is understood as non-translatability of concepts taken from different theories. My aim is to give a rational reconstruction of the notion of incommensurability underlying the writings of Feyerabend and the later Kuhn. I claim that incommensurability can be reconstructed on this basis as a coherent conception and that relevant instances can be identified. The translation failure between incommensurable concepts arises from the impossibility to jointly fulfil...

A general on-the-fly algorithm for modifying the kinematic tree hierarchy

Jakub Stępień, Andrzej Polański, Konrad Wojciechowski (2012)

International Journal of Applied Mathematics and Computer Science

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When conducting a dynamic simulation of a multibody mechanical system, the model definition may need to be altered during the simulation course due to, e.g., changes in the way the system interacts with external objects. In this paper, we propose a general procedure for modifying simulation models of articulated figures, particularly useful when dealing with systems in time-varying contact with the environment. The proposed algorithm adjusts model connectivity, geometry and current state,...

Mechanics

Stefan Banach

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CONTENTS Preface................ III CHAPTER I. THEORY OF VECTORS I. Operations on vectors § 1. Preliminary definitions.................. 1 § 2. Components of a vector.................. 2 § 3. Sum and difference of vectors.................. 3 § 4. Product of a vector by a number.................. 4 § 5. Components of a sum and product.................. 5 § 6. Resolution of a vector.................. 6 § 7. Scalar product.................. 7 § 8. Vector product.................. 9 § 9....

On a two-body problem of classical relativistic electrodynamics.

A. Casal, Rosario Martinez Herrero, M.A. Vences (1980)

Revista Matemática Hispanoamericana

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Formulating the two-body problem of classical relativistic electrodynamics in terms of action at a distance and using retarded potential, the equations of one-dimensional motion are functional differential equations of the retarded type. For this kind of equations, in general it is not enough to specify instantaneous data to specify unique trajectories. Nevertheless, Driver (1969) has shown that under special conditions for these electrodynamic equations, there exists an unique solution...