Concept

Analytical mechanics

Related publications (151)

Ambient space formulations and statistical mechanics of holonomically constrained Langevin systems

The most classic approach to the dynamics of an n-dimensional mechanical system constrained by d independent holonomic constraints is to pick explicitly a new set of (n - d) curvilinear coordinatesparametrizingthe manifold of configurations satisfying the ...

Springer-Verlag2011

Immersive singularity-free full-body interactions with reduced marker set

Ronan Boulic, Daniel Raunhardt

Despite the large success of games grounded on movement-based interactions the current state of full-body motion capture technologies still prevents the exploitation of precise interactions with complex environments. The first key requirement in the line o ...

2011

Efficient sampling avoids the exponential wall in classical simulations of fidelity

Jiri Vanicek, Tomas Zimmermann, Cesare Mollica

We analyze the efficiency of available algorithms for the simulation of classical fidelity and show that their computational costs increase exponentially with the number of degrees of freedom. Then we present an algorithm for which the number of trajectori ...

American Physical Society2011

Asynchronous variational integrators as a mechanical tool for dimensioning thin-shell structures

Yves Weinand, Tudor Ratiu

This is an interdisciplinary research project. This proposal presents research directions in the mechanics of thin-shell and rod theory by using the formalism of discrete mechanics applied to the study of structures in civil engineering. Its aims are to co ...

2011

On the analytic-numeric treatment of weakly singular integrals on arbitrary polygonal domains

Juan Ramon Mosig, Sergio Lopez Pena

An alternative analytical approach to calculate the weakly singular free-space static potential integral associated to uniform sources is presented. Arbitrary oriented flat polygons are considered as integration domains. The technique stands out by its mat ...

EMW Publishing2011

Lagrange-Poincare field equations

Tudor Ratiu, François Gay-Balmaz

The Lagrange-Poincare equations of classical mechanics are cast into a field theoretic context together with their associated constrained variational principle. An integrability/reconstruction condition is established that relates solutions of the original ...

2011

Introduction to Geometric Mechanics and AVI

Yves Weinand, Tudor Ratiu, François Marie Alain Demoures

The goal of this short presentation is to introduce Geometric Mechanics as well as Asynchronous Variational Integrators (AVI). The geometric point of view in mechanics combined with solid analysis has been a phenomenal success in linking various diverse ar ...

2010

Friction force: from mechanics to thermodynamics

Christian Gruber, Christian Ferrari

We study some mechanical problems in which a friction force is acting on a system. Using the fundamental concepts of state, time evolution and energy conservation, we explain how to extend Newtonian mechanics to thermodynamics. We arrive at the two laws of ...

2010

The Momentum Map, Symplectic Reduction and an Introduction to Brownian Motion

The underlying goal of this Master's thesis is of laying down, in so far as possible, the foundations for later work in Geometric Stochastic Mechanics. The first part is a presentation of symplectic reduction, going through the momentum map and culminating ...

2010

On a class of mean field solutions of the Monge problem for perfect and self-interacting systems

Philippe Choquard

The Monge problem [23], [27], as reformulated by Kantorovich [19], [20] is that of the transportation, at a minimum "cost", of a given mass distribu- tion from an initial to a final position during a given time interval. It is an optimal transport problem ...

EPFL2010

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