Concept

Euler's equations (rigid body dynamics)

Related publications (44)

Evolution of heterogeneous stress distributions created by slip precursors in numerical simulations of frictional interfaces

Jean-François Molinari, Mathilde Edmée Lucette Radiguet de la Bastaie, David Simon Kammer

Understanding how a frictional interface fails, and how past ruptures will affect the propagation of the following ruptures is fundamental to a better comprehension of earthquake behavior. In that sense, numerical simulations provide a useful tool to study ...

2013

Stability of Equilibria for the so(4) Free Rigid Body

Tudor Ratiu, Murat Turhan

The stability for all generic equilibria of the Lie-Poisson dynamics of the so(4) rigid body dynamics is completely determined. It is shown that for the generalized rigid body certain Cartan subalgebras (called of coordinate type) of so(n) are equilibrium ...

2012

Gauge Transformations, Twisted Poisson Brackets and Hamiltonization of Nonholonomic Systems

In this paper we study the problem of Hamiltonization of nonholonomic systems from a geometric point of view. We use gauge transformations by 2-forms (in the sense of evera and Weinstein in Progr Theoret Phys Suppl 144:145 154 2001) to construct different ...

Springer Verlag2012

Numerical simulation of a sailing boat

Matteo Lombardi

In this work, various aspects concerning the numerical simulation of a sailing boat are investigated. The attention is focused on simulation of the free-surface, the fluid-structure interaction (FSI) between wind and sails, and the dynamics of the whole bo ...

EPFL2012

First impressions: Gait cues drive reliable trait judgements

John Christian Thoresen

Personality trait attribution can underpin important social decisions and yet requires little effort; even a brief exposure to a photograph can generate lasting impressions. Body movement is a channel readily available to observers and allows judgements to ...

Elsevier Science Bv2012

Foil bearing design guidelines for improved stability

Jürg Alexander Schiffmann

Experimental evidence in the literature suggests that foil bearing supported rotors can suffer from sub-synchronous vibration. While dry-friction between top foil and bump foil is thought to provide structural damping, sub-synchronous vibration is still an ...

2012

Miniature active damping stage for scanning probe applications in ultra high vacuum

Klaus Kern, Maximilian Assig, Carola Strasser

Scanning probe microscope (SPM) experiments demand a low vibration level to minimize the external influence on the measured signal. We present a miniature six-degree of freedom active damping stage based on a Gough-Stewart platform (hexapod) which is posit ...

2012

Dynamics of Slip Fronts at Frictional Interfaces: Analysis of Slip Precursors

Jean-François Molinari, Mathilde Edmée Lucette Radiguet de la Bastaie, David Simon Kammer

The transition from sticking to sliding of frictional interfaces is a phenomenon of importance for many physical systems in nature as well as in engineering. This transition is marked by the occurrence of local slip events, often called precursors, which a ...

2012

The hydrodynamic Chaplygin sleigh

We consider the motion of rigid bodies in a potential fluid subject to certain nonholonomic constraints and show that it is described by Euler-Poincare-Suslov equations. In the two-dimensional case, when the constraint is realized by a blade attached to th ...

2010

Symmetry Reduced Dynamics of Charged Molecular Strands

Tudor Ratiu, François Gay-Balmaz

The equations of motion are derived for the dynamical folding of charged molecular strands (such as DNA) modeled as flexible continuous filamentary distributions of interacting rigid charge conformations. The new feature is that these equations are nonloca ...

Springer-Verlag2010

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