Publications related to Euler's equations (rigid body dynamics)

Buoyancy-driven convection of droplets on hot nonwetting surfaces

The global linear stability of a water drop on hot nonwetting surfaces is studied. The droplet is assumed to have a static shape and the surface tension gradient is neglected. First, the nonlinear steady Boussinesq equation is solved to obtain the axisymme ...

AMER PHYSICAL SOC2021

Stability and Unbalance Analysis of Rigid Rotors Supported by Spiral Groove Bearings: Comparison of Different Approaches

Jürg Alexander Schiffmann, Elia Iseli

The dynamic behavior of spiral-grooved gas bearing supported four degrees-of-freedom (DOF) rotors is investigated by means of linearized bearing force coefficients and full time-integrated transient analysis. The transient method consists of a state-space ...

2021

Topology design of general tensegrity with rigid bodies

Yafeng Wang

This study presents a general approach to the topology design of tensegrities with rigid bodies. To the best of the authors' knowledge, all existing topology design methods of tensegrities focus on tensegrities that only consist of members carrying axial f ...

2020

Inkjet Printing of Complex Soft Machines with Densely Integrated Electrostatic Actuators

Herbert Shea, Samuel Rosset, Samuel Schlatter, Giulio Grasso

A multimaterial inkjet printing method for integrated soft multifunctional machines is reported, combining dense arrays of electrostatic actuators, multilayer electrical routing, and complex networks of microfluidic channels in one printing process. Most a ...

2020

A priori error for unilateral contact problems with Lagrange multipliers and isogeometric analysis

Annalisa Buffa, Pablo Antolin Sanchez, Mathieu Jonathan Fabre

In this paper, we consider unilateral contact problem without friction between a rigid body and deformable one in the framework of isogeometric analysis. We present the theoretical analysis of the mixed problem. For the displacement, we use the pushforward ...

2019

Inertial manipulation of bubbles in rectangular microfluidic channels

Demetri Psaltis, Pooria Hadikhani, François Gallaire, Gioele Mariano Nicolò Balestra, Miguel Antonio Modestino, Seyyed Mohammad Hosseini Hashemi, Lailai Zhu

Inertial microfluidics is an active field of research that deals with crossflow positioning of the suspended entities in microflows. Until now, the majority of the studies have focused on the behavior of rigid particles in order to provide guidelines for m ...

2018

The isostatic 3-body problem: a complete solution

Simon Nessim Henein, Florent Cosandier, Ilan Vardi, François Barrot, Johannes Richard Cornelis Geerit Kruis

Kinematic couplings are used when two rigid bodies need to be repeatedly and accurately positioned with respect to each other. They allow for sub-micron positioning repeatability by suppressing play and reducing strains in the bodies. Typical applications ...

2017

Ion heating and flows in a high power helicon source

Ivo Furno, Alan Howling, Rémy Jacquier, Riccardo Agnello, Gennady Plyushchev

We report experimental measurements of ion temperatures and flows in a high power, linear, magnetized, helicon plasma device, the Resonant Antenna Ion Device (RAID). Parallel and perpendicular ion temperatures on the order of 0.6 eV are observed for an rf ...

Amer Inst Physics2017

Assessment of the lower limb soft tissue artefact at marker-cluster level with a high-density marker set during walking

Kamiar Aminian, Arnaud Barré

The estimation of joint kinematics from skin markers is hindered by the soft tissue artefact (STA), a well-known phenomenon although not fully characterized. While most assessments of the STA have been performed based on the individual skin markers displac ...

Elsevier2017

Design, analysis, testing and applications of two-body and three-body kinematic mounts

Johannes Richard Cornelis Geerit Kruis

Kinematic couplings are used when two rigid bodies need to be repeatedly and accurately positioned with respect to each other. They allow for sub-micron positioning repeatability by suppressing play and reducing strains in the bodies. Typical applications ...

EPFL2016

The U (n) free rigid body: Integrability and stability analysis of the equilibria

Tudor Ratiu

A natural extension of the free rigid body dynamics to the unitary group U (n) is considered. The dynamics is described by the Euler equation on the Lie algebra u(n), which has a bi-Hamiltonian structure, and it can be reduced onto the adjoint orbits, as i ...

Elsevier2015

Muscle Moment-Arms: A Key Element in Muscle-Force Estimation

Alexandre Terrier, Philippe Müllhaupt, Alain Farron, Christoph Anselm Engelhardt, David Ingram

A clear and rigorous definition of muscle moment-arms in the context of musculoskeletal systems modelling is presented, using classical mechanics and screw theory. The definition provides an alternative to the tendon excursion method, which can lead to inc ...

Taylor & Francis2015

Inertial microfluidic programming of microparticle-laden flows for solution transfer around cells and particles

Patrick Alain Sandoz, Léo Hamed Amini

Control of particles/cells and the surrounding fluid is enabling toward the purification of complex cellular samples, which still remains a bottleneck for point-of-care diagnostic devices. We explore a newly developed approach to engineer fluid stream moti ...

Springer Heidelberg2015

Soft tissue artifact distribution on lower limbs during treadmill gait: Influence of skin markers' location on cluster design

Kamiar Aminian, Arnaud Barré

© 2015 Elsevier Ltd. Segment poses and joint kinematics estimated from skin markers are highly affected by soft tissue artifact (STA) and its rigid motion component (STA. RM ). While four marker-clusters could decrease the STA non-rigid motion d ...

Elsevier2015

Musculoskeletal Model of the Human Shoulder for Joint Force Estimation

David Ingram

Human beings like all organisms, are subject to a variety of diseases. Musculoskeletal diseases such as arthritis, that affect our muscles and bones, are particularly debilitating in that they considerably limit our ability to interact with our environment ...

EPFL2015

The role of Rayleigh Waves in Granular Solids

Alessandro Spadoni, Bart Van Damme

Wave propagation in granular solids is found to have at least two regimes: a low-frequency ballistic signal and a high-frequency diffusive tail. The latter is attributed to granules clapping or elastic waves within the granules themselves. The low frequenc ...

Amer Inst Physics2013

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 : free surface, fluid-structure interaction and shape optimization

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