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JOURNAL OF NONLINEAR SCIENCE, ISSN 0938-8974, 06/2020, Volume 30, Issue 3, pp. 831 - 850
We derive and analyze a three-dimensional model of a figure skater. We model the skater as a three-dimensional body moving in space subject to a non-holonomic... 
MATHEMATICS, APPLIED | MECHANICS | SYMMETRIES | REDUCTION | Mechanics of sports | Non-holonomic dynamics | EQUATIONS | NONHOLONOMIC SYSTEMS | Integrable systems | CONSERVATION-LAWS | PHYSICS, MATHEMATICAL
Journal Article
Meccanica, ISSN 0025-6455, 12/2018, Volume 53, Issue 15, pp. 3839 - 3868
The motion of a rolling ball actuated by internal point masses that move inside the ball’s frame of reference is considered. The equations of motion are... 
Symmetry reduction | Rolling balls | Nonholonomic mechanics | Classical Mechanics | Civil Engineering | Automotive Engineering | Mechanical Engineering | Physics | CHAPLYGINS SPHERE | MECHANICS | MOTION | NONHOLONOMIC MODEL | SYSTEMS | Control systems | Analysis
Journal Article
Journal Article
Regular and Chaotic Dynamics, ISSN 1560-3547, 3/2019, Volume 24, Issue 2, pp. 145 - 170
... Acting on a Rolling Ball Actuated by Internal Point Masses Vakhtang Putkaradze 1* and Stuart M. Rogers 2** 1 Department of Mathematical and Statistical Sciences... 
rolling balls | rolling disks | holonomic mechanics | 37J60 | Mathematics | 70E60 | Dynamical Systems and Ergodic Theory | 70E18 | nonholonomic mechanics | MATHEMATICS, APPLIED | MECHANICS | DYNAMICS | PHYSICS, MATHEMATICAL | Physics - Classical Physics
Journal Article
Scientific Reports, ISSN 2045-2322, 09/2016, Volume 6, Issue 1, pp. 32996 - 32996
...- gas interface Arindam Phani1, Vakhtang Putkaradze1,2, John E. Hawk1, Kovur Prashanthi1 & Thomas Thundat1 According to Stokes’ law, a moving solid surface... 
NANOPARTICLES | CANTILEVERS | MULTIDISCIPLINARY SCIENCES | FREQUENCY | REYNOLDS-NUMBER FLOW | NANOMECHANICAL RESONATORS | VISCOSITY | FORCES | MODEL | OSCILLATOR | STOCHASTIC RESONANCE | Viscosity | Media | Stochasticity | Velocity | Kinematics
Journal Article
Journal of Fluids and Structures, ISSN 0889-9746, 04/2018, Volume 78, pp. 146 - 174
We study the linear stability of elastic collapsible tubes conveying fluid, when the equilibrium configuration of the tube is helical. A particular case of... 
Elastic tubes conveying fluid | Linear stability | Collapsible tubes | Variational methods | Helical equilibria | INSTABILITY | EQUATIONS | PIPES | FLOW | ENGINEERING, MECHANICAL | UNSTABLE OSCILLATION | MECHANICS | MOTION | DYNAMICS
Journal Article
Solar Energy, ISSN 0038-092X, 12/2013, Volume 98, pp. 85 - 98
•We propose a radical new design for a solar chimney.•An inflatable stack of toroidal bladders replaces the traditional rigid chimney.•Analytical study of the... 
Solar chimneys | Solar thermal | Optimal design | MODEL | ENERGY & FUELS
Journal Article
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 9/2010, Volume 197, Issue 3, pp. 811 - 902
The equations of motion are derived for the dynamical folding of charged molecular strands (such as DNA) modeled as flexible continuous filamentary... 
Mechanics | Physics, general | Fluid- and Aerodynamics | Statistical Physics, Dynamical Systems and Complexity | Theoretical, Mathematical and Computational Physics | Physics | EQUATIONS | MATHEMATICS, APPLIED | MECHANICS | RODS | REDUCTION | SEMIDIRECT PRODUCTS | Mechanical engineering | Analysis | DNA
Journal Article
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 2018, Volume 474, Issue 2209, p. 20170479
This paper formulates a variational approach for treating observational uncertainty and/or computational model errors as stochastic transport in dynamical... 
Non-holonomic constraints | Transport noise | Stochastic dynamics | EQUATIONS | transport noise | non-holonomic constraints | MULTIDISCIPLINARY SCIENCES | stochastic dynamics | 122 | 1009
Journal Article
Comptes rendus - Mécanique, ISSN 1631-0721, 11/2016, Volume 344, Issue 11-12, pp. 769 - 775
We derive a variational approach for discretizing fluid–structure interactions, with a particular focus on the dynamics of fluid-conveying elastic tubes. Our... 
Tubes avec écoulement interne | Fluid–structure interaction | Intégrateurs variationnels | Variational integrators | Fluid-conveying tubes | Interaction fluide–structure | UNSTABLE OSCILLATION | MECHANICS | PIPES | STABILITY | Environmental law | Analysis | Numerical analysis
Journal Article
Physical Review Letters, ISSN 0031-9007, 12/2012, Volume 109, Issue 24, p. 244303
One of the most challenging and basic problems in elastic rod dynamics is a description of rods in contact that prevents any unphysical self-intersections.... 
KIRCHHOFF RODS | SYSTEMS | PHYSICS, MULTIDISCIPLINARY | DNA | SELF-CONTACT | Models, Theoretical | Elasticity | Friction | Surface Properties | Chaotic Dynamics | Dynamical Systems | Biological Physics | Nonlinear Sciences | Mathematics | Physics
Journal Article
International Journal of Dynamics and Control, ISSN 2195-268X, 6/2015, Volume 3, Issue 2, pp. 189 - 194
... Kubota · Vakhtang Putkaradze · Takashi Hikihara Received: 26 June 2014 / Revised: 25 July 2014 / Accepted: 3 August 2014 / Published online: 20 August 2014... 
Engineering | Vibration, Dynamical Systems, Control | Hilbert transform | Control | Duffing oscillator | Energy harvesting | Synchronization | Complexity
Journal Article
Physical Review Letters, ISSN 0031-9007, 12/2010, Volume 105, Issue 24, p. 244302
We consider the ordered and disordered dynamics for monolayers of rolling self-interacting particles modeling water molecules. The rolling constraint... 
TIPPE TOPS | SYSTEMS | ICE | PHYSICS, MULTIDISCIPLINARY
Journal Article
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 01/2015, Volume 471, Issue 2173, p. 20140539
The use of solar chimneys for energy production was suggested more than 100 years ago. Unfortunately, this technology has not been realized on a commercial... 
Geometric mechanics | Lagrangian reduction | Optimal control | Solar energy | Symmetry | solar energy | SYMMETRIES | EXACT GEOMETRIC-THEORY | symmetry | MULTIDISCIPLINARY SCIENCES | geometric mechanics | EQUATIONS | optimal control | SYSTEMS
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 2006, Volume 220, Issue 2, pp. 183 - 196
Journal Article
Nature, ISSN 0028-0836, 07/2004, Volume 430, Issue 6996, pp. 165 - 165
A jet of fluid flowing down a partially wetting, inclined plane usually meanders but - by maintaining a constant flow rate - meandering can be suppressed,... 
Journal Article
Physical Review Letters, ISSN 0031-9007, 05/2009, Volume 102, Issue 21, p. 215502
Extraction and deposition of single atoms using an atomic force microscope tip is a promising technique for building nanostructures. Previous theoretical... 
PHYSICS, MULTIDISCIPLINARY | SCANNING TUNNELING MICROSCOPE | TIP
Journal Article