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Personal information

Arne Nordmark

PhD, Docent
Phone: int+46 8 790 71 92
Fax: int+46 8 796 98 50
E-mail: nordmark@mech.kth.se
WWW: Personal homepage


Education

PhD in mechanics 1992. Docent in mechanics 1999.

Professional history

At KTH since 1984.

Research and Professional Activities

Research in the dynamics of mechanical systems with discontinuous or impulsive forces

Publications

Please note that this list might not be complete. Follow each article link for additional authors.
Year Title
2013 Magnetic energy of surface currents on a torus
Progress In Electromagnetics Research B 46 357 - 378
2012 Instability of thin hyper-elastic space membranes under pressure loads
Comput Methods Appl Mech Engrg  
2011 Activation dynamics in the optimization of targeted movements
Computers & Structures 89 968-976
2011 Magnetic field and current are zero inside ideal conductors
Progress In Electromagnetics Research B 27 187-212
2011 Friction-induced reverse chatter in rigid-body mechanisms with impacts
IMA Journal of Applied Mathematics 76(1) 85--119
2011 Friction-induced reverse chatter in rigid-body mechanisms with impacts
Proceedings of the 7th European Nonlinear Dynamics Conference (ENOC 2011)  
2010 Temporal finite element formulation of optimal control in mechanisms
Comput Methods Appl Mech Engrg 199 1783-1792
2010 Free-time optimization of targeted movements based on temporal FE approximation
Proc. CST2010, Valencia  
2010 Static deformation of a heavy spring due to gravity and to centrifugal force
European journal of physics 31 603-609
2010 The comfortable roller coaster — on the shape of tracks with a constant normal force
European journal of physics 31 1307 - 1317
2009 Simulation and stability analysis of impacting systems with complete chattering
Nonlinear Dynamics 58 85--106
2009 Discontinuity-induced bifurcations in systems with impacts and friction: Discontinuities in the impact law
International Journal of Non-Linear Mechanics 44 1011-1023
2008 Discontinuity-induced bifurcations of equilibria in piecewise-smooth and impacting dynamical systems
Physica D 237 119--136
2008 Bifurcations in Nonsmooth Dynamical Systems
SIAM Review 50(4) 629-701
2007 The skipping rope curve
European journal of physics 28 241-247
2006 A codimension-two scenario of sliding solutions in grazing-sliding bifurcations
Nonlinearity 19(1) 1-26
2006 Two-parameter discontinuity-induced bifurcations of limit cycles: classification and open problems
International Journal of bifurcation and chaos . 16(3) 601-629
2004 Hamiltonian of a homogeneous two-component plasma
Phys. Rev. E. 69 036404, 1-9
2003 Sliding bifurcations: a novel mechanism for the sudden onset of chaos in dry friction oscillators
International Journal of bifurcation and chaos . 13(10) 2935-2948
2002 Breaking Symmetries and Constraints: Transitions from 2D to 3D in Passive Walkers
Multibody System Dynamics  
2002 Low-velocity Impacts of Quasi-periodic Oscillations
Chaos, Solitons & Fractals 14 2
2002 Bifurcation of dynamical Systems with sliding: derivations of normal-form mappings
Physica D 170 175-205
2002 Discontinuity mappings for vector fields with higher order continuity
Dynamical Systems 17 359--376
2001 On a Normal-Form Analysis for a Class of Passive Bipedal Walkers
Int J. of bifurcation and Chaos 11(9) 2411-2425
2001 Grazing Bifurcation of Initially Quasi-periodic System Attractors
Proceedings of 18th Biennial Conference on Mechanical Vibration and Noise.  
2001 Existence of Periodic Orbits in Grazing Bifurcations of Impacting Mechanical Oscillators
Nonlinearity 14 1517-1542
2000 On the Origin and Bifurcations of Stick-slip Oscillations
Physica D 136 280-302
2000 Repetitive Gait of Passive Bipedal Mechanisms in a Three-Dimensional Environment
J. Biomech. Eng  
1999 3D Passive Walkers: Finding Periodic Gaits in the presence of Discontinuities
Nonlinear Dynamics  
1999 Systems with a preferred spin direction
Proc. R. Soc. Lond. A 455 933-941
1999 Experiments on the Onset of Impacting Motion Using a Pipe Conveying Fluid
Nonlinear Dynamics 19 261-271
1998 Discontinuities in Friction Modeling
Information missing  
1997 Universal limit mapping in grazing bifurcations
Phys. Rev. E. 55 266-270
1997 Bifurcations caused by grazing incidence in many degrees of freedom impact oscillators.
Proc. R. Soc. Lond. A 453 
1996 Some results on the electrostatic energy of ionic crystals.
Can J. Chem 74 885-891
1996 Hopprepskurvan (The skipping-rope curve)
Elementa 79 142-148
1995 Existance of periodic solutions in grazing bifurcation of impacting mechanical oscillators.
International conference on nonlinear dynamics, chaotic and complex systems (NDCCS´95).  
1994 Experimental investigation of some consequences of low velocity impact in the chaotic dynamics of a mechanical systems.
Phil. Trans R. Soc. London A 347 439-448
1994 A computer implementation for the interactive study of cell mappings.
Nonlinearity and chaos in engineering mechanics  
1991 Non-periodic motion caused by grazing incidence in an impact oscillator
J. Sound & Vibration 145 279-297

Projects

Please note that this list might not be complete.
Period Title Area
2010-2012 Muscle-driven human movements Biomechanics
2009-2010 Balloon mechanics Theoretical and computational mechanics
2002-2006 Modelling, simulation and control of nonsmooth dynamical systems - SICONOS Theoretical and computational mechanics
2002-2005 New measurement techniques of complex attractors of mechanical systems Theoretical and computational mechanics
1997-2002 Human and machine locomotion Theoretical and computational mechanics
1995-2015 Analytical and statistical mechanics for systems of many charged particles Theoretical and computational mechanics
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Last changed: 2006-08-24