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
Room: 2620 Osquars backe 18


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.

Teaching Activity

Leader for the following list of courses.
For the complete list of courses at mechanics, see Courses .

CourseProg.TitleKTH Info
SG1301 COPEN Mekanik, Påbyggnadskurs SG1301
SG2150 All Rigid body dynamics SG2150


Please note that this list might not be complete. Follow each article link for additional authors.

2016Relativistic version of the Feynman–Dyson–Hughes derivation of the Lorentz force law and Maxwell’s homogeneous equations
European journal of physics 37 055201—1-8 (Published)
2016Quantitative analysis of the angular dynamics of a single spheroid in simple shear flow at moderate Reynolds numbers
Physical Review Fluids 1 044201 (Published)
2015Instability Investigation on Fluid- loaded Pre-stretched Cylindrical Membranes.
Proceedings of Royal Society A 471 20150016 (Published)
2015Parametric Stability Investigations for Hydro-statically Loaded Membranes.
Computers & Structures   (Submitted)
2015Resonances of a submerged fluid-filled spherically isotropic microsphere with partial-slip interface condition
Journal of Applied Physics   (Accepted)
2015Instability of thin circular membranes subjected to hydro-static loads
International Journal of Non-linear Mechanics   (Accepted)
2015Parametric stability investigations for hydro-statically loaded membranes
Computers and structures   (Accepted)
2015Wrinkling of Cylindrical Membranes with Non-uniform Thickness.
European Journal of Mechanics-A/Solids 54 1-12 (Submitted)
2015Numerical analysis of the angular motion of a neutrally buoyant spheroid in shear flow at small Reynolds numbers
Physical Review E 92 063022 (Published)
2014Free and Constrained Inflation of a Pre-stretched Cylindrical Membrane.
Proceedings of Royal Society A 470 20140282 (Published)
2014Finite Inflation of Fluid-filled Pre- stretched Cylindrical Membranes.
Proc. of the 27th Nordic Seminar on Computational Mechanics 27 224-227 (Published)
2014Non-unique response of Mooney-Rivlin model in bi-axial membrane stress
Computers and structures 144 12-22 (Published)
2014Simulation of rowing in an optimization context
Multibody System Dynamics 32 337-356 (Published)
2014Consequences of a double zero eigenvalue for the rotational motion of a prolate spheroid in shear flow
67th Annual Meeting of the APS Division of Fluid Dynamics, Nov. 23–25, 2014, San Francisco, CA.    (Accepted)
2013Magnetic energy of surface currents on a torus
Progress In Electromagnetics Research B 46 357 - 378 (Published)
2013Optimizatin of multiple phase human movements
Multibody System Dynamics 30 461-484 (Published)
2012Instability of hyper-elastic balloon-shaped space membranes under pressure loads
Comput Methods Appl Mech Engrg 237-240 118-129 (Published)
2011Friction-induced reverse chatter in rigid-body mechanisms with impacts
Proceedings of the 7th European Nonlinear Dynamics Conference (ENOC 2011)   (Published)
2011Activation dynamics in the optimization of targeted movements
Computers & Structures 89 968-976 (Published)
2011Magnetic field and current are zero inside ideal conductors
Progress In Electromagnetics Research B 27 187-212 (Published)
2011Friction-induced reverse chatter in rigid-body mechanisms with impacts
IMA Journal of Applied Mathematics 76(1) 85--119 (Published)
2010Free-time optimization of targeted movements based on temporal FE approximation
Proc. CST2010, Valencia   (Accepted)
2010The comfortable roller coaster — on the shape of tracks with a constant normal force
European journal of physics 31 1307 - 1317 (Published)
2010Temporal finite element formulation of optimal control in mechanisms
Comput Methods Appl Mech Engrg 199 1783-1792 (Published)
2010Static deformation of a heavy spring due to gravity and to centrifugal force
European journal of physics 31 603-609 (Published)
2009Simulation and stability analysis of impacting systems with complete chattering
Nonlinear Dynamics 58 85--106 (Published)
2009Discontinuity-induced bifurcations in systems with impacts and friction: Discontinuities in the impact law
International Journal of Non-Linear Mechanics 44 1011-1023 (Published)
2008Discontinuity-induced bifurcations of equilibria in piecewise-smooth and impacting dynamical systems
Physica D 237 119--136 (Published)
2008Bifurcations in Nonsmooth Dynamical Systems
SIAM Review 50(4) 629-701 (Published)
2007The skipping rope curve
European journal of physics 28 241-247 (Published)
2006A codimension-two scenario of sliding solutions in grazing-sliding bifurcations
Nonlinearity 19(1) 1-26 (Published)
2006Two-parameter discontinuity-induced bifurcations of limit cycles: classification and open problems
International Journal of bifurcation and chaos . 16(3) 601-629 (Published)
2004Hamiltonian of a homogeneous two-component plasma
Phys. Rev. E. 69 036404, 1-9 (Published)
2003Sliding bifurcations: a novel mechanism for the sudden onset of chaos in dry friction oscillators
International Journal of bifurcation and chaos . 13(10) 2935-2948 (Published)
2002Low-velocity Impacts of Quasi-periodic Oscillations
Chaos, Solitons & Fractals 14 2 (Published)
2002Breaking Symmetries and Constraints: Transitions from 2D to 3D in Passive Walkers
Multibody System Dynamics   (Accepted)
2002Bifurcation of dynamical Systems with sliding: derivations of normal-form mappings
Physica D 170 175-205 (Published)
2002Discontinuity mappings for vector fields with higher order continuity
Dynamical Systems 17 359--376 (Published)
2001On a Normal-Form Analysis for a Class of Passive Bipedal Walkers
Int J. of bifurcation and Chaos 11(9) 2411-2425 (Published)
2001Grazing Bifurcation of Initially Quasi-periodic System Attractors
Proceedings of 18th Biennial Conference on Mechanical Vibration and Noise.   (Published)
2001Existence of Periodic Orbits in Grazing Bifurcations of Impacting Mechanical Oscillators
Nonlinearity 14 1517-1542 (Published)
2000On the Origin and Bifurcations of Stick-slip Oscillations
Physica D 136 280-302 (Published)
2000Repetitive Gait of Passive Bipedal Mechanisms in a Three-Dimensional Environment
J. Biomech. Eng   (Accepted)
1999Systems with a preferred spin direction
Proc. R. Soc. Lond. A 455 933-941 (Published)
19993D Passive Walkers: Finding Periodic Gaits in the presence of Discontinuities
Nonlinear Dynamics   (Accepted)
1999Experiments on the Onset of Impacting Motion Using a Pipe Conveying Fluid
Nonlinear Dynamics 19 261-271 (Published)
1998Discontinuities in Friction Modeling
Information missing   (Accepted)
1997Universal limit mapping in grazing bifurcations
Phys. Rev. E. 55 266-270 (Published)
1997Bifurcations caused by grazing incidence in many degrees of freedom impact oscillators.
Proc. R. Soc. Lond. A 453  (Published)
1996Some results on the electrostatic energy of ionic crystals.
Can J. Chem 74 885-891 (Published)
1996Hopprepskurvan (The skipping-rope curve)
Elementa 79 142-148 (Published)
1995Existance of periodic solutions in grazing bifurcation of impacting mechanical oscillators.
International conference on nonlinear dynamics, chaotic and complex systems (NDCCS´95).   (Published)
1994Experimental 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 (Published)
1994A computer implementation for the interactive study of cell mappings.
Nonlinearity and chaos in engineering mechanics   (Published)
1991Non-periodic motion caused by grazing incidence in an impact oscillator
J. Sound & Vibration 145 279-297 (Published)


Please note that this list might not be complete.

2010-2012Muscle-driven human movementsBiomechanics
2009-2010Balloon mechanicsTheoretical and computational mechanics
1995-2015Analytical and statistical mechanics for systems of many charged particlesTheoretical and computational mechanics