Non-smooth Problems in Vehicle Systems Dynamics (eBook)

Per Grove Thomsen was born in Esbjerg, Denmark, 1941. M.Sci. in Electrical Engineering and Mathematics at DTH in 1967. Visiting Research Assistant at Dept. of Mathematics, University of Dundee 1971-72. Assoc. Prof. in Numerical Analysis, DTU 1974. Visiting Professor at Dept. of Computer Science , University of Waterloo, 1983-84. Visiting the Mittag-Leffler Institute in Stockholm, Sweden in May 1998. 1987-2009. Reader in Numerical Analysis at IMM, DTU.Born in 1936, Hans True received his PhD in 1964 at the Technical University of Denmark (DTU). He became a Fulbright Fellow 1964-67 and an Alexander von Humboldt fellow 1970-71. From 1969 till 2003 he taught Applied Mathematics at DTU. Hans True founded "True Consult" and became elected trustee of "The International Association of Vehicle Systems Dynamics" (IAVSD). He was elected President in 2003. Hans True has been a guest researcher at several institutions.

Contents 5
Contributors 8
Part I Problems in Vehicle Dynamics 11
Typical Non-smooth Elements in Vehicle Systems 12
Hans True 12
Application of Nonlinear Stability Analysis in Railway Vehicle Industry 24
Oldrich Polach 24
Closed-Form Analysis of Vehicle Suspension Ride and Handling Performance 37
Mehdi Ahmadian 37
Limit Wheel Profile for Hunting Instability of Railway Vehicles 49
Laura Mazzola, Stefano Alfi, F. Braghin, and S. Bruni 49
Low-Cost Maintenance Operation for Avoiding Hunting Instability in a Metro Vehicle 61
F. Braghin, Stefano Alfi, S. Bruni, and A. Collina 61
Acoustic Optimization of Wheel Sets 74
Michael Beitelschmidt, Volker Quarz, and Dieter Stüwing 74
Measurement, Modelling and Simulation of Curve Squealing of Trains 79
Christoph Glocker, Eric Cataldi-Spinola, Rossano Stefanelli, and Jürg Dual 79
Selected Problems of Non-linear (Non-smooth) Dynamics of Rail Vehicles in a Curved Track 92
Krzysztof Zboinski 92
On Tangential Friction Induced Vibrations in Brake Systems 105
Georg Peter Ostermeyer 105
Dry Friction Element with Logical Switch for Numerical Simulation of Vehicle Dynamics and Its Application 116
Anna Orlova 116
Damper Modelling and Its Implementation in Railway Simulation Program 126
Asier Alonso and J.G. Giménez 126
Suppression of Bumpstop Instabilities in a Quarter-Car Model 139
Fredrik Svahn, Jenny Jerrelind, and Harry Dankowicz 139
Experimental Modal Analysis of Towed Elastic Tyres During Rolling 150
Dénes Takács and Gábor Stépán 150
Modelling and Simulation of Longitudinal Tyre Behaviour 161
Jaap P. Meijaard 161
Part II Dynamics of Non-smooth Problems 171
Bifurcations in Non-smooth Models of Mechanical Systems 172
Piotr Kowalczyk and Arne Nordmark 172
Vibrational Displacement Determined by Constructive and Force Asymmetry of System 185
Iliya I. Blekhman 185
Smoothing Dry Friction by Medium Frequency Dither and Its Influence on Ride Dynamics of Freight Wagons 187
Jerzy Piotrowski 187
Simulation of Gear Hammering With a Fully Elastic Model 193
Pascal Ziegler and Peter Eberhard 193
Part III Numerical Analysis of Non-smooth Problems 206
Discontinuities in ODEs: Systems with Change of State 207
Per Grove Thomsen 207
Towards Improved Error Estimates for Higher Order Time Integration of ODEs with Non-Smooth Right Hand Side 222
Martin Arnold 222
Sensitivity Analysis of Discontinuous Multidisciplinary Models: Two Examples 233
Andreas Pfeiffer and Martin Arnold 233
Smoothing Discontinuities in the Jacobian Matrixby Global Derivatives 246
Georg Rill 246
Index 255