Non-smooth Problems in Vehicle Systems Dynamics

The book combines vehicle systems dynamics with the latest theoretical developments in dynamics of non-smooth systems and numerical analysis of differential-algebraic dynamical systems with discontinuities. These two fields are fundamental for the modelling and analysis of vehicle dynamical sytems. The results are also applicable to other non-smooth dynamical systems.

Autorentext

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.

Inhalt
1: Problems in Vehicle Dynamics.- Typical Non-smooth Elements in Vehicle Systems.- Application Of Nonlinear Stability Analysis in Railway Vehicle Industry.- Closed-form Analysis of Vehicle Suspension Ride and Handling Performance.- Limit Wheel Profile for Hunting Instability of Railway Vehicles.- Low-cost Maintenance Operation for Avoiding Hunting Instability in a Metro Vehicle.- Acoustic Optimization of Wheel Sets.- Measurement, Modelling and Simulation of Curve Squealing of Trains.- Selected Problems of Non-Linear (Non-Smooth) Dynamics of Rail Vehicles in a Curved Track.- On Tangential Friction Induced Vibrations in Brake Systems.- Dry Friction Element With Logical Switch for Numerical Simulation of Vehicle Dynamics and Its Application.- Damper modelling and its implementation in railway simulation program.- Suppression of Bumpstop Instabilities in a Quarter-Car Model.- Experimental Modal Analysis of Towed Elastic Tyres During Rolling.- Modelling and Simulation of Longitudinal Tyre Behaviour.- 2: Dynamics of Non-smooth Problems.- Bifurcations in Non-smooth Models of Mechanical Systems.- Vibrational Displacement Determined by Constructive and Force Asymmetry of System.- Smoothing Dry Friction by Medium Frequency Dither and Its Influence on Ride Dynamics of Freight Wagons.- Simulation of Gear Hammering With a Fully Elastic Model.- 3: Numerical Analysis of Non-smooth Problems.- Discontinuities in ODEs: Systems with Change of State.- Towards Improved Error Estimates for Higher Order Time Integration of ODEs with Non-Smooth Right Hand Side.- Sensitivity Analysis of Discontinuous Multidisciplinary Models: Two Examples.- Smoothing discontinuities in the Jacobian Matrix by Global Derivatives.