Automotive Mathematics

The first of its kind in the UK, the IMA conference on Mathematics in the Automotive Industry was intended to expose typical theoretical problems in this industry and the role that mathematics can play in their solution. The selected papers presented here emphasize the involvement ofengineering science and mathematical modelling in solving problems which arise from complex engineering situations. The automotive industry is concerned crucially with highly practical questions that need answers quickly. The analysis of vehice dynamics and control by automatic software generation and using algebraic manipulation codes is reviewed. Problems of current interest discussed include applying control theory to four-wheel steer, active and semi-active suspensions, continuously variable transmission, anddynamometer control. Further chapters review the modelling of acoustical phenomena in the context of automotive noise due to the engine and tyres. Others discuss the digital computer-induced changes in how the stylist's conception of a car is translated into actual panels and the mathematical definition of surfacefeatures such as pockets, channels, and ribs. Later, there are chapters on the accurate and realistic prediction of air-flow rate, temperature, and flow characteristics to aid engine design; the simulation of flame propagation and knock; and using component models to predict vehicle heating and cooling. The final four chapters discuss finite element analysis of anisotropic deformation and its use in, for example, analysing pressing or stamping operations; the sophisticated thermomechanical modelling of electrical components; and using well-tried algorithms to predict fatigue, and thus producenon-failing components.