Mathematics in the Automotive Industry

by James R. Smith

The selected papers presented here emphasize the involvement of engineering science and mathematical modelling in rapidly solving complex problems which arise in the automotive industry. Chapters review the analysis of vehicle dynamics and control by automatic software generation and algebraic manipulation codes. Authors also discuss the application of control theory to four-wheel steering, active and semi-active suspensions, continuously variable transmission, and dynamometer control. Further chapters review the modelling of acoustical phenomena in the context of automotive noise, computer-induced changes in the artistic rendering of design elements, and the mathematical definition of surface features such as pockets, channels, and ribs. There are also chapters on the accurate and realistic prediction of air-flow and temperature 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, analyzing pressing or stamping operations; the sophisticated thermomechanical modelling of electrical components; and using well-tried algorithms to predict fatigue, and thus produce non-failing components. The volume will be an important source of up-to-date information for applied mathematicians, engineers, and researchers in the automotive industry, as well as for advanced students in engineering and mathematics.

346 pages, Hardcover

First published August 20, 1992