Über den Autor
Tamas Insperger and Gabor Stepan are both Professors in the Department of Applied Mechanics at the Budapest University of Technology and Economics.
Introducing delay.- Basic delay differential equations.- Newtonian examples.- Engineering applications.- Summary.- References.
This book presents the recently introduced and already widely referred semi-discretization method for the stability analysis of delayed dynamical systems. Delay differential equations often come up in different fields of engineering, like feedback control systems, machine tool vibrations, balancing/stabilization with reflex delay. The behavior of such systems is often counter-intuitive and closed form analytical formulas can rarely be given even for the linear stability conditions. If parametric excitation is coupled with the delay effect, then the governing equation is a delay differential equation with time periodic coefficients, and the stability properties are even more intriguing. The semi-discretization method is a simple but efficient method that is based on the discretization with respect to the delayed term and the periodic coefficients only. The method can effectively be used to construct stability diagrams in the space of system parameters.
Stability diagrams for some basic delay systems appearing in engineering problems are summarized in the introduction The semi-discretization method is presented in a simple and clear way with examples Different approaches for the application of the semi-discretization method is presented considering the rate convergence and numerical efficiency Basic engineering models described by time-periodic and time-delayed systems are presented