Modeling and simulation of non-smooth mechanical systems

Abstract

An advanced modeling of two real physical non-smooth objects is carried out. The non-linear ordinary differential and algebraic inequalities are derived and then numerically simulated. Various aspects of non-linear dynamics are addressed, illustrated and discussed. In the first case, the triple physical pendulum with barriers is used to model a piston-connecting rod-crankshaft system of a mono-cylinder combustion engine. Among other results, a peculiar motion of the piston-connecting rod-crankshaft model is reported, i.e. six sliding stages of the piston along the cylinder per one engine cycle are illustrated. In the second case, the two-degrees-of-freedom mechanical self-excited system with friction modeling the girling duo-servo brake is studied.