Numerical Computation of Separation Events
Received Date: May 13, 2021; Published Date: August 20, 2021
Impacting systems possess stiffness discontinuities (nonlinearities) and integrating the system through these abrupt transitions in stiffness is numerically challenging. Henon’s method  for identifying numerically the instant of impact - and the associated values of the state variables - is well established. However, in cases where distinct components move together, there is not a well-developed technique for identifying when they separate because this separation event is not expressed in terms of the generalized coordinates. This work presents a numerical technique for doing just that. If one couples this method with Henon’s method, the time response of a system undergoing repeated impacts and separations may be obtained with a high degree of precision. Several specific examples are presented to demonstrate the utility of the method.