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A method for the analysis of impact systems using numerical continuation.

The existence of impacts in mechanical systems inherently makes these systems nonlinear in nature. As a result, these systems can be difficult to thoroughly characterize. Furthermore, the results obtained through the analysis of these systems can be highly dependent on the models used to describe the contact during an impact event. Due to the inherent difficulties in the analysis of systems with impacts, more efficient methods are desired to carry out these analyses and compare the results obtained from different contact models. This report proposes numerical continuation as an efficient method for the analysis of impact systems and presents the results of an analysis of a single degree of freedom impact oscillator. Also, recommendations are given for future improvements to this method in order to make it practical for the analysis of complex systems.