Nonlinear Dynamics and Characterization of Beam-Based Systems with Contact/Impact Boundaries

In this work, the contact/impact problem in a mechanical system with various locations of stoppers is investigated. Finite element simulations and analytical verification in the form of Euler-Bernoulli beam theory are utilized to initially understand the ideal linear system and identify an expected frequency range of interest. The complex nonlinear behavior of varying stopper’s location on the characteristics of a cantilever beam system with a tip mass is experimentally highlighted through the analysis of time histories and frequency response functions. Experimental analyses using free and forced vibration methods, such as impulse, harmonic, and random vibration tests, are performed to extract linear and nonlinear dynamic characteristics of the system. This work seeks to increase awareness of the effects of nonlinearities in the design of dynamical systems and expand the understanding of how these effects can be positively exploited. Results can aid in prevention of premature wear and extend the overall lifetime of systems by avoiding ranges of frequencies that exhibit chaotic responses.