Simulation of a Self-Resonant Beam-Slider-System Considering Geometric Nonlinearities

摘要

Self-adaptive systems have the special ability to adjust their dynamical characteristics depending on certain operating conditions. In previous research a clamped-clamped beam with an attached slider has shown self-resonant behavior in experiments. However, the physical mechanisms producing this self-adaptivity are not yet fully understood. Here, we present a numerical model in which the beam is described by its lowest-frequency normal modes and taking into account geometric nonlinearities. Additionally, a clearance between beam and slider allows for unilateral and dry frictional contact interactions between the respective bodies. We demonstrate that the contact interactions are the key to explain the self-adaptive behavior. Moreover, we illustrate that the beam's geometric nonlinearity is essential to simulate jumps to significantly higher amplitude levels.