Vibration suppression of an inclined beam using a track nonlinear energy sink with dry friction damping
摘要
Track nonlinear sinks (TNES) have been extensively studied for vibration control. However, the integration of dry friction damping into TNES designs remains unexplored. This study proposes a novel TNES incorporating dry friction damping applied to an inclined beam system. The track trajectory of the TNES is derived as a function of the inclination angle. The coupled system is characterized by a mechanical representation, where the dry friction force is approximated by a hyperbolic tangent function. The coupled system is discretized using the Galerkin method, followed by solution procedures based on harmonic balance and numerical time integration. The computed results demonstrate that the dry friction fundamentally alters the dynamic characteristics of the system, leading to enhanced attenuation of vibrations, suppression of bifurcations, and a continuous leftward shift of the resonance peak with increasing inclination angle. Moreover, dry friction demonstrates superior control performance at higher excitation amplitudes compared to viscous damping alone. These results highlight the critical role of dry friction damping in improving both the effectiveness and robustness of TNES, offering new insights for nonlinear vibration control in inclined structures.