Vibration transmission through structural connections in beams

Analysis of vibration transmission and reflection in beam-like engineering structures requires better predictive models to optimise structural behaviour further. Numerous studies have used flexural and longitudinal structural wave motion to model the vibrational response of angled junctions in beam-like structures, to better understand the transmission and reflection properties. This study considers a model of a variable joint angle which joins two semi-infinite rectangular cross-section beams. In a novel approach, the model allows for the joint to expand in size as the angle between the two beams is increased. The material, geometric and dynamics properties were consistently being considered. Thus, making the model a good representation of a wide range of angles. Predicted results are compared to an existing model of a joint between two semi-infinite beams where the joint was modelled as a fixed inertia regardless of the angle between the beams, thus limiting its physical representation, especially at the extremes of angle (two beams lay next to each other at 180 degree joint). Results from experimentation were also compared to the modelling, which is in good agreement for the range of angles investigated. Optimum angles for minimum vibrational power transmission are identified in terms of the frequency of the incoming flexural or longitudinal wave. Extended analysis and effect of adding stiffness and damping (rubber material) at the joint are also reported.