Mathematical modelling and simulation of vibration control response of intermediate support parameters in a hanging cantilever

摘要

Randomly excited vibrations in a vertically hanging cantilever can be damped and controlled by an intermediate support comprising a support tube and an annular ring holding the cantilever at the bottom of the tube. A number of parameters like length and stiffness of the support tube, stiffness of the annular ring, mounting position of the ring with respect to cantilever end and nature of the support provided by the ring may affect the damping in the system. In this work, a mathematical model is developed to simulate the system in order to see the role of these parameters in damping and controlling the vibrations of the cantilever. The computed results for an experimental set-up are discussed and analyzed to elaborate the response of support tube parameters and stiffness of the annular ring. It is observed that knowing the possible range of perturbation frequency and amplitude, the intermediate support parameters can be adjusted to successfully overcome the vibration problem.