Mitigation of Plate Vibrations Using Inerter Based Vibration Absorber

The present investigation depicts the dynamic response of a steel plate attached with an inerter based passive vibration absorber when it is subjected to a uniformly distributed pulse loading. An inerter is a passive mechanical element with the characteristic that the applied force at its nodes is proportional to the relative acceleration between these nodes. Herein, the modal analysis of steel plate is performed using the finite element method. The equivalent single degree of freedom (SDOF) system for steel plate is developed by evaluating equivalent mass, stiffness, and load by incorporating the highest participating modes. The parameters for the equivalent SDOF system are also obtained using transformation factors based on the assumed deflected shape of the plate. The displacement response of the central point of plate obtained from FE simulation is compared with the response of the equivalent SDOF system for the validation. Furthermore, mitigation of vibrations of the plate is attempted by incorporating inerter based passive vibration absorber. The vibration absorber’s parameters, i.e., inertance, damping coefficient, and stiffness are varied to investigate their influence on the response of the system.