Hybrid Vibration Control of a Circular Cylindrical Shell Using Electromagnetic Constrained Layer Damping Treatment

Abstract

This paper investigates hybrid vibration control of a circular cylindrical shell through electromagnetic constrained layer damping (EMCLD) treatment, which consists of an electromagnet layer, a permanent magnet layer and a sandwiched viscoelastic damping layer. A mathematical model is developed based on the equivalent current method to calculate the electromagnetic control force produced by EMCLD. The governing equations of the shell system are established using Hamilton’s principle and then reduced with the assumed-mode method. The vibration control of a clamped-free circular cylindrical shell is simulated with velocity-proportional feedback to demonstrate the energy dissipation capability of EMCLD. Also, parametric studies are performed to examine the influences of geometry and physical properties of EMCLD on control performance. The results show the distinct energy consumption function of EMCLD in the passive way. The hybrid way provides much better control performance than the passive way in the concerned frequency range. It is also indicated from parametric studies that increasing the value of any one of the physical parameters, such as the loss factor of the viscoelastic material, the thickness of the permanent magnet and the area of EMCLD, has a contribution to the improvement of hybrid control performance. In contrast, increasing the thickness of the viscoelastic layer deteriorates both passive and hybrid control effects.