The main objective of the present work is to determine reduction in the unbalance response of a rotor shaft system by using a suitable polymeric or viscoelastic bearing support. For analysis, a simple rotor system has been taken with the rotor placed in the middle of a massless shaft with linear elastic bearings at the ends, having viscoelastic supports. A procedure is given for determining the frequency dependence of viscoelastic support characteristics so that the frequency of excitation never coincides with any of the undamped natural frequencies of the system, thus giving low unbalance response over a wide frequency range and the support material can be chosen accordingly.
IntroductionExternal damping at the supports is found to be useful in controlling dynamic response of rotating systems [1, 2, 3]. The damping in these studies has been taken to be viscous.Squeeze-film dampers at the rotor bearing supports have been used for high speed systems [4]. A comparison of squeeze film type supports with elastomeric or viscoelastic supports has been carried out experimentally and the latter have been seen to offer operational advantages [5]. Preliminary theoretical studies in [6] have indicated that the unbalance response of a rotor system may be reduced significantly by suitable choice of viscoelastic support parameters. For harmonic vibration conditions, the characteristics of a viscoelastic member are represented by complex stiffness K* = K{\ + irj),Kbe\ng in-phase stiffness and i\, the material loss factor [7]. In most available viscoelastic materials, in the useable frequency range, K increases with frequency and ij increases or decreases with frequency depending on the type of material. The influence of frequency dependence has not been included in [6] and the same has been considered in the present work in order to determine suitable support characteristics for reducing the unbalance response of the rotor.