Abstract

Machine tool structures have been analysed in the past using finite element method to study and improve their rigidity. The structural damping of the machine tool structure plays an important role in governing the dynamic properties of the structure. However, it has been reported that attempts have been made experimentally to establish that improvement can be attained by applied damping treatment using viscoelastic layers. A theoretical study on the vibrations of machine tool structures with applied damping treatment has been carried out in this investigation using a conventional beam element. The complex nature of the Young's modulus of the layer material has been accounted for in the derivation of the stiffness matrix. Simultaneous iteration technique has been extended to evaluate the complex eigenvalues. Models of milling machine, radial drilling machine and lathe have been analysed for their natural frequencies and loss factors. Influence of layering treatment on the natural frequencies and loss factors has been discussed. In addition to uniform layering, staggering of layers have also been attempted.

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