Effects of internal damping on dynamic stability of a rotating composite shaft

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (23) : 181-186.

RENYongsheng, SHI Yuyan, ZHANG Yuhuan

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Abstract

As composite material has a higher damping capacity than metallic materials do, a supercritical rotating composite shaft under the action of material’s internal damping is easier to have an unstable self-excited vibration. Here, based on the basic equations for constitutive relations and strain-displacement relations of composite material, the kinetic energy, the potential energy, and the internal damping dissipative energy of the rotor system including the rotating composite shaft were derived with Bernoulli-Euler beam theory and considering dissipative characteristics of viscoelastic damping. The rotor system’s equations of motion were deduced using Hamilton principle. Galerkin method was used to solve the rotor system’s equations of motion in complex coordinates to derive the characteristic equations of the rotor system. The rotor system’s natural frequency versus rotating speed curve and damping versus rotating speed curve were obtained through numerical analysis. From these curves, the critical rotating speed and instability threshold of the system were gained. The effects of ply angle, stacking sequences, and ratio of length to outer radius on the system’s critical rotating speed and instability threshold were analyzed .The correctness of the dynamic model built here for the rotor system was verified by comparing the calculated results of critical speed and damping of the rotor system with those available in literatures.

Key words

rotating composite shaft / internal damping / dynamic stability

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RENYongsheng, SHI Yuyan, ZHANG Yuhuan. Effects of internal damping on dynamic stability of a rotating composite shaft[J]. Journal of Vibration and Shock, 2017, 36(23): 181-186

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