33 Modeling and Stochastic Dynamic Analysis of a Piezoelectric Shunted Rotating Beam 283 33.4 Conclusion A coupled electromechanical model is developed for the a rotating beam with piezoelectric patches surface-mounted. The passive inductance-resistance-shunt damping is employed to attenuate the vibration of the rotating beam at the selected resonant frequency. Both the Coriolis effect and nonlinear effects arising form the couplings of bending-stretching, bendingtwist and twist-stretching are taken into account. The effect of input uncertainties into the system modelling is considered. The efficiency and accuracy of the given model is tested and validated. Novelty of this work includes the combination of the power of non-intrusive gPCE for prediction of uncertain responses and the flexibility of the generalised form of Hamilton’s principle for modeling of the complex electromechanical rotating beam. Acknowledgements The authors gratefully acknowledge the financial support provided by the National Natural Science Foundation of China (NSFC, Grant No. 51505281). References 1. Yoo, H.H., Shin, S.H.: Vibration analysis of rotating cantilever beams. J. Sound Vib. 212, 807–828 (1998) 2. Tian, J., Su, J., Zhou, K., Hua, H.: A modified variational method for nonlinear vibration analysis of rotating beams including Coriolis effects. J. Sound Vib. 426, 258–277 (2018) 3. Manolas, D.I., Riziotis, V.A., Voutsinas, S.G.: Assessing the importance of geometric nonlinear effects in the prediction of wind turbine blade loads. J. Comput. Nonlinear Dyn. 10, 041008–041001 (2015) 4. Yuan, J., Scarpa, F., et al.: Efficient computational techniques for mistuning analysis of bladed discs: a review. Mech. Syst. Signal Process. 87, 71–90 (2017) 5. Xiu, D., Karniadakis, G.E.: Modeling uncertainty in flow simulations via generalized polynomial chaos. J. Comput. Phys. 187, 137–167 (2003) 6. Bauchau, O.A.: Flexible multibody dynamics. Springer Science & Business Media, Berlin (2010)
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