[1] LIU, G. Z., GUO, X. M., and ZHU, L. Dynamic analysis of wind turbine tower structures in complex ocean environment. Applied Mathematics and Mechanics (English Edition), 41(7), 999-1010 (2020) https://doi.org/10.1007/s10483-020-2624-8 [2] GAO, Z., LI, Y., WANG, T., KE, S., and LI, D. Recent improvements of actuator line-large-eddy simulation method for wind turbine wakes. Applied Mathematics and Mechanics (English Edition), 42(4), 511-526 (2021) https://doi.org/10.1007/s10483-021-2717-8 [3] ZHOU, D., ZHANG, X., and ZHANG, Y. Dynamic reliability analysis for planetary gear system in shearer mechanisms. Mechanism and Machine Theory, 105, 244-259 (2016) [4] HU, W., CHOI, K., and CHO, H. Reliability-based design optimization of wind turbine blades for fatigue life under dynamic wind load uncertainty. Structural and Multidisciplinary Optimization, 54(4), 953-970 (2016) [5] ROGERS, T. J., GARDNER, P., DERVILIS, N., WORDEN, K., MAGUIRE, A. E., PAPATHEOU, E., and CROSS, E. J. Probabilistic modelling of wind turbine power curves with application of heteroscedastic Gaussian process regression. Renewable Energy, 148, 1124-1136 (2020) [6] DING, H., TANG, J., and SHAO, W. Automatic data-driven operation and optimization of uncertain misalignment by considering mechanical power transmission performances of spiral bevel and hypoid gears. Applied Soft Computing, 82, 105600 (2019) [7] XU, B., CHEN, D., ZHANG, H., LI, C., and ZHOU, J. Shaft misalignment induced vibration of a hydraulic turbine generating system considering parametric uncertainties. Journal of Sound and Vibration, 435, 74-90 (2018) [8] MA, H., ZENG, J., FENG, R., PANG, X., WANG, Q., and WEN, B. Review on dynamics of cracked gear systems. Engineering Failure Analysis, 55, 224-245 (2015) [9] MARHADI, K. S. and SKRIMPAS, G. A. Automatic threshold setting and its uncertainty quantification in wind turbine condition monitoring system. International Journal of Prognostics and Health Management, 6, 2015005 (2015) [10] TABATABAEIPOUR, S. M., ODGAARD, P. F., BAK, T., and STOUSTRUP, J. Fault detection of wind turbines with uncertain parameters: a set-membership approach. Energies, 5(7), 2424-2448 (2012) [11] ZENG, J., MA, H., YU, K., XU, Z., and WEN, B. Coupled flapwise-chordwise-axial-torsional dynamic responses of rotating pre-twisted and inclined cantilever beams subject to the base excitation. Applied Mathematics and Mechanics (English Edition), 40(8), 1053-1082 (2019) https://doi.org/10.1007/s10483-019-2506-6 [12] ZHANG, Z. and CHEN, Y. Harmonic balance method with alternating frequency/time domain technique for nonlinear dynamical system with fractional exponential. Applied Mathematics and Mechanics (English Edition), 35(4), 423-436 (2014) https://doi.org/10.1007/s10483-014-1802-9 [13] ROBERTSON, A., BACHYNSKI, E. E., GUEYDON, S., WENDT, F., and SCHÜNEMANN, P. Total experimental uncertainty in hydrodynamic testing of a semisubmersible wind turbine, considering numerical propagation of systematic uncertainty. Ocean Engineering, 195, 106605 (2020) [14] ZHANG, J., YAN, J., INFIELD, D., LIU, Y., and LIEN, F. S. Short-term forecasting and uncertainty analysis of wind turbine power based on long short-term memory network and Gaussian mixture model. Applied Energy, 241, 229-244 (2019) [15] SUN, W., LI, X., and WEI, J. An approximate solution method of dynamic reliability for wind turbine gear transmission with parameters of uncertain distribution type. International Journal of Precision Engineering and Manufacturing, 19(6), 849-857 (2018) [16] BACHYNSKI, E., THYS, M., and DELHAYE, V. Dynamic response of a monopile wind turbine in waves: experimental uncertainty analysis for validation of numerical tools. Applied Ocean Research, 89, 96-114 (2019) [17] BEYAOUI, M., TOUNSI, M., ABBOUDI, K., FEKI, N., WALHA, L., and HADDAR, M. Dynamic behaviour of a wind turbine gear system with uncertainties. Comptes Rendus Mécanique, 344(6), 375-387 (2016) [18] AVENDA NO-VALENCIA, L. D. and FASSOIS, S. D. Damage/fault diagnosis in an operating wind turbine under uncertainty via a vibration response Gaussian mixture random coefficient model based framework. Mechanical Systems and Signal Processing, 91, 326-353 (2017) [19] MABROUK, I. B., EL-HAMI, A., WALHA, L., ZGHAL, B., and HADDAR, M. Dynamic response analysis of vertical axis wind turbine geared transmission system with uncertainty. Engineering Structures, 139, 170-179 (2017) [20] GUERINE, A., EL-HAMI, A., WALHA, L., FAKHFAKH, T., and HADDAR, M. A polynomial chaos method for the analysis of the dynamic behavior of uncertain gear friction system. European Journal of Mechanics-A/Solids, 59, 76-84 (2016) [21] WEI, S., ZHAO, J., HAN, Q., and CHU, F. Dynamic response analysis on torsional vibrations of wind turbine geared transmission system with uncertainty. Renewable Energy, 78, 60-67 (2015) [22] WEI, S., CHU, F. L., DING, H., and CHEN, L. Q. Dynamic analysis of uncertain spur gear systems. Mechanical Systems and Signal Processing, 150, 107280 (2021) [23] WANG, J. and ZHANG, J. Effects of random interval parameters on spur gear vibration. Journal of Vibration and Control, 27, 2332-2344 (2021) [24] FU, C., XU, Y. D., YANG, Y. F., LU, K., GU, F. S., and BALL, A. D. Response analysis of an accelerating unbalanced rotating system with both random and interval variables. Journal of Sound and Vibration, 466, 115047 (2020) [25] NECHAK, L. and SINOU, J. Hybrid surrogate model for the prediction of uncertain friction-induced instabilities. Journal of Sound and Vibration, 396, 122-143 (2017) [26] LI, L., LUO, Z., HE, F. X., SUN, K., and YAN, X. L. An improved partial similitude method for dynamic characteristic of rotor systems based on Levenberg-Marquardt method. Mechanical Systems and Signal Processing, 165, 108405 (2022) [27] SLOT, R. M., SØRENSEN, J. D., SUDRET, B., SVENNINGSEN, L., and THØGERSEN, M. L. Surrogate model uncertainty in wind turbine reliability assessment. Renewable Energy, 151, 1150-1162 (2020) [28] MURCIA, J. P., RÉTHORÉ, P. E., DIMITROV, N., NATARAJAN, A., SØRENSEN, J. D., GRAF, P., and KIM, T. Uncertainty propagation through an aeroelastic wind turbine model using polynomial surrogates. Renewable Energy, 119, 910-922 (2018) [29] XIU, D. and KARNIADAKIS, G. E. Modeling uncertainty in flow simulations via generalized polynomial chaos. Journal of Computational Physics, 187(1), 137-167 (2003) [30] GHANEM, R. G. and SPANOS, P. D. Stochastic Finite Elements: A Spectral Approach, Springer, Berlin (1991) [31] WU, J., LUO, Z., ZHANG, N., and ZHANG, Y. A new uncertain analysis method and its application in vehicle dynamics. Mechanical Systems and Signal Processing, 50, 659-675 (2015) [32] XIU, D. and KARNIADAKIS, G. E. The Wiener-Askey polynomial chaos for stochastic differential equations. SIAM Journal on Scientific Computing, 24(2), 619-644 (2002) [33] WAN, H. P., REN, W. X., and TODD, M. D. Arbitrary polynomial chaos expansion method for uncertainty quantification and global sensitivity analysis in structural dynamics. Mechanical Systems and Signal Processing, 142, 106732 (2020) [34] WU, J., WALKER, P. D., RUAN, J., and ZHANG, N. Target torque estimation for gearshift in dual clutch transmission with uncertain parameters. Applied Mathematical Modelling, 51, 1-20 (2017) [35] FU, C., YANG, Y. F., LU, K., and GU, F. S. Nonlinear vibration analysis of a rotor system with parallel and angular misalignments under uncertainty via a Legendre collocation approach. International Journal of Mechanics and Materials in Design, 16, 557-568 (2020) [36] SHI, W., KIM, C. W., CHUNG, C. W., and PARK, H. C. Dynamic modeling and analysis of a wind turbine drivetrain using the torsional dynamic model. International Journal of Precision Engineering and Manufacturing, 14(1), 153-159 (2013) [37] LI, R. F. and WANG, J. J. Dynamics of Gear System -- Vibration, Shock and Noise (in Chinese), Science Press, Beijing (1997) [38] WANG, Y. and ZHANG, W. Stochastic vibration model of gear transmission systems considering speed-dependent random errors. Nonlinear Dynamics, 17(2), 187-203 (1998) [39] YANG, J. Vibration analysis on multi-mesh gear-trains under combined deterministic and random excitations. Mechanism and Machine Theory, 59, 20-33 (2013) [40] ALEMAYEHU, F. M. and EKWARO-OSIRE, S. Uncertainty considerations in the dynamic loading and failure of spur gear pairs. Journal of Mechanical Design, 135(8), 084501 (2013) [41] FU, C., REN, X. M., and YANG, Y. F. Vibration analysis of rotors under uncertainty based on Legendre series. Journal of Vibration Engineering and Technologies, 7(1), 43-51 (2019) [42] FU, C., XU, Y. D., YANG, Y. F., LU, K., GU, F. S., and BALL, A. D. Dynamics analysis of a hollow-shaft rotor system with an open crack under model uncertainties. Communications in Nonlinear Science and Numerical Simulation, 83, 105102 (2020) [43] ZHANG, H. P., LU, K., ZHANG, W., and FU, C. Investigation on dynamic behaviors of rotor system with looseness and nonlinear supporting. Mechanical Systems and Signal Processing, 166, 108400 (2022) |