[1]SANDU A, SANDU C, AHMADIAN M. Modeling multibody systems with uncertainties. Part Ⅰ: Theoretical and computational aspects[J]. Multibody System Dynamics, 2006, 15(4): 369-391.
[2]SANDU C, SANDU A, AHMADIAN M. Modeling multibody systems with uncertainties. Part Ⅱ: Numerical applications[J]. Multibody System Dynamics, 2006, 15(3): 241-262.
[3]BONETTI D, DE ZAIACOMO G, BLANCO G, et al. ExoMars 2016: Schiaparelli coasting, entry and descent post flight mission analysis[J]. Acta Astronautica, 2018, 149: 93-105.
[4]SU X, MAO J X, WANG H, et al. Automatic identification of modal parameters of long-span bridges considering uncertainty[J]. Journal of Southeast University (Natural Science Edition), 2023, 53(5): 850-856. (in Chinese)
[5]AVEN T, NØKLAND T E. On the use of uncertainty importance measures in reliability and risk analysis[J]. Reliability Engineering & System Safety, 2010, 95(2): 127-133.
[6]PI T, ZHANG Y Q. Monte Carlo simulation of flexible multibody system with uncertainties[J]. Applied Mechanics and Materials, 2011, 55: 1382-1385.
[7]FENG X X, ZHANG Y Q, WU J L. Interval analysis method based on Legendre polynomial approximation for uncertain multibody systems[J]. Advances in Engineering Software, 2018, 121: 223-234.
[8]DO D M, GAO W, SONG C. Stochastic finite element analysis of structures in the presence of multiple imprecise random field parameters[J]. Computer Methods in Applied Mechanics and Engineering, 2016, 300: 657-688.
[9]GHANEM R G, SPANOS P D. Stochastic finite elements: A spectral approach[M]. Rev. ed. Mineola, NY, USA: Dover Publications, 2003: 13-24.
[10]BETZ W, PAPAIOANNOU I, STRAUB D. Numerical methods for the discretization of random fields by means of the Karhunen-Loève expansion[J]. Computer Methods in Applied Mechanics and Engineering, 2014, 271: 109-129.
[11]DU T, XIE N, JIA S S. Investigation and statistical analysis for variable material loads on formwork system during construction[J]. Journal of Southeast University (English Edition), 2023, 39(1): 17-25.
[12]ZHU J S, GAO C E. Probabilistic durability assessment approach of deteriorating RC bridges[J]. Journal of Southeast University (English Edition), 2011, 27(1): 70-76.
[13]XU Z D, WANG H, ZHAO K Y, et al. Research progress and considerations on spectral representation methods for non-stationary turbulent wind fields of exceptional winds[J]. Journal of Southeast University (Natural Science Edition), 2025, 55(1): 203-212. (in Chinese)
[14]WU J L, LUO Z, ZHANG N, et al. Dynamic computation of flexible multibody system with uncertain material properties[J]. Nonlinear Dynamics, 2016, 85(2): 1231-1254.
[15]WU J L, LUO L, ZHU B, et al. Dynamic computation for rigid-flexible multibody systems with hybrid uncertainty of randomness and interval[J]. Multibody System Dynamics, 2019, 47(1): 43-64.
[16]MENG J W, JIN Y F. Time-variant response computation of flexible multibody systems with imprecise random fields[J]. International Journal of Non-Linear Mechanics, 2025, 173: 105053.
[17]VERHAEGHE W, DESMET W, VANDEPITTE D, et al. Interval fields to represent uncertainty on the output side of a static FE analysis[J]. Computer Methods in Applied Mechanics and Engineering, 2013, 260: 50-62.
[18]NI B Y, JIANG C. Interval field mo-del and interval finite element analysis[J]. Computer Methods in Applied Mechanics and Engineering, 2020, 360: 112713.
[19]DANNERT M M, FAES M G R, FLEURY R M N, et al. Imprecise random field analysis for non-linear concrete damage analysis[J]. Mechanical Systems and Signal Processing, 2021, 150: 107343.
[20]SOFI A, MUSCOLINO G, ELISHAKOFF I. Static response bounds of Timoshenko beams with spatially varying interval uncertainties[J]. Acta Mechanica, 2015, 226(11): 3737-3748.
[21]WU D, GAO W. Hybrid uncertain static analysis with random and interval fields[J]. Computer Methods in Applied Mechanics and Engineering, 2017, 315: 222-246.
[22]GAO W, WU D, GAO K, et al. Structural reliability analysis with imprecise random and interval fields[J]. Applied Mathematical Modelling, 2018, 55: 49-67.
[23]WU J L, LUO Z, ZHANG N, et al. A new uncertain analysis method and its application in vehicle dynamics[J]. Mechanical Systems and Signal Processing, 2015, 50: 659-675.
[24]FENG X X, WU J L, ZHANG Y Q. Time response of structure with interval and random parameters using a new hybrid uncertain analysis method[J]. Applied Mathematical Modelling, 2018, 64: 426-452.
[25]GUO X, JIN Y F. Novel algorithm for flexible multibody systems with hybrid uncertainties[J]. Applied Mathematical Modelling, 2023, 113: 573-595.
[26]GUO X, JIN Y F. Data-driven polynomial chaos- interval metamodel for dynamics and reliability analysis under hybrid uncertainty[J]. Probabilistic Engineering Mechanics, 2023, 74: 103538.
[27]MENG J W, JIN Y F. An improved polynomial chaos- Legendre metamodel method for hybrid uncertainty analysis of flexible multibody systems[J]. Communications in Nonlinear Science and Numerical Simulation, 2025, 147: 108853.
[28]MENG J W, JIN Y F. A dimension reduction metamodeling approach for hybrid uncertainties quantification and response prediction[J]. Nonlinear Dynamics, 2025, 113(17): 22723-22746.
[29]SHABANA A A, YAKOUB R Y. Three dimensional absolute nodal coordinate formulation for beam elements: theory[J]. Journal of Mechanical Design, 2001, 123(4): 606-613.
[30]SHABANA A A. Computer implementation of the absolute nodal coordinate formulation for flexible multibody dynamics[J]. Nonlinear Dynamics, 1998, 16(3): 293-306.
[31]LIU C, TIAN Q, YAN D, et al. Dynamic analysis of membrane systems undergoing overall motions, large deformations and wrinkles via thin shell elements of ANCF[J]. Computer Methods in Applied Mechanics and Engineering, 2013, 258: 81-95.
[32]HUO H, XU W T, WANG W P, et al. New non- intrusive stochastic finite element method for plate structures[J]. Computers & Structures, 2022, 268: 106812.