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For rock or soil slopes, as long as they are composed of approximately homogeneous materials, they can be simplified as a homogeneous elastic body with infinite long bottom and right boundaries, as shown in Fig. 1.
Acknowledgement The study was financially supported by the Natural Science Foundation of China (Grant No.: 50874047, 11172101).
International Journal for Numerical and Analytical Methods in Geomechanics, 26(2002)1573-1590
International Journal for Numerical and Analytical Methods in Geomechanics, 33(14) (2009)1673-1689
Journal of Xi’an Mining Institute, 22 (1) (1994)1-5

During this phase, boundary conditions are defined like material properties, flow velocities, and fluid viscosity.
PESARAN, Battery thermal models for hybrid vehicle simulations, Journal of Power Sources, Vol. 110, No. 2, pp. 377-382, 2002
LEE, Multi-Domain Modeling of Lithium-Ion Batteries Encompassing Multi-Physics in Varied Length Scales, Journal of The Electrochemical Society, Vol. 158, No. 8, pp.
LEE, Multi-Domain Modeling of Lithium-Ion Batteries Encompassing Multi-Physics in Varied Length Scales, Journal of The Electrochemical Society, Vol. 158, No. 8, pp.
World Electric Vehicle Journal, 1(1), 126–133. https://doi.org/10.3390/wevj1010126.

Introduction Steel is often used as a structural material since it has good tensile and compressive property whose high ductility can absorb the seismic energy [1].
Acknowledgements This work was financially supported by the China Natural Science Foundation (50778008 and 51178014).
Wuhan: Wuhan University of Technology Press, 2003, (In Chinese) [2] Whittaker Andrew; Journal of Structural Design of Tall Building Vol. 17 No. 11 (1998), p. 897-912 (In Chinese) [3] Nakashima M.: Journal of Engineering Structures Vol. 20 No. 4-6 (1998), p. 271-281 (In Chinese) [4] Qingrui Yue.
Journal of Industrial Construction Vol. 30 No. 10 (2000), p. 23-26 (In Chinese) [5] Xinmin Wang.
Beijing: People's Traffic Press, 2007, (In Chinese) [6] Zhengchun Nie and Quanming Li: Journal of Sichuan Construction Vol. 30 No. 4 (2010), p. 183-185 (In Chinese)

The journal orbit of rotor and stability of the system are analyzed by the symmetrical rigid rotor model in references [1].
The journal orbit of the rotor and its stability are determined by using shooting method and generalized shooting method in references [3, 4].
E, I are the elastic modulus and equatorial inertia moment of section of rotor, l is the distance between two bearings, β=0.00193 is material coefficient, fxa and fya are nonlinear oil film forces of two bearings in negative x, y directions respectively, g is the acceleration of gravity, are unbalanced mass eccentricities of bearing and disk in x and y directions, respectively.
X: Journal of Sound and Vibration.
J., YU L., LIU H: Chinese Journal of Mechanical Engineering (English Edition).

This problem is related to many factors such as material, environment and age etc.
Xiao: Journal of Highway and Transportation Research and Development, Vol.24, 47-50, 2007（In Chinese）
Lou: Journal of Highway and Transportation Research and Development, Vol.23, 84-87, 2006（In Chinese）
Yu: Journal of Chong Qing Jiao Tong University (Natural Science), Vol.26, 6-8,41, 2007（In Chinese）
Xu: Journal of Chong Qing Jiao Tong University (Natural Science), Vol.26, 9-13, 2007（In Chinese）.

Cheng: International Journal of Advanced Manufacturing Technology Vol. 20 (2002), p.631-636 [3] R.I.
Liu: Key Engineering Materials Vol. 258-259 (2004), p.462-465 [5] Y.
Ozel: International Journal of Machine Tools and Manufacture Vol. 48 (2008), p.195-208 [6] S.T.
Lei: International Journal of Machine Tools and Manufacture Vol. 42 (2002), p.653-658 [7] Y.
Dang: The International Journal of System & Cybernetics Vol. 33 (2004), p.295-302

E is Young’s modulus of the beam material, I is the moment of inertia, is the mass density per unit length of the beam.
Acknowledgements This work was financially supported by the National Natural Science Foundation(61311603).
References [1] S.A.Q.Siddiqui, M.F.Golnaraghi, G.R.Heppler: International Journal of Non-Linear Mechanics, Vol. 38 (2003), p. 1481-1493 [2] B.Tabarrok, C.M.Leech, Y.I.Kim: Journal of the Franklin Institute, Vol.297(1974), p.201-220
[3] Binghua Luo, Yuefei Gao, Ronghua Liu: Journal of Vibration and Shock, Vol.30(2011), p.59-63.
[5] A.Nikkhoo, F.R.Rofooei, M.R.Shadnam: Journal of Sound and Vibration, Vol.306(2007) [6] Yougang Tang: Advanced Structural Dynamics[M].

The batch processes are different from the general industrial processes because of the complex mechanism, complicated operation and impacts of uncertainties such as raw materials, equipment status or environmental conditions on the quality of products.
Wang, in: Journal of Automation, Vol. 12 (2010) No.3, p.305
Gao: Journal of Chemical Engineering, Vol. 23 (2008) No.11, p.326
Lu: Journal of Chemical Engineering, Vol. 6 (2008) No.7, p.117
Zhang: Chemical Engineering Science, Vol. 64 (2009) No.2, p.801

He made an inference that the cohesionless material would appear arching effect, which was based on the research of the tunnel roof subsidence.
Journal of Southwest Jiao Tong University, 2003, 38(4): 398-402
Journal of Hohai University, 2005, 33(3): 314-317
Journal of Xi'an University of Science and Technology, 2008, 28(4): 647-650
Journal of underground space and engineering, 2012, 8(5): 910-915

Intact rock in the present model is considered as an elastic-perfect plastic material that follows Mohr-Coulomb failure criterion.
Chinese Journal of Rock Mechanics and Engineering. 30(2011) 974-981
Chinese Journal of Rock Mechanics and Engineering. 23 (2004) 3659-3663
Chinese Journal of Geotechnical Engineering. 30(2008) 1372-1375
Chinese Journal of Rock Mechanics and Engineering. 23(2004) 3381-3388.