Degradation of critical current in Bi2212 composite wire under compression load

doi:10.1007/s10483-017-2284-8

Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (12): 1785-1802.doi: https://doi.org/10.1007/s10483-017-2284-8

• 论文 • 上一篇

Degradation of critical current in Bi2212 composite wire under compression load

Yun PENG^1,2, Yadong WEI¹, Ming ZHOU²

1. Science and Technology Innovation Institute, Dongguan University of Technology Dongguan 523808, Guangdong Province, China;
2. School of Aerospace Engineering, Tsinghua University, Beijing 100084, China

收稿日期:2017-01-15 修回日期:2017-05-22 出版日期:2017-12-01 发布日期:2017-12-01
通讯作者: Yadong WEI E-mail:weiyd@dgut.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (No. 11302114), the Major State Basic Research Development Program (No. 2012CB821203), and the Guangdong Provincial Key Laboratory Construction Project of China (No. 2011A060901026)

Efficient modeling of cable-pulley system with friction based on arbitrary-Lagrangian-Eulerian approach

Yun PENG^1,2, Yadong WEI¹, Ming ZHOU²

1. Science and Technology Innovation Institute, Dongguan University of Technology Dongguan 523808, Guangdong Province, China;
2. School of Aerospace Engineering, Tsinghua University, Beijing 100084, China

Received:2017-01-15 Revised:2017-05-22 Online:2017-12-01 Published:2017-12-01
Contact: Yadong WEI E-mail:weiyd@dgut.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11302114), the Major State Basic Research Development Program (No. 2012CB821203), and the Guangdong Provincial Key Laboratory Construction Project of China (No. 2011A060901026)

摘要/Abstract

摘要： In conventional modeling of a cable-pulley system, the cable must be finely meshed with Lagrangian elements for valid contact detections with pulleys, leading to extremely low efficiency. The sliding joint method based on the arbitrary-LagrangianEulerian (ALE) formulation still lacks an efficient cable element, and in particular, modeling of friction between a sliding joint and the cable has not been studied. This paper presents efficient multi-body modeling of a cable-pulley system with friction. A variablelength cable element with a node movable along the cable, which is described with ALE, is developed to mesh the cable. A transitional cable element is then proposed to model the contact part of the cable by fixing its two nodes to the two corresponding locations of the pulley. Friction of the cable-pulley is derived as a simple law of tension decay and embedded in the multi-body system modeling. It is simplified as a generalized friction force acting only on the arc-length coordinate. This approach can use a rough mesh on the cable, and is free of contact detections, thus significantly saving computation time. Several examples are presented to validate the proposed method, and show its effectiveness in real engineering applications.

关键词: stenosis, plasma layer, tubular pinch effect, oscillatory flow, longitudinal impedance, smooth effects, friction, dynamics, cable-pulley system, arbitrary-Lagrangian-Eulerian (ALE), length-variable, cable tension decay

Abstract: In conventional modeling of a cable-pulley system, the cable must be finely meshed with Lagrangian elements for valid contact detections with pulleys, leading to extremely low efficiency. The sliding joint method based on the arbitrary-LagrangianEulerian (ALE) formulation still lacks an efficient cable element, and in particular, modeling of friction between a sliding joint and the cable has not been studied. This paper presents efficient multi-body modeling of a cable-pulley system with friction. A variablelength cable element with a node movable along the cable, which is described with ALE, is developed to mesh the cable. A transitional cable element is then proposed to model the contact part of the cable by fixing its two nodes to the two corresponding locations of the pulley. Friction of the cable-pulley is derived as a simple law of tension decay and embedded in the multi-body system modeling. It is simplified as a generalized friction force acting only on the arc-length coordinate. This approach can use a rough mesh on the cable, and is free of contact detections, thus significantly saving computation time. Several examples are presented to validate the proposed method, and show its effectiveness in real engineering applications.

Key words: stenosis, plasma layer, tubular pinch effect, oscillatory flow, longitudinal impedance, smooth effects, friction, cable tension decay, arbitrary-Lagrangian-Eulerian (ALE), cable-pulley system, dynamics, length-variable

中图分类号:

70E55

Yun PENG, Yadong WEI, Ming ZHOU. Degradation of critical current in Bi2212 composite wire under compression load[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(12): 1785-1802.

Yun PENG, Yadong WEI, Ming ZHOU. Efficient modeling of cable-pulley system with friction based on arbitrary-Lagrangian-Eulerian approach[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(12): 1785-1802.

参考文献

[1] Yao, R., Tang, X. Q., Wang, J. S., and Huang, P. Dimensional optimization design of the fourcable-driven parallel manipulator in FAST. IEEE/ASME Transactions on Mechatronics, 15, 932-941(2010)
[2] Riemenschneider, J., Mahrholz, T., Mosch, J., Monner, H. P., and Melcher, J. System response of nanotube based actuators. Mechanics of Advanced Materials and Structures, 14, 57-65(2007)
[3] You, Z. and Pellegrino, S. Cable-stiffened pantographic deployable structures Ⅱ:mesh reflector. AIAA Journal, 35, 1348-1355(1997)
[4] Smith, T., Lee, B., Semler, D., and Chae, D. A large S-band antenna for a mobile satellite. Space 2004 Conference and Exhibit, American Institute of Aeronautics and Astronautics, San Diego (2004)
[5] Kimiaghalam, B., Homaifar, A., and Bikdash, M. Pendulation suppression of a shipboard crane using fuzzy controller. American Control Conference, Institute of Electrical and Electronic Engineers, San Diego (1999)
[6] Irvine, H. M. Cable Structures, MIT Press, Cambridge (1981)
[7] Li, Y., Feng, X. Q., Cao, Y. P., and Gao, H. J. A Monte Carlo form-finding method for large scale regular and irregular tensegrity structures. International Journal of Solids and Structures, 47, 1888-1898(2010)
[8] Zhang, L. Y., Zhao, H. P., and Feng, X. Q. Constructing large-scale tensegrity structures with bar-bar connection using prismatic elementary cells. Archive of Applied Mechanics, 85, 383-394(2015)
[9] Zhang, L. Y., Li, Y., Cao, Y. P., and Feng, X. Q. Stiffness matrix based form-finding method of tensegrity structures. Engineering Structures, 58, 36-48(2014)
[10] Li, B., Li, Y. H., and Ying, X. G. Dynamic modeling and simulation of flexible cable with large sag. Applied Mathematics and Mechanics (English Edition), 21, 707-714(2000) DOI 10.1007/BF02460190
[11] Yang, C. J. and Ren, G. X. Dynamic simulation of multifold deployable rings. AIAA Journal, 52, 1555-1559(2014)
[12] Ma, Y. H., He, M. H., Shen, W. H., and Ren, G. X. A planar shock isolation system with highstatic-low-dynamic-stiffness characteristic based on cables. Journal of Sound and Vibration, 358, 267-284(2015)
[13] Kamman, J. W. and Huston, R. L. Modeling of variable length towed and tethered cable systems. Journal of Guidance, Control, and Dynamics, 22, 602-608(1999)
[14] Kamman, J. W. and Huston, R. L. Multibody dynamics modeling of variable length cable systems. Multibody System Dynamics, 5, 211-221(2001)
[15] Williams, P. and Trivailo, P. Dynamics of circularly towed aerial cable systems Ⅱ:transitional flight and deployment control. Journal of Guidance, Control, and Dynamics, 30, 766-779(2007)
[16] Williams, P., Lansdorp, B., and Ockels, W. Modeling and control of a kite on a variable length flexible inelastic tether. AIAA Modeling and Simulation Technologies Conference and Exhibit, American Institute of Aeronautics and Astronautics, Hilton Head (2007)
[17] Du, J. L., Cui, C. Z., Bao, H., and Qiu, Y. Y. Dynamic analysis of cable-driven parallel manipulators using a variable length finite element. Journal of Computational and Nonlinear Dynamics, 10, 011013(2015)
[18] Yu, L., Zhao, Z. H., Tang, J. L., and Ren, G. X. Integration of absolute nodal elements into multibody system. Nonlinear Dynamics, 62, 931-943(2010)
[19] Seo, J. H., Sugiyama, H., and Shabana, A. A. Three-dimensional large deformation analysis of the multibody pantograph/catenary systems. Nonlinear Dynamics, 42, 199-215(2005)
[20] Sugiyama, H., Escalona, J. L., and Shabana, A. A. Formulation of three-dimensional joint constraints using the absolute nodal coordinates. Nonlinear Dynamics, 31, 167-195(2003)
[21] Lee, S. H., Park, T. W., Seo, J. H., Yoon, J. W., and Jun, K. J. The development of a sliding joint for very flexible multibody dynamics using absolute nodal coordinate formulation. Multibody System Dynamics, 20, 223-237(2008)
[22] Belytschko, T., Liu, W. K., Moran, B., and Elkhodary, K. I. Nonlinear Finite Elements for Continua and Structures, 2nd ed., John Wiley and Sons, Chichester (2014)
[23] Hong, D. F. and Ren, G. X. A modeling of sliding joint on one-dimensional flexible medium. Multibody System Dynamics, 26, 91-106(2011)
[24] Hong, D. F., Tang, J. L., and Ren, G. X. Dynamic modeling of mass-flowing linear medium with large amplitude displacement and rotation. Journal of Fluids and Structures, 27, 1137-1148(2011)
[25] Ma, Y. H., Hong, D. F., Cheng, Z. B., Cao, Y. F., and Ren, G. X. A multibody dynamic model of the drilling system with drilling fluid. Advances in Mechanical Engineering, 8, 1-16(2016)
[26] Ferdinand, P., Beer, E., Russell, J., and David, F. M. Vector Mechanics for Engineers:Statics, 10th ed., McGraw-Hill, New York, 449-451(2013)
[27] Hu, Z. D. and Hong, J. Z. Modeling and analysis of a coupled rigid-flexible system. Applied Mathematics and Mechanics (English Edition), 20, 1167-1174(1999) DOI 10.1007/BF02460335
[28] Hairer, E. and Wanner, G. Solving Ordinary Differential Equations Ⅱ:Stiff and DifferentialAlgebraic Problems, 2nd ed., Springer, Berlin (2010)
[29] Petzold, L. and Lötstedt, P. Numerical solution of nonlinear differential equations with algebraic constraints Ⅱ:practical implications. SIAM Journal on Scientific and Statistical Computing, 7, 720-733(1986)
[30] Cao, D. Z., Qiang, H. F., and Ren, G. X. Parallel computing studies of flexible multibody system dynamics using OpenMP and Pardiso (in Chinese). Journal of Tsinghua University (Science and Technology), 52, 1643-1649(2012)

Degradation of critical current in Bi2212 composite wire under compression load

Efficient modeling of cable-pulley system with friction based on arbitrary-Lagrangian-Eulerian approach

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