A New Thin Spatial Beam Element Using the Absolute Nodal Coordinates: Application to a Rotating Strip#

作者: Wan-Suk Yoo , Oleg Dmitrochenko , Su-Jin Park , O-Kaung Lim

DOI: 10.1080/15367730500458267

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摘要: A new finite element of a thin spatial beam is proposed using the absolute nodal coordinate formulation (ANCF). In contrast to other large deformation formulations, equations motion contain constant mass matrices and generalized gravity forces as well zero centrifugal Coriolis inertia forces. The only nonlinear term vector elastic elements equation are developed in details including air resistance constraint satisfy boundary conditions. An application dynamics rotating light strip considered. results show possibility this problems.

参考文章(15)
Richard Schwertassek, Flexible Bodies in Multibody Systems NATO advanced study institute on computational methods in mechanisms. pp. 329- 363 ,(1998) , 10.1007/978-3-662-03729-4_14
O.N. Dmitrochenko, D.Yu. Pogorelov, Generalization of Plate Finite Elements for Absolute Nodal Coordinate Formulation Multibody System Dynamics. ,vol. 10, pp. 17- 43 ,(2003) , 10.1023/A:1024553708730
Klaus-Jürgen Bathe, Finite Element Procedures ,(1995)
Ahmed A. Shabana, Flexible Multibody Dynamics: Review of Past and Recent Developments Multibody System Dynamics. ,vol. 1, pp. 189- 222 ,(1997) , 10.1023/A:1009773505418
D. Pogorelov, Differential–algebraic equations in multibody system modeling Numerical Algorithms. ,vol. 19, pp. 183- 194 ,(1998) , 10.1023/A:1019131212618
M. BERZERI, A.A. SHABANA, DEVELOPMENT OF SIMPLE MODELS FOR THE ELASTIC FORCES IN THE ABSOLUTE NODAL CO-ORDINATE FORMULATION Journal of Sound and Vibration. ,vol. 235, pp. 539- 565 ,(2000) , 10.1006/JSVI.1999.2935
M.A. OMAR, A.A. SHABANA, A TWO-DIMENSIONAL SHEAR DEFORMABLE BEAM FOR LARGE ROTATION AND DEFORMATION PROBLEMS Journal of Sound and Vibration. ,vol. 243, pp. 565- 576 ,(2001) , 10.1006/JSVI.2000.3416
Werner O. Schiehlen, Multibody Systems Handbook ,(2012)
Oleg Dmitrochenko, WanSuk Yoo, Dmitry Pogorelov, Helicoseir as Shape of a Rotating String (I): 2D Theory and Simulation Using ANCF Multibody System Dynamics. ,vol. 15, pp. 135- 158 ,(2006) , 10.1007/S11044-005-9002-2
Sébastien Neukirch, GHM Van Der Heijden, JMT Thompson, Writhing instabilities of twisted rods: from infinite to finite length Journal of The Mechanics and Physics of Solids. ,vol. 50, pp. 1175- 1191 ,(2002) , 10.1016/S0022-5096(01)00130-2