Geometric nonlinear formulation and discretization method for a rectangular plate undergoing large overall motions

Mechanics Research Communications

Volumn 32, Issue 5, 2005, Pages 561-571

  Liu, Jinyang ^a   Hong, Jiazhen ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

Assumed mode method; Finite element method; Geometric nonlinear formulation

Indexed keywords

CANTILEVER BEAMS; COMPUTER SIMULATION; FINITE ELEMENT METHOD; FREQUENCIES; NONLINEAR SYSTEMS; SHEAR DEFORMATION; STIFFNESS;

ASSUMED MODE METHOD; GEOMETRIC NONLINEAR FORMULATION; RECTANGULAR PLATES; VIRTUAL POWER;

PLATES (STRUCTURAL COMPONENTS);

EID: 21244446957     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechrescom.2004.10.007     Document Type: Article

References (10)

1. A.K. Banerjee, and T.R. Kane Dynamics of a plate in large overall motion Journal of Applied Mechanics 56 1989 887 892
2. B. Chang, and A.A. Shabana Nonlinear finite element formulation for large displacement analysis of plates Journal of Applied Mechanics 57 1990 707 718
3. J.Z. Hong Computational Dynamics of Multibody System (in Chinese) 1999 China Higher Education Press Beijing
4. T.R. Kane, R.R. Ryan, and A.K. Banerjee Dynamics of a cantilever beam attached to a moving base Journal of Guidance, Control and Dynamics 10 1987 139 151
5. J.Y. Liu, and J.Z. Hong Geometric stiffening of Flexible Link System with Large Overall Motion Computers & structures 81 2003 2829 2841
6. O. Wallrapp, and R. Schwertassek Representation of geometric stiffening in multibody system simulation International Journal for Numerical Methods in Engineering 32 1991 1833 1850
7. S.C. Wu, E.J. Haug, and S.S. Kim A variational approach to dynamics of flexible multibody systems Mechanics of Structures and Machines 17 1 1989 3 32
8. H.H. Yoo, and J. Chung Dynamics of rectangular plates undergoing prescribed overall motion Journal of Sound and Vibration 239 1 2001 123 137
9. D.J. Zhang, and R.L. Huston On dynamic stiffening of flexible bodies having high angular velocity Mechanics of Structures and Machines 24 3 1996 313 329
10. D.J. Zhang, C.Q. Liu, and R.L. Huston On the dynamics of an arbitrary flexible body with large overall motion: An integrated approach Mechanics of Structures and Machines 23 3 1995 419 438