Browse > Article
http://dx.doi.org/10.3795/KSME-A.2003.27.6.1014

Dynamic Modeling Method for Beams Undergoing Overall Rigid Body Motion Considering Two Geometric Non-linear Effects  

Kim, Na-Eun (한양대학교 대학원)
Yoo, Hong-Hee (한양대학교 기계공학부)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.27, no.6, 2003 , pp. 1014-1019 More about this Journal
Abstract
A dynamic modeling method for beams undergoing overall rigid body motion is presented in this paper. Two special deformation variables are introduced to represent the stretching and the curvature and are approximated by the assumed mode method. Geometric constraint equations that relate the two special deformation variables and the cartesian deformation variables are incorporated into the modeling method. By using the special deformation variables, all natural as well as geometric boundary conditions can be satisfied. It is shown that the geometric nonlinear effects of stretching and curvature play important roles to accurately predict the dynamic response when overall rigid body motion is involved.
Keywords
Dynamic Modeling Method; Overall Rigid Body Motion; Geometric Non-linear Effect; Mode Approximation Method;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 Kane, T., Ryan, R., and Banerjee, A., 1987, 'Dynamics of Cantilever Beam Attached to a Moving Base,' Journal of Guidance, Control and Dynamics, 10, pp. 139-151   DOI   ScienceOn
2 Yoo, H., 1995, 'Reliability of the Classical Linear Modeling in the Dynamic Analysis of Flexible Structures,' Transaction of the KSME, A, Vol. 19, No. 7, pp. 1657-1664   과학기술학회마을
3 Christensen, E. and Lee, S., 1986, 'Nonlinear Finite Element Modeling of the Dynamics of Unrestrained Flexible Structures,' Computers and Structures, 23, pp. 819-829   DOI   ScienceOn
4 Simo, J. and Vu-Quoc, L., 1986, 'On the Dynamics of Flexible Beams Under Large Overall Motions-the Plane Case: Part I and Part II,' Journal of Applied Mechanics, 53, pp. 849-863   DOI
5 Simo, J. and Vu-Quoc, L., 1986, 'On the Dynamics of Flexible Beams Under Large Overall Motions-the Plane Case: Part I and Part II,' Journal of Applied Mechanics, 53, pp. 849-863   DOI
6 Yoo, H, Ryan, R. and Scott R., 1995, 'Dynamics of Flexible Beams Undergoing Overall Motion,' Journal of Sound and Vibration, 181(2), pp. 261-278   과학기술학회마을   DOI   ScienceOn
7 Yoo, H., 1995, 'Dynamic Analysis of Flexible Structures Undergoing Large Overall Motion,' Transaction of the KSME, A, Vol. 19, No.6, pp. 1363-1370   과학기술학회마을
8 Crespo da Silva, M. R. M., and Glynn, C. C., 1978, 'Nonlinear Flexural-Flexural-Torsional Dynamics of Inextensional Beams. I. Equations of Motion,' Journal of Structural Mechanics, Vol. 6, pp. 437-448   DOI
9 Ho, J., 1977, 'Direct Path Method for Flexible. Multibody Spacecraft Dynamics,' Journal of Spacecraft and Rockets, Vol. 14, pp. 102-110   DOI   ScienceOn
10 Bodley, C., Devers, A. Park, A. and Frisch, H., 1978, 'A Digital Computer Program for the Dynamic Interaction Simulation of Controls and Structure (DISCOS),' NASA TP-1219, Vols. 1 & 2