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A Finite Element Analysis for a Rotating Cantilever Beam
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 Title & Authors
A Finite Element Analysis for a Rotating Cantilever Beam
Jeong, Jin-Tae; Yu, Hong-Hui; Kim, Gang-Seong;
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A finite element analysis for a rotating cantilever beam is presented in this study. Based on a dynamic modeling method using the stretch deformation instead of the conventional axial deformation, three linear partial differential equations are (derived from Hamilton's principle. Two of the linear differential equations show the coupling effect between stretch and chordwise deformations. The other equation is an uncoupled one for the flapwise deformation. From these partial differential equations and the associated boundary conditions, two weak forms are derived: one is for the chordwise motion and the other is fur the flptwise motion. The weak farms are spatially discretized with newly defined two-node beam elements. With the discretized equations or the matrix-vector equations, the behaviors of the natural frequencies are investigated for the variation of the rotating speed.
Rotating Cantilever Beam;Stretch Deformation;Finite Element Method;Natural Frequency Variation;
 Cited by
Southwell,R. and Gough,F., 1921, 'The Free Transverse Vibratioin of Airscrew Blades,' British A.R.C. Reports and Memeranda, No. 766

Schilhansl, M., 1958, 'Bending Frequency of a Rotating Cantilever Beam,' ASME Journal of Applied Mechanics, Vol. 25, pp. 28-30

Putter, S. and Manor, H., 1978, 'Natural Frequencies of Radial Rotating Beams,' Journal of Sound and Vibration, Vol. 56, pp. 175-185 crossref(new window)

Bauer, H.F., 1980, 'Vibration of a Rotating Uniform Beam,' Journal of Sound and Vibration, Vol. 72, pp. 177-189 crossref(new window)

유홍회, 1992, '회전 외팔보의 굽힘 진동해석,' 대한기계학회논문집, 제16권, 제5호, pp. 891-3898

Yoo, H. H. and Shin, S. H., 1998, 'Vibration Analysis of Rotating Cantilever Beams,' Journal of Sound and Vibration, Vol. 212, pp. 807-828 crossref(new window)

Hfisch, H., 1975, 'A Vector-Dyadic Development of the Equations of Motion for N-Couloed Flexible Bodies and Point Masses,' NASA TN D-8047

Ho, J., 1977, 'Direct Path Mathod for Flexible Multibody Spacecraft Dynamics,' Journal of Spacecraft and Rockets, Vol. 14, pp. 102-110

Bodley, C., Dever, A., Park, A., and Frisch, A., 1978, 'A Digital Computer Program for the Dynamic Interaction Simulation of Controls and Structure,' NASA TP-1219

Belytschko, T. and Hsieh, B., 1973, 'Non-Linear Transient Finite Element Analysis with convected Coordiantes,' International Journal for Numerical Methods in Engineering, Vol. 7, pp. 255-271 crossref(new window)

Simo, J. and Vu-Quoc, L., 1987, 'On the Dynamics of Flexible Beams Under Large Overall Motions-the Plane Case : Part I and Part II,' ASME Journal of Applied Mechanics, Vol. 53, pp. 849-863

Christensen, E. and Lee, S., 1986, 'Non-Linear Finite Element Modelling of the Dynamic System of Unrestrained Flexible Stuctures,' Computer & Structures, Vol. 23, pp. 819-829 crossref(new window)

Yoo, H. H., Ryan, R. R., and Scott, R.,A., 1995, 'Dynamics of Flexible Beams Undergoing Overall Motion,' Journal of Sound and Vibration, Vol. 181, pp. 261-278 crossref(new window)

Chung, J. and Hulbert, G. M., 1993, 'A Time Integration Algorithm for Structural Dynamics with Improved Numerical Dissipation : the Generalized-${\alpha}$ Method,' ASME Journal of Applied Mechanics, Vol. 60, pp. 371-375

Kane, T. R., Ryne, R. R., and Banerjee, A. K., 1987, 'Dynamics of a Cantilever Beam Attached to a Moving Base,' Journal of Guidance, Control, and Dynamics, Vol. 10, pp. 139-151