Dynamics of a Rotating Cantilever Beam Near Its Critical Angular Speed

- Journal title : Transactions of the Korean Society of Mechanical Engineers A
- Volume 24, Issue 5, 2000, pp.1231-1237
- Publisher : The Korean Society of Mechanical Engineers
- DOI : 10.22634/KSME-A.2000.24.5.1231

Title & Authors

Dynamics of a Rotating Cantilever Beam Near Its Critical Angular Speed

Choe, Chang-Min; Yu, Hong-Hui;

Choe, Chang-Min; Yu, Hong-Hui;

Abstract

Dynamics of a rotating cantilever beam near its critical angular speed is investigated in this paper. The external, force is idealized as a periodic function which has the same period as the rotati ng frequency of the beam. The equations of motion are derived and transformed into a dimensionless form. A prescribed spin-up motion is employed for the rotating motion. Numerical study shows that the steady state and the transient responses of the beam are affected by the spin-up time constant and there exists a time constant at which the maximum transient response becomes minimum.

Keywords

Rotating Cantilever Beams;Critical Angular Speed;Natural Frequency Variation;Slenderness Ratio;Hub Radius Ratio;External Force Ratio;Gyroscopic Damping Effect;

Language

Korean

Cited by

References

1.

Southwell, R. and Gough, F., 1921, 'The Free Transverse Vibration of Airscrew Blades,' British A. R. C. Reports and Memoranda No.766

2.

Scilhansl, M., 1958, 'Bending Frequency of a Rotating Cantilever Beam,' J. of Appl. Mech. Trans. Am. Soc. Mech. Engrs, 25, pp. 28-30

3.

Putter, S. and Manor, H., 1978, 'Natural Frequencies of Radial Rotating Beams,' J. Sound and Vibration, Vol. 56, pp. 175-185

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,' Jounal of Applied Mechanics, Vol. 53, pp. 849-863

5.

Chirstensen, E. and Lee, S., 'Nonlinear Finite Element Modeling of the Dynamics of Unrestrained Flexible Structures,' Computers and Structures, 23, 1986, pp. 819-829

6.

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

7.

Yoo, H., Ryan, R. and Scott, R., 'Dynamics of Flexible Beams Undergoing Overall Motions,' J. of Sound and Vibration, Vol.181, No.2, 1995, pp. 261-278

8.

Yoo, H. and Shin, S. W., 'Vibration Analysis of Rotating Cantilever Beams,' J. of Sound and Vibration. Vol.212, No.5, 1998, pp. 807-828

9.

유홍희 1992, '회전 외팔보의 굽힘 진동해석,' 대한기계학회논문집, 제16권, 제5호, pp. 891-898

10.

유홍희 1996, '집중질량의 영향을 고려한 회전 외팔보 진동해석,' 대한기계학회논문집, 제20 권, 제 8호, pp. 2516-2523

11.

신상하, 유홍희 1996, '인장-굽힘 운동간 연성효과를 고려한 회전 외팔보의 진동해석,' 한국항공우주 학회지, 제24권, 제2호, pp. 77-84