Shape Optimization of a Rotating Cantilever Beam Considering Its Modal and Stress Characteristics

- Journal title : Transactions of the Korean Society of Mechanical Engineers A
- Volume 25, Issue 4, 2001, pp.645-653
- Publisher : The Korean Society of Mechanical Engineers
- DOI : 10.22634/KSME-A.2001.25.4.645

Title & Authors

Shape Optimization of a Rotating Cantilever Beam Considering Its Modal and Stress Characteristics

Yun, Yeong-Hun; Yu, Hong-Hui;

Yun, Yeong-Hun; Yu, Hong-Hui;

Abstract

It is well known that natural frequencies increase when a cantilever beam rotates about the axis perpendicular to its longitudinal axis. Such phenomena that are caused by centrifugal inertia forces are often referred to as the stiffening effects. Occasionally it is necessary to control the variation of a natural frequency or the maximum stress of a rotating beam. By changing the thickness of the rotating beam, the modal or the stress characteristics can be changed. The thickness of the rotating beam is assumed to be a cubic spline function in the present work. An optimization method is employed to find the optimal thickness shape of the rotating beam. This method can be utilized for the design of rotating structures such as turbine blades and aircraft rotary wings.

Keywords

Cantilever Beam;Rotating Angular Speed;Modal Analysis;Natural Frequency Variation;Stress Distribution;Shape Optimization;

Language

Korean

Cited by

1.

Shape Optimization of Rotating Cantilever Beams Considering Their Varied Modal Characteristics,Cho, Jung-Eun;Yoo, Hong-Hee;

Journal of Mechanical Science and Technology, 2004. vol.18. 2, pp.246-252

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.

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

3.

Carnegie, W., 1959, 'Vibrations of Rotating Cantilever Blading: Theoretical Approaches to the Frequency Problem Based on Energy Methods,' J. Mechanical Engineering Sci., Vol. 1, pp. 235-240

4.

Yntema, R., 1955, 'Simplified Procedures and Charts for the Rapid Estimation of Bending Frequencies of Rotating Beams,' NACA 3459

5.

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

6.

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

7.

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

8.

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

9.

Kane, T. and Levinson, D., 1985, Dynamics: Theory and Applications, McGraw-Hill Book Co., New York, N. Y.

10.

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

11.

최창민, 유홍희, 양현익, 2000, '회전 외팔보의 과도상태 진동시 발생하는 응력 분포 연구,' 한국 소음진동공학회지, 제10권, 제2호, pp. 306-311

12.

Vanderplaats, G. N., 1985, ADS Manual, Engineering Design Optimization Inc., Santa Barbara