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Shape Optimization of a Rotating Cantilever Beam Considering Its Modal and Stress Characteristics
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 Title & Authors
Shape Optimization of a Rotating Cantilever Beam Considering Its Modal and Stress Characteristics
Yun, Yeong-Hun; Yu, Hong-Hui;
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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.
Cantilever Beam;Rotating Angular Speed;Modal Analysis;Natural Frequency Variation;Stress Distribution;Shape Optimization;
 Cited by
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
Southwell, R. and Gough, F., 1921, 'The Free Transverse Vibration of Airscrew Blades,' British A. R. C. Reports and Memoranda No.766

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

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 crossref(new window)

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

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

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

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 crossref(new window)

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

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

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

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

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