KSME International Journal

, Volume 18, Issue 2, pp 246–252 | Cite as

Shape optimization of rotating cantilever beams considering their varied modal characteristics

  • Jung Eun Cho
  • Hong Hee Yoo
Materials & Fracture · Solids & Structures · Dynamics & Control · Production & Design


The modal characteristics of rotating structures vary with the rotating speed. The material and the geometric properties of the structures as well as the rotating speed influence the variations of their modal characteristics. Very often, the modal characteristics of rotating structures need to be specified at some rotating speeds to meet their design requirements. In this paper, rotating cantilever beam is chosen as a design target structure. Optimization problems are formulated and solved to find the optimal shapes of rotating beams with rectangular cross section.

Key Words

Shape Optimization Rotating Cantilever Beam Modal Characteristics 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Arora, J., 1989,Introduction To Optimum Design, McGraw-Hill Book Co., New York, N.Y.Google Scholar
  2. 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.CrossRefGoogle Scholar
  3. Kane, T. and Levinson, D., 1985,Dynamics: Theory and Applications, McGraw-Hill Book Co., New York, N.Y.Google Scholar
  4. Kane, T., Ryan, R. and Banerjee, A., 1987, “Dynamics of Cantilever Beam Attached to a Moving Base, “J. of Guidance, Control, and Dynamics, Vol. 10, pp. 139–151.CrossRefGoogle Scholar
  5. Putter, S. and Manor, H., 1978, “Natural Frequencies of Radial Rotating Beams,”J. Sound and Vibration, Vol. 56, pp. 175–185.MATHCrossRefGoogle Scholar
  6. Schilhansl, M., 1958, “Bending Frequency of a Rotating Cantilever Beam,” J. of Appl. Mech. Trans. Am. Soc. Mech. Engrs, Vol. 25, pp. 28–30.MATHMathSciNetGoogle Scholar
  7. Southwell, R. and Gough, F., 1921, “The Free Transverse Vibration of Airscrew Blades,”British A.R.C. Reports and Memoranda, No. 766.Google Scholar
  8. DOT User Manual, Vanderplaates Research and Development, Inc., 1995.Google Scholar
  9. Yntema, R., 1955, “Simplified Procedures and Charts for the Rapid Estimation of Bending Frequencies of Rotating Beams,” NACA 3459.Google Scholar
  10. 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.CrossRefGoogle Scholar
  11. Yoo, H. and Shin, S., 1998, “Vibration Analysis of Rotating Cantilever Beams,”J. of Sound and Vibration, Vol. 212, No. 5, pp. 807–828.CrossRefGoogle Scholar
  12. Yun, Y. and Yoo, H., 2001, “Shape Optimization Modal and Stress Characteristics,”Transactions of the KSME, A, Vol. 25, No. 4, pp. 645–653.Google Scholar

Copyright information

© The Korean Society of Mechanical Engineers (KSME) 2004

Authors and Affiliations

  1. 1.School of Mechanical EngineeringHanyang UniversitySeoulKorea

Personalised recommendations