Geometric stiffening of timoshenko beams

Journal of Applied Mechanics, Transactions ASME

Volumn 65, Issue 4, 1998, Pages 923-929

  Oguamanam, D C D ^a   Heppler, G R ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000678182     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2791936     Document Type: Article

References (27)

1. Abbas, B. A. H., 1986, “Dynamic Stability of a Rotating Timoshenko Beam With a Flexible Root,” Journal of Sound and Vibration, Vol. 108, No. 1, pp. 25-32.
2. Bellezza, F., Lanari, L., and Ulivi, G., 1990, “Exact Modeling of the Flexible Slewing Link,” Proc. IEEE Int. Conf on Robotics and Automation, Cincinnati, Vol. 3, pp. 734-739.
3. Damaren, C., and Sharf, I., 1995, “Simulation of Flexible-Link Manipulators With Inertia and Geometric Nonlinearities,” ASME Journal of Dynamic Systems, Measurement and Control, Vol. 117, pp. 74-87.
4. Datta, P. K., and Ganguli, R., 1990, “Vibration Characteristics of a Rotating Blade with Localized Damage Including the Effects of Shear Deformation and Rotary Inertia,” Computers and Structures, Vol. 36, No. 6, pp. 1129-1133.
5. Hoa, S. V., 1979, “Vibration of Rotating Beam With Tip Mass,” J. Sound and Vibration, Vol. 67, pp. 369-381.
6. Hoa, S. V., Hodges, D. H and Rutkowski, M. J., 1980, “Comments on ‘Vibration of a Rotating Beam with Tip Mass,” Journal of Sound and Vibration, Vol. 72, No. 4, pp. 547-549.
7. Hodges, D. H., 1981, “An Approximate Formula for the Fundamental Frequency of Uniform Rotating Beams Clamped Off the Axis of Rotation,” Journal of Sound and Vibration, Vol. 77, No.1, pp. 11-18.
8. Hodges, Dewey H., 1990, “A Mixed Variational Formulation Based on Exact Intrinsic Equations for Dynamics of Moving Beams,” International Journal of Solids and Structures, Vol. 26, No. 11, pp. 1253-1273.
9. Huang, T. C., 1961, “The Effect of Rotary Inertia and of Shear Deformation on the Frequency and Normal Mode Equations of Uniform Beams With Simple End Conditions,” ASME Journal of Applied Mechanics, Vol. 28, pp. 579-584.
10. Kojima, H., 1986, “Transient Vibrations of a Beam/Mass System Fixed to a Rotating Body,” J. Sound and Vibration, Vol. 107, pp. 149-154.
11. Oguamanam, D. C. D., and Heppler, G. R., 1995, “Centrifugal Stiffening of a Timoshenko Beam,” Construct Technical Report, TR95-00I, University of Waterloo, Waterloo, ON, Canada.
12. Putter, S., and Manor, H., 1978, “Natural Frequencies of Radial Rotating Beams,” J. Sound and Vibration, Vol. 56, pp. 175-185.
13. Sadigh, M. J., and Misra, A. K., 1995, “More on the So-Called Dynamic Stiffening Effect,” J. Astro. Sci., Vol. 43, No. 2, pp. 101-125.
14. Simo, J. C., 1985, “A Finite Strain Beam Formulation. The Three Dimensional Dynamic Problem. Part I,” Computer Methods in Applied Mechanics and Engineering, Vol. 49, pp. 55-70.
15. Simo, J. C., and Vu-Quoc, L., 1986a, “On the Dynamics of Flexible Beams Under Large Overall Motions—The Plane Case: Part I,” ASME Journal of Applied Mechanics, Vol. 53, pp. 849-854.
16. Simo, J. C., and Vu-Quoc, L., 1986b, “On the Dynamics of Flexible Beams Under Large Overall Motions—The Plane Case: Part II,” ASME Journal of Applied Mechanics, Vol. 53, pp. 855-863.
17. Simo, J. C., and Vu-Quoc, L., 1987, “The Role of Nonlinear Theories in Transient Dynamic Analysis of Flexible Structures,” Journal of Sound and Vibration, Vol. 119, No. 3, pp. 487-508.
18. Stafford, R. O., and Giurgiurtiu, V., 1975, “Semi-Analytic Methods for Rotating Timoshenko Beams,” International Journal of Mechanical Science, Vol. 17, pp. 719-727.
19. Strutt, J. W., (Lord Rayleigh) 1877, Theory of Sound, Macmillan, London.
20. Timoshenko, S. P., 1921, “On the Correction for Shear or the Differential Equations for Transverse Vibration of Prismatic Bars,” Philosophy Magazine, Ser. 6, Vol. 41, pp. 744-746.
21. Timoshenko, S., Young, D. H., and Weaver, W., 1974, Vibration Problems in Engineering, 4th Ed., John Wiley and Sons, New York.
22. Vu-Quoc, L., and Simo, J. C., 1987, “Dynamics of Earth-Orbiting Flexible Satellites With Multibody Components,” Journal of Guidance, Control and Dynamics, Vol. 10, No. 6, pp. 449-458.
23. Wang, F. Y., and Guan, G., 1994, “Influences of Rotating Inertia, Shear, and Loading on Vibrations of Flexible Manipulators,” J. Sound and Vibration, Vol. 171, pp. 433-452.
24. White, M. W. D., and Heppler, G. R., 1995, “Vibration Modes and Frequencies of Timoshenko Beams With Attached Rigid Bodies,” ASME Journal of Applied Mechanics, Vol. 62, pp. 193-195.
25. White, M. W. D., and Heppler, G. R., 1996, “Vibration of Rotating Timoshenko Beams,” ASME Journal of Vibration and Acoustics, Vol. 118, pp. 606-613.
26. Wright, A. D., Smith, C. E., Thresher, R. W., and Wang, J. L. C., 1982, “Vibration Modes of Centrifugally Stiffened Beams,” ASME Journal of Applied Mechanics, Vol. 49, pp. 197-202.
27. Yigit, A., Scott, R. A., and Ulsoy, A. G., 1988, “Flexural Motion of a Radially Rotating Beam Attached to a Rigid Body,” J. Sound and Vibration, Vol. 121, pp. 201-210.