Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-30T21:17:09.336Z Has data issue: false hasContentIssue false
  • English
  • Français

Receptance Methods in the Iterative Solution of Torsional Vibration Problems

Published online by Cambridge University Press:  04 July 2016

S. Mahalingam
S. Mahalingam*
Affiliation:
Department of Mechanical Engineering, University of Ceylon
Get access Rights & Permissions [Opens in a new window]

Extract

The Holzer method is widely used in the solution of the modes and frequencies of lumped parameter torsional systems. Basically the method consists of assuming an approximate value of the required frequency and, starting from one end of the system, determining the amplitudes of vibration station by station. Since the assumed frequency is an approximate one there will be a residual (torque or displacement) at the last station. The true frequency to be determined is that for which the residual is zero. Among the special advantages of the method are that any natural frequency may be obtained directly without a knowledge of the lower modes and, with the use of transfer matrices, the method may be readily adapted for the solution of complex vibration problems using a computer.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 70 , Issue 670 , October 1966 , pp. 953 - 955
Copyright
Copyright © Royal Aeronautical Society 1966

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Crandall, S. H. and Strang, W. G.An Improvement of the Holzer Table based on a Suggestion of Rayleigh's. J App Mech, Vol 24, No 2, p 228, 1957.CrossRefGoogle Scholar
2.Tong, K. N.Theory of Mechanical Vibration, Chapter 3, p 212. Wiley, 1960.Google Scholar
3.Mahalingam, S.An Improvement of the Holzer Method. J. App Mech, Vol 25, No 4, p 618, 1958.Google Scholar
4.Mahalingam, S.The Iterative Solution on Flexural Vibration Problems based on the Myklestad Method. Int J Mech Sci, Vol 4, p 241, 1962.Google Scholar
5.Bishop, R. E. D. and Johnson, D. C.The Mechanics of Vibration. Cambridge, 1960.Google Scholar
6.Mahalingam, S. and Bishop, R. E. D. Displacement Excitation of Vibrating Systems. To be published.Google Scholar