Hostname: page-component-848d4c4894-8bljj Total loading time: 0 Render date: 2024-06-23T11:30:49.636Z Has data issue: false hasContentIssue false
  • English
  • Français

The Effect of Static Deflection on the Harmonic Resonance of a System with a Hardening Non-Linear Spring

Published online by Cambridge University Press:  04 July 2016

Z. F. Reif
Z. F. Reif*
Affiliation:
Mechanical Engineering Department, University of Surrey
Get access Rights & Permissions [Opens in a new window]

Extract

In a vibrating system with a non-linear restoring force the effect of gravity, if it influences the equilibrium of motion, is not completely balanced by the static deflection force. This produces in most cases an increase of the magnitude of non-linearity because of the displacement of the static equilibrium point on the restoring force characteristic. The static deflection parameter thus offers a more complete definition of this effect and is consequently used in the vibration equation in preference to the force of gravity. Previous investigation of the free vibration indicates that the existence of a static deflection must result in considerable changes of the forced vibration response.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 74 , Issue 709 , January 1970 , pp. 59 - 62
Copyright
Copyright © Royal Aeronautical Society 1970 

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. Jacobsen, S. J. and Ayre, R. S. Engineering Vibrations. McGraw-Hill, pp 282–294, 1958.Google Scholar
2. Klotter, K. Non-Linear Vibration Problems Treated by the Averaging Method of W. Ritz; Part 1, Fundamentals of the Method. Technical Report No 17/1, Stanford University, 1951.Google Scholar
3. Burgess, J. C. Harmonic, Superharmonic and Subhar-monic Response for Single Degree Freedom Systems of the Duffing Type. Technical Report No 27, Stanford University, 1954.Google Scholar
4. Reif, Z. F. The Effect of the Static Deflection on the Natural Frequency of a System with a Hardening Non- Linear Soring. The Journal of Mechanical Engineering Science, Vol 9, No 3, June 1967.Google Scholar