Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-24T18:03:39.489Z Has data issue: false hasContentIssue false
  • English
  • Français

Response of Rotor Blades to Random Loads under Forward Flight Conditions

Published online by Cambridge University Press:  07 June 2016

C Lakshmikantham  and
K S Aravamudan
C Lakshmikantham
Affiliation:
Army Materials and Mechanics Research Center, Watertown, Massachusetts
K S Aravamudan
Affiliation:
Massachusetts Institute of Technology
Get access

Summary

This paper contains results for the response of a helicopter rotor blade under stationary random excitation when the helicopter is in forward flight. The blade model takes into account the bending and torsional modes as well as the root-rigidity conditions. The resulting linear dynamical system equations with periodic coefficients are treated within the framework of the filtering theory to yield matrix ordinary differential equations for the required response-statistics themselves.

Type
Research Article
Information
Aeronautical Quarterly , Volume 24 , Issue 4 , November 1973 , pp. 252 - 260
Copyright
Copyright © Royal Aeronautical Society. 1973

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 Lakshmikantham, C Joga Rao, C V Response of helicopter rotor blades to random loads near hover. Aeronautical Quarterly, Vol 23, pp 276-284, November 1972.Google Scholar
2 Bryson, A E Ho, Y C Applied Optimal Control. Ginn, Waltham, Massachusetts, 1969.Google Scholar
3 Wan, F Y M Lakshmikantham, C Rotor blade response to random loads: A direct time-domain approach. AIAA Journal, Vol 11, pp 24-28, 1973.Google Scholar
4 Gaonkar, G H Interpretation of aerodynamic damping of lifting rotors in forward flight from measured response variance. Journal of Sound and Vibration, Vol 18, pp 381-389, 1971.Google Scholar
5 Lakshmikantham, C Wan, F Y M An algebraic method for linear dynamical systems with stationary excitations. Journal of Sound and Vibration, Vol 20, pp 105-120, May 1973.CrossRefGoogle Scholar
6 Sissingh, G J Kuczynski, W A Investigations on the effect of blade torsion on the dynamics of the flapping motion. Journal of the American Helicopter Society, Vol 15, pp 2-9, April 1970.Google Scholar
7 van Trees, H Detection, Estimation and Modulation Theory. Wiley, New York, 1968.Google Scholar
8 Shah, H Civil Engineering Department, Stanford University, USA. Private communication.Google Scholar
9 Yntema, R T Simplified procedures and charts for the rapid estimation of bending frequencies of rotating beams. NACA TN 3459, 1955.Google Scholar
10 Lakshmikantham, C Response of rotor blades to random excitations: Forward flight. AMMRC-TR (to appear), Army Materials and Mechanics Research Center, Watertown, Massachusetts.Google Scholar