Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-22T05:27:52.581Z Has data issue: false hasContentIssue false

Flutter of Systems with Many Freedoms

Published online by Cambridge University Press:  07 June 2016

W. J. Duncan*
Affiliation:
College of Aeronautics, Cranfield
Get access

Summary

Experience has shown that it is often necessary to retain many degrees of freedom in order to calculate critical nutter speeds reliably, but this entails much labour. Part I discusses the choice of a minimum set of freedoms and suggests that this should be based on the equation of energy and the use of the Lagrangian dynamical equation corresponding to any proposed additional freedom. The methods for conducting flutter calculations so as to minimise labour are treated in Part II.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1949

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. Gates, S. B. (1928). The Torsion-Flexure Oscillations of Two Connected Beams. Phil. Mag., Jan. 1928.Google Scholar
2. Frazer, R. A. and Duncan, W. J. (1928). The Flutter of Aeroplane Wings. (A.R.C. Monograph). R. & M. 1155, Aug. 1928.Google Scholar
3. Frazer, R. A. and Duncan, W. J. (1928). Conditions for the Prevention of Flexural-Torsional Flutter of an Elastic Wing. R. & M. 1217, Dec. 1928.Google Scholar
4. Frazer, R. A. and Duncan, W. J. (1931). The Flutter of Monoplanes, Biplanes and Tail Units (A.R.C. Monograph). R. & M. 1255, Jan. 1931.Google Scholar
5. Duncan, W. J. (1944). Note on the Flutter of Complicated Systems. A.R.C. 7630 (Unpublished), April 1944.Google Scholar
6. Duncan, W. J. (1943). The Representation of Aircraft Wings, Tails and Fuselages by Semi-Rigid Structures in Dynamic and Static Problems. R. & M. 1904, Feb. 1943.Google Scholar
7. Duncan, W. J., Collar, A. R. and Lyon, H. M. (1936). Oscillations of Elastic Blades and Wings in an Airstream. R. & M. 1716, Jan. 1936.Google Scholar
8. Frazer, R. A. (1946). Bi-variate Partial Fractions and their Applications to Flutter and Stability Problems. Proc. Roy. Soc, A., Vol. 185, p. 465, 1946.Google Scholar
9. Duncan, W. J. and Collar, A. R. (1935). Matrices Applied to the Motions of Damped Systems. Phil. Mag., Ser. 7, Vol. 19, p. 197, Feb. 1935.Google Scholar
10. Frazer, R. A., Duncan, W. J. and Collar, A. R. (1938). Elementary Matrices. Cambridge University Press, 1938.Google Scholar
11. Herrman, A. and Dorr, J. Forschungsbericht, No. 1769, Feb. 1943. Translation by Miss S. W. Skan. Methods of Investigating Flutter Behaviour when there are a Number of Degrees of Freedom. A.R.C. 10,439, March 1947.Google Scholar
12. Williams, J. (1948). A New Framework of Lines for the Bi-variate Expansion Method of Solving Flutter Problems. A.R.C. 11,757, Sept. 1948.Google Scholar