Hostname: page-component-7b7567c8c-fvjsw Total loading time: 0 Render date: 2026-11-15T13:46:22.668Z Has data issue: false hasContentIssue false
  • English
  • Français

Impulsive and Indicial Admittances of Simple Dynamical Chains

Published online by Cambridge University Press:  07 June 2016

W. J. Duncan
W. J. Duncan*
Affiliation:
University of Glasgow
Get access

Summary

The responses of systems, whose equations of motion are linear, to arbitrary applied forces are conveniently calculable by the use of impulsive or indicial admittances. Expressions for these admittances are here given explicity for some simple dynamical chains and the procedure for their calculation in chains with more degrees of freedom is outlined. Some general characteristics of the dynamical chains are also examined.

Information

Type
Research Article
Information
Aeronautical Quarterly , Volume 9 , Issue 1 , February 1958, pp. 1 - 16
Copyright
Copyright © Royal Aeronautical Society. 1958

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.)

Article purchase

Temporarily unavailable

References

1. Von Kármán, TH. and Biot, M. A. Mathematical Methods in Engineering. Chap. X. McGraw-Hill, 1940.Google Scholar
2. Duncan, W. J. Mechanical Admittances and Their Applications to Oscillation Problems. Chap. VI, R. & M. 2000 (A.R.C. Monograph), 1946.Google Scholar
3. Duncan, W. J. The Principles of the Control and Stability of Aircraft. Chaps. 4 and 15, Cambridge University Press, 1952.Google Scholar
4. Mitchell, K. Lateral Response Theory. R. & M. 2297, 1952.Google Scholar
5. Duncan, W. J. Solution of Ordinary Linear Differential Equations with Variable Coefficients by Impulsive Admittances. Quarterly Journal of Mechanics and Applied Mathematics, Vol. 6, p. 122, 1953.CrossRefGoogle Scholar
6. Duncan, W. J. Indicial Admittances for Linear Systems with Variable Coefficients. Journal of the Royal Aeronautical Society, p. 46, January 1957.Google Scholar
7. Bishop, R. E. D. and Johnson, D. C. Vibration Analysis Tables. Cambridge University Press, 1956.Google Scholar
8. Duncan, W. J. A Critical Examination of the Representation of Massive and Elastic Bodies by Systems of Masses Elastically Connected. Quarterly Journal of Mechanics and Applied Mathematics, Vol. 5, p. 97, 1952.Google Scholar
9. Duncan, W. J. Factorisation of a Class of Determinants and Applications to Dynamical Chains. Phil. Mag., Series 7, Vol. XXXVI, p. 615, 1945.CrossRefGoogle Scholar