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Transient Analysis of Forced Vibrations of Complex Structural-Mechanical Systems

Published online by Cambridge University Press:  04 July 2016

S. P. Chan ,
H. L. Cox  and
W. A. Benfield
S. P. Chan
Affiliation:
Martin Company, Denver, Colorado
H. L. Cox
Affiliation:
Martin Company, Denver, Colorado
W. A. Benfield
Affiliation:
Martin Company, Denver, Colorado
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Extract

This paper presents a numerical method, derived directly from the basic differential equations of motion and expressed in the form of recurrence-matrix of finite differences, that can be generally applied to all multi-degree-of-freedom structures subjected to dynamic forces or forced displacements on any masses at any instants of time. The movements of the system may be described by any form of generalised co-ordinates.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 66 , Issue 619 , July 1962 , pp. 457 - 460
Copyright
Copyright © Royal Aeronautical Society 1962

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References

1.Levy, S. and Kroll, W. D. (1951), Errors Introduced by Step-by-Step Numerical Integration of Dynamic Response. National Bureau of Standards, February 1951.Google Scholar
2.Whitney, C. S., Anderson, G. G. and Salvadori, M. G. (1951), Comprehensive Numerical Method for the Analysis of Earthquake Resistant Structures. Journal of American Concrete Institute, Vol. 23, No. 1, September 1951.Google Scholar
3.Houbolt, J. C. (1950). A Recurrence-Matrix Solution for the Dynamic Response of Elastic Aircraft. NACA TN 2060.Google Scholar
4.Newmark, N. M. and Chan, S. P. (1952), A Comparison of Numerical Methods for Analyzing the Dynamic Response of Stuctures. University of Illinois, Civil Eng. Studies. Structural Research Ser., No. 36, October 1952.Google Scholar
5.Cox, H. L. (1961), Vibration of Missiles. Aircraft Engineering, Vol. 33, Nos. 383, 384. January, February, 1961.Google Scholar
6.Newmark, N. M. (1952), Computation of Dynamic Structural Response in the Range Approaching Failure. Symposium on Earthquake and Blast Effects on Structures. UCLA 1952.Google Scholar
7.Newmark, N. M. (1959), A Method of Computation for Structural Dynamics. Journal Eng. Mech. Div., ASCE, July, 1959.Google Scholar