Transient Analysis of Forced Vibrations of Complex Structural-Mechanical Systems

Author:

Chan S. P.,Cox H. L.,Benfield W. A.

Abstract

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.

Publisher

Cambridge University Press (CUP)

Reference7 articles.

1. Houbolt J. C. (1950). A Recurrence-Matrix Solution for the Dynamic Response of Elastic Aircraft. NACA TN 2060.

2. Vibration of Missiles

3. Newmark N. M. (1959), A Method of Computation for Structural Dynamics. Journal Eng. Mech. Div., ASCE, July, 1959.

4. Levy S. and Kroll W. D. (1951), Errors Introduced by Step-by-Step Numerical Integration of Dynamic Response. National Bureau of Standards, February 1951.

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