Dynamic stability of elastically constrained beams: an exact approach

Author:

Majorana C.E.,Pellegrino C.

Abstract

Finds the regions of dynamic instability of elastic beams constrained at the ends by means of translational and rotational elastic springs, using the equation of boundary frequencies. Obtains the diagrams showing the regions of instability of the beam, as a function of the dynamic component of the periodic forcing function and its frequency, from that equation in exact form. In this procedure inertial, stiffness and constraint characteristics of the examined system are taken into account. Presents selected applications concerning the analysed problem.

Publisher

Emerald

Subject

Computational Theory and Mathematics,Computer Science Applications,General Engineering,Software

Reference10 articles.

1. Bolotin, V.V (1964., The Dynamic Stability of Elastic Systems, Holden Day, San Francisco, CA, London, Amsterdam.

2. Bonvicini, D. (1969, “Sulla stabilità dell’equilibrio di un’asta con vincoli elastici”, Atti dell’Istituto di Scienza delle Costruzioni, Volume speciale, Università di Padova.

3. Brown, J.E., Hutt, J.M. and Salama, A.E. (1968, “Finite element solution to dynamic stability of bars”, AIAA Journal, p. 1423‐5.

4. Contri, L. (1989, “Programmi in Basic per la risoluzione di problemi di Scienza e Tecnica delle Costruzioni per piccoli calcolatori”, Ed. Libreria Cortina Padova..

5. Hansen, J. (1985, “Stability diagrams for coupled Mathieu equations”, Report No. 297, DCAMM, Lyngby, Denmark.

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