On calculation of natural frequencies of compressed rods with variable cross-section

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Materials physics and mechanics Peter the Great St. Petersburg Polytechnic University

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ISSN 1605-8119

Proceedings of the XXVI International Conference Mathematical and Computer Simulation in Mechanics of Solids and Structures (MCM 2015) September 28 - September 30, 2015, Saint Petersburg, Russia

Year: 2017 Volume: 31 Issue: 1/2

Pages: 96

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Article type: Research Article

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On calculation of natural frequencies of compressed rods with variable cross-section

Authors:

L.M. Kagan-Rosenzweig

Abstract:

A method of constructing improved basis functions for frequency calculation by means of Bubnov-Galerkin method is proposed. Method efficiency is demonstrated by analysis of cantilever rod with variable cross-section. Natural frequencies of such unloaded rod are calculated, and critical force for a rod compressed by follower force is determined.