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TECHNICAL BRIEFS

Upper and Lower Bounds of Frequencies for Cantilever Bars of Variable Cross Sections

[+] Author and Article Information
J. H. Gaines

Arlington State College of The University of Texas, Arlington, Texas

Enrico Volterra

College of Engineering, The University of Texas, Austin, Texas

J. Appl. Mech 33(4), 948-950 (Dec 01, 1966) (3 pages) doi:10.1115/1.3625213 History: Received March 07, 1966; Online September 15, 2011

Abstract

Upper and lower bounds of frequencies of transverse vibrations of cantilever bars of variable cross sections are presented, taking into account the effects of transverse shear and of rotatory inertia. Numerical results for the first four natural frequencies are presented in tabular form for different inertia characteristics of the bars.

Copyright © 1966 by ASME
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