NDLI: Effect of Weight on the Experimental Modal Analysis of Slender Cantilever Beams

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Virgin, Lawrence Holland, David
Copyright Year	2009
Abstract	It is relatively well known that axial loads tend to influence lateral stiffness and hence natural frequencies of slender structural components. Tensile forces tend to increase the lateral stiffness and compressive forces tend to reduce lateral stiffness, bringing with it the possibility of buckling. In many practical situations this is a negligible effect. But for very slender structures it can be important, including the effect of self-weight. This paper will focus attention on a form of double cantilever beam system, i.e., two cantilevers sharing a common hub. A differential axial load can be applied to this system via orientation in a gravitational field. We shall neglect the effect of gravity when the beams are in their horizontal orientation from a limited theoretical standpoint. It is of course present in the experiments but the cantilevers are much stiffer in one direction than the other, and the beams are clamped with their stiffer resistance in the vertical direction. The focus of the current paper is on the natural frequencies and mode shapes of a two-beam system from an experimental modal analysis perspective.
Sponsorship	Design Engineering Division and Computers in Engineering Division
Starting Page	557
Ending Page	560
Page Count	4
File Format	PDF
ISBN	9780791848982
DOI	10.1115/DETC2009-86149
e-ISBN	9780791838563
Volume Number	Volume 1: 22nd Biennial Conference on Mechanical Vibration and Noise, Parts A and B
Conference Proceedings	ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Language	English
Publisher Date	2009-08-30
Publisher Place	San Diego, California, USA
Access Restriction	Subscribed
Subject Keyword	Cantilevers Mode shapes Structural elements (construction) Modal analysis Gravity (force) Weight (mass) Stiffness Cantilever beams Buckling Stress
Content Type	Text
Resource Type	Article

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