학술논문
Analytical Polynomial Solutions for Vibrating Axially Graded Beams.
Document Type
Article
Author
Source
Subject
*VIBRATION (Mechanics)
*ELASTIC solids
*MECHANICS (Physics)
*GIRDERS
*POLYNOMIALS
*FREQUENCIES of oscillating systems
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Language
ISSN
1537-6494
Abstract
Vibration and buckling of simply supported axially graded beams, that is, those with inertial coefficient and stiffness, which vary with axial position are discussed. New closed-form solutions are derived for the natural frequency of the beam. The semi-inverse problem of finding the distributions of the stiffness and the inertial term so that the preselected polynomial functions serve as an exact mode shape of the inhomogeneous beam is solved. [ABSTRACT FROM AUTHOR]