Closed-form solutions for axially graded beam-columns

Author Type

Outside Researcher

Co-Author Type 1

Faculty

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

Journal of Sound and Vibration

Publication Status

Version of Record

Abstract

The derivations of the closed solutions for the natural frequencies of axially graded beam-columns on elastic foundation are discussed. Two cases of harmonically varying vibration modes are postulated and semi-inverse problems are also solved. The distribution of the flexural rigidity, material density and the variability of foundation coefficients are determined in terms of trignometric functions for solving the semi-inverse problems. The governing differential equations of the dynamic behavior of the beam on the elastic foundation are solved in a closed form for two sets of boundary conditions to the beams that include, a simply supported at one end and elastically guided at the other, and elastically guided at both its ends.

First Page

1083

Last Page

1094

DOI

10.1016/j.jsv.2004.02.018

Publication Date

2-23-2005

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