Exact solutions to the free vibration of stepped beams under axial load

Meehan, P. A. and Liu, S. (2014). Exact solutions to the free vibration of stepped beams under axial load. In: 8th Australasian Congress on Applied Mechanics as part of Engineers Australia Convention 2014. Proceedings. ACAM 8: 8th Australasian Congress on Applied Mechanics, Melbourne, VIC, Australia, (463-471). 23-26 November, 2014.

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Name Description MIMEType Size Downloads
Author Meehan, P. A.
Liu, S.
Title of paper Exact solutions to the free vibration of stepped beams under axial load
Conference name ACAM 8: 8th Australasian Congress on Applied Mechanics
Conference location Melbourne, VIC, Australia
Conference dates 23-26 November, 2014
Convener Sabu John
Proceedings title 8th Australasian Congress on Applied Mechanics as part of Engineers Australia Convention 2014. Proceedings
Journal name 8th Australasian Congress on Applied Mechanics, ACAM 2014, as Part of Engineers Australia Convention 2014
Place of Publication Barton, ACT, Australia
Publisher Engineers Australia
Publication Year 2014
Sub-type Fully published paper
ISBN 9781922107350
Volume Part B
Start page 463
End page 471
Total pages 9
Collection year 2015
Language eng
Formatted Abstract/Summary
Axial loads on shafts have been shown to cause substantial changes in the vibration response characteristics of beams. In particular, the lateral vibration natural frequencies tend to increase with increasing tension in accordance with the system acting somewhere in between a free beam and a tensioned string. Conversely under a compressive axial load the fundamental frequency reduces towards zero at the buckling load. Previous research has developed exact solutions for a uniform beam under axial load and stepped beams under no load. The present research extends this work to provide exact analytical solutions for stepped beams under axial loads for a variety of boundary conditions. Solutions are shown to conform with those from uniform and unloaded conditions and are conveniently tabulated for general use. In addition, a nonlinear finite element analysis (FEA) is performed to confirm analytical predictions for more general conditions. The results are useful for obtaining efficient solutions and confirming FEA results of more complicated systems.
Keyword Natural frequency
Mode shapes
Axial preload
Stepped beam
Q-Index Code E1
Q-Index Status Confirmed Code
Institutional Status UQ

 
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Created: Thu, 19 Mar 2015, 01:20:26 EST by Brianne Mackinnon on behalf of School of Mechanical and Mining Engineering