Shock and Vibration

Shock and Vibration / 2013 / Article

Open Access

Volume 20 |Article ID 708910 | https://doi.org/10.3233/SAV-130771

Peng He, Zhansheng Liu, Chun Li, "An Improved Beam Element for Beams with Variable Axial Parameters", Shock and Vibration, vol. 20, Article ID 708910, 17 pages, 2013. https://doi.org/10.3233/SAV-130771

An Improved Beam Element for Beams with Variable Axial Parameters

Received21 Apr 2012
Revised04 Dec 2012
Accepted14 Jan 2013

Abstract

The traditional beam element was improved to consider the variable axial parameters. The variable axial parameters were formulated in terms of a power series, and the general forms of elementary mass and stiffness matrices which depend on the power order were derived. The mass and stiffness matrices of the improved beam element were obtained in terms of an elementary matrix series. The beam elements for various tapered beams and a beam under linearly axial temperature distribution were derived. The vibrations of the beams with various taper shapes were studied and the variations of natural frequencies and modal shapes were investigated. A uniform beam under linearly axial temperature distribution was modeled and studied. The influences of axial temperature difference on the natural frequencies and modal shapes were investigated. Results show that the improved beam element could consider the variable axial parameters of beam conveniently.

Copyright © 2013 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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