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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2004, 9(3), 371-380; https://doi.org/10.3390/mca9030371

Linear Forced In-Plane and Out-of Plane Vibrations of Frames Having a Curved Member

1
Department of Mechanical Engineering, Karaelmas University, 67100, Zonguldak, Turkey
2
Department of Mechanical Engineering, University of Nevada Reno, Reno, NV 89557, USA
3
Department of Mechanical Engineering, Celal Bayar University, 45140, Manisa, Turkey
Current Address: Department of Mechanical Engineering, University of Gaziantep, 27310 Gaziantep, Turkey
*
Author to whom correspondence should be addressed.
Published: 1 December 2004
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Abstract

The forced, in-plane and out-of-plane vibrations of frames comprised of straight and curved members are investigated using Finite Element Methods. The straight and curved beams are assumed as Euler-Bernoulli type and they have circular cross-sections. The frame lies in a single plane. In the analysis, elongation, bending and rotary inertia effects are included. Four degrees of freedom for in-plane vibrations and three degrees of freedom for out-of-plane vibrations are assumed. The in-plane and out-of-plane point and transfer receptances are obtained in order to determine the sensitive and non-sensitive frequency interval of the frame system.
Keywords: vibration of frames; curved beams; forced vibrations vibration of frames; curved beams; forced vibrations
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).
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Özyiğit, H.A.; Öz, H.R.; Tekelioğlu, M. Linear Forced In-Plane and Out-of Plane Vibrations of Frames Having a Curved Member. Math. Comput. Appl. 2004, 9, 371-380.

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