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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 as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2005, 10(3), 369-376;

Natural Frequencies of Beam-Mass Systems in Transverse Motion for Different End Conditions

1,* and 2,*
Department of Mechanical Engineering, University of Gaziantep, 27310 Gaziantep, Turkey
Department of Mechanical Engineering, Celal Bayar University, 45140 Muradiye, Manisa, Turkey
Authors to whom correspondence should be addressed.
Published: 1 December 2005
PDF [160 KB, uploaded 1 April 2016]


In this study, an Euler-Bernoulli type beam carrying masses at different locations is considered. Natural frequencies for transverse vibrations are investigated for different end conditions. Frequency equations are obtained for two and three mass cases. Analytical and numerical results are compared with each other.
Keywords: beam vibrations; concentrated masses beam vibrations; concentrated masses
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Öz, H.R.; Özkaya, E. Natural Frequencies of Beam-Mass Systems in Transverse Motion for Different End Conditions. Math. Comput. Appl. 2005, 10, 369-376.

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