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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. 2000, 5(2), 67-76;

Calculation of the Natural Frequencies of a Beam–Mass System Using Finite Element Method

Department of Mechanical Engineering, Celal Bayar University, 45140 Manisa, Turkey
Published: 1 August 2000
PDF [614 KB, uploaded 7 April 2016]


In this study, the natural frequencies of an Euler-Bernoulli type beam with a mass are calculated. The beam is supported with different end conditions. The mass is located on different locations. The linear natural frequencies are calculated by using finite element method for the first five modes. Results are compared with those of exact and other approximate methods.
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Öz, H. Calculation of the Natural Frequencies of a Beam–Mass System Using Finite Element Method. Math. Comput. Appl. 2000, 5, 67-76.

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