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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. 2009, 14(3), 197-206;

Linear Vibrations of Frames Carrying a Concentrated Mass

Department of Mechanical Engineering, Karaelmas University, 67100, Zonguldak, Turkey
Published: 1 December 2009
PDF [233 KB, uploaded 30 March 2016]


The free and forced in-plane and out-of-plane vibrations of frames are investigated. The beam has a straight and a curved part. It has a circular cross-section. A concentrated mass is also located at different points of the frame with different mass ratios. FEM is used to analyze the problem. The in-plane and out-of-plane natural frequencies, point and transfer receptances of the system are obtained to determine the sensitive and non-sensitive frequency intervals depending on the location and direction of the force.
Keywords: frame vibrations; FEM; concentrated mass frame vibrations; FEM; concentrated mass
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Özyiğit, H.A. Linear Vibrations of Frames Carrying a Concentrated Mass. Math. Comput. Appl. 2009, 14, 197-206.

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