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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. 2010, 15(2), 279-288;

Vibration Analysis of Asymmetric-Plan Frame Buildings Using Transfer Matrix Method

Department of Civil Engineering Ege University, 35540 Bornova, Izmir, Turkey
Author to whom correspondence should be addressed.
Published: 1 August 2010
PDF [172 KB, uploaded 4 April 2016]


A method for vibration analysis of proportional asymmetric plan frame buildings is presented in this paper. The whole structure is idealized as an equivalent shear-torsion beam in this method. The governing differential equations of equivalent shear-torsion beam are formulated using continuum approach and posed in the form of simple storey transfer matrix. By using the storey transfer matrices and point transfer matrices which consider the inertial forces, system transfer matrix is obtained. Natural frequencies can be calculated by applying the boundary conditions. The structural properties of building may change in the proposed method. A numerical example has been solved at the end of study by a program written in MATLAB to verify the presented method. The results of this example display the agreement between the proposed method and the other valid method given in literature.
Keywords: Vibration; Asymmetric; Frame; Transfer matrix Vibration; Asymmetric; Frame; Transfer matrix
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Bozdogan, K.B.; Ozturk, D. Vibration Analysis of Asymmetric-Plan Frame Buildings Using Transfer Matrix Method. Math. Comput. Appl. 2010, 15, 279-288.

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