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http://dx.doi.org/10.12989/sem.2006.24.1.051

Analysis of free vibration of beam on elastic soil using differential transform method  

Catal, Seval (Dokuz Eylul University, Department of Civil Engineering (Applied Mathematics), Faculty of Engineering)
Publication Information
Structural Engineering and Mechanics / v.24, no.1, 2006 , pp. 51-62 More about this Journal
Abstract
Differential transform method (DTM) for free vibration analysis of both ends simply supported beam resting on elastic foundation is suggested. The fourth order partial differential equation for free vibration of the beam resting on elastic foundation subjected to bending moment, shear and axial compressive load is obtained by using Winkler hypothesis and small displacement theory. It is assumed that the material is linear-elastic, and that axial load and modulus of subgrade reaction to be constant. In the analysis, shear and axial load effects are considered. The frequency factors of the beam are calculated by using DTM due to the values of relative stiffness; the results are presented in graphs and tables.
Keywords
differential transformation method; partial differential equation; motion equation; free motion; elastic soil;
Citations & Related Records

Times Cited By Web Of Science : 11  (Related Records In Web of Science)
Times Cited By SCOPUS : 10
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