Application of Differential Transformation Methods to non-linear natural frequencies of an elastically restrained tapered beam

Mohsen Okazi and Hamed Goodarzian

International Journal of Mathematics in Operational Research, 2011, vol. 3, issue 5, 565-577

Abstract: This paper presents the results of an analysis of an elastically restrained tapered cantilever beam using the Differential Transformation Method (DTM). The concept of differential transformation is briefly introduced, and is then employed to derive a set of differential equations for the free vibration oscillator problem. To assess the accuracy of solutions, we compare the results with the Numerical Solution (NS). It is shown that excellent agreement exists between the two sets of results. These results show where these approaches can be easily extended to other non-linear oscillations and that can be found widely applicable in engineering and science.

Keywords: DTMs; differential transformation methods; numerical solutions; nonlinear oscillation; nonlinear differential equations; tapered beams; cantilever beams; free vibration oscillators; natural frequencies; elastically restrained beams. (search for similar items in EconPapers)
Date: 2011
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