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Abstract
Differential Transformation Method is a technique that uses Taylor series for the solution of differential equations in the form of a polynomial. It is different from the high-order Taylor series method, which requires symbolic computation of the necessary derivatives of the data functions. The Differential Transformation Method leads to an iterative procedure for obtaining an analytic series solutions of functional equations. Beams with abrupt changes of cross-section are used widely in engineering. Rectangular and circular shapes of the cross section are chosen because it often occurs in practice. In this thesis, the vibration problem of Euler-Bernoulli beams has been solved using Differential Transformation Method. The beam has variable cross sections and various end conditions