Application of differential transformation to eigenvalue problems
Applied Mathematics and Computation
Applied Mathematics and Computation
Solution of two-point boundary-value problems using the differential transformation method
Journal of Optimization Theory and Applications
Vibration analysis of continuous systems by differential transformation
Applied Mathematics and Computation
On solving the initial-value problems using the differential transformation method
Applied Mathematics and Computation
On solving some eigenvalue problems by using a differential transformation
Applied Mathematics and Computation
Different applications for the differential transformation in the differential equations
Applied Mathematics and Computation
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In this study free vibration analysis of a Timoshenko column with a tip mass having rotary inertia is carried out by both exact solution and differential transform method (DTM). The support of the system is modeled by an elastic spring against rotation. Fixity factor is used to define the relative stiffness of the elastic connection and the column. The governing equation of the column is solved by the separation of variables method including the rotatory inertia to get the exact solution. The same problem is also solved by DTM algorithm and the results are compared with the ones of exact solution. The comparison tables are presented in numerical analysis to show that a very good agreement is observed for DTM.