Solving Vibration Equations of MDOF Systems by Modified Differential Transform Method
Vibration equations of discrete multi-degrees-of-freedom (MDOF)structural systems is system of differential equations. In linear systems,the differential equations are also linear. Various analytical andnumerical methods are available for solving the vibration equations instructural dynamics. In this paper modified differential transformmethod (MDTM) as a semi-analytical approach is generalized for thesystem of differential equations and is utilized for solving the vibrationequations of MDOF systems. The MDTM is a recursive method whichis a hybrid of Differential Transform Method (DTM), Padeapproximant and Laplace Transformation. A series of examplesincluding forced and free vibration of MDOF systems with classicaland non-classical damping are also solved by this method. Comparisonof the…
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