Solution of Eigenvalue Problems for Rectangular Plates by Differential Transformation

Abstract

The differential transformation (DT) method, a transformation technique based on the Taylor series expansion, offers a convenient means for obtaining analytical solutions of the differential equations. Although the technique was introduced in 1986 [1], it seems to be largely unknown to the research community. In this method, following certain rules of transformation, the governing differential equations and the boundary conditions of the system are transformed into a set of algebraic equations in terms of the DTs of the the field variables (the functions). Subsequently, the solution of the algebraic equations leads to the desired solution of the problem.