A transfer matrix of free vibration for exponentially functionally graded beams

摘要

For analyzing the free vibration of exponentially functionally graded beams a transfer matrix has been developed. The transfer matrixes of exponentially functionally graded beams which need the loop iteration are derived in closed form. The proposed transfer matrix based on the Taylor series expansion. In this study, the precise integration operations are applied and the governing differential equations and the boundary conditions of the system are transformed into a set of algebraic equations in terms of the differential transforms of the original functions. The free vibration of the exponentially functionally graded beams with general boundary conditions is computed with the proposed transfer matrix. Various numerical examples are investigated.