Frequency of functionally graded plates with three-dimensional asymptotic approach Academic Article uri icon


  • The harmonic vibration problem of functionally graded plats is studied by means of a three-dimensional asymptotic theory formulated in terms of transfer matrix. Instead of using multiple time scales expansion, the frequency is determined in a much simpler way that renders the asymptotic method to be practically validated for finding any high-order solutions. This is illustrated by applying the refined formulation to a functionally graded rectangular plate with simply supported edges. The locally effective material properties are estimated by the Mori-Tanaka scheme. Accurate natural frequencies associated with flexural, extensional, and thickness-stretching modes are provided.

published proceedings


author list (cited authors)

  • Reddy, J. N., & Cheng, Z. Q.

citation count

  • 65

complete list of authors

  • Reddy, JN||Cheng, ZQ

publication date

  • August 2003