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

abstract

• 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.

authors

• Reddy, Junuthula

published proceedings

• JOURNAL OF ENGINEERING MECHANICS-ASCE

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

publisher

• American Society of Civil Engineers (ASCE)  Publisher

keywords

• Frequency
• Material Properties
• Plates
• Vibration

Digital Object Identifier (DOI)

• 10.1061/(ASCE)0733-9399(2003)129:8(896)

start page

• 896

end page

• 900

volume

• 129

issue

• 8

URL

• http://dx.doi.org/10.1061/(asce)0733-9399(2003)129:8(896)