Frequency of Functionally Graded Plates with Three-Dimensional Asymptotic Approach |
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Authors: | J N Reddy Zhen-Qiang Cheng |
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Affiliation: | 1Professor and Holder of Oscar S. Wyatt Chair, Dept. of Mechanical Engineering, Texas A&M University, College Station, TX 77843-3123. 2Research Associate, Dept. of Mechanical Engineering, Texas A&M University, College Station, TX 77843-3123.
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Abstract: | The harmonic vibration problem of functionally graded plates 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 higher-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. |
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Keywords: | Plates Vibration Frequency Material properties |
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