Study on the dynamic responses of the beam with functionally graded materials by Timoshenko beam corrective theory

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Journal of Vibration and Shock ›› 2011, Vol. 30 ›› Issue (10) : 245-248.

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Study on the dynamic responses of the beam with functionally graded materials by Timoshenko beam corrective theory

WU Xiao; LUO You-xin

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Abstract

The dynamic response of the beam with functionally graded materials was studied by Timoshenko beam corrective theory. The neutral plane site of the beam with functionally graded materials was determined by the static equilibrium equations, and the vibration equations of the beam with functionally graded materials were also established by Timoshenko beam corrective theory, the expression for the natural frequency of the beam with functionally graded materials and the analytical solution for forced vibration of the beam with functionally graded materials under the action of harmonic load were obtained. The effect of neutral plane site, gradient index to dynamic responses of the beam with functionally graded materials were discussed, and Timoshenko beam corrective theory was verified by finite element method. Analysis of examples indicates that the neutral plane site had more greatly influence on dynamic responses of the beam with functionally graded materials.

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timoshenko beam / functionally graded / materials / dynamic responses

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WU Xiao;LUO You-xin. Study on the dynamic responses of the beam with functionally graded materials by Timoshenko beam corrective theory[J]. Journal of Vibration and Shock, 2011, 30(10): 245-248