Abstract
This article presents an analytical study for forced vibration of a cylindrical shell which is composed of a functionally graded piezoelectric material (FGPM). The cylindrical shell is assumed to have two-constituent material distributions through the thickness of the structure, and material properties of the cylindrical shell are assumed to vary according to a power-law distribution in terms of the volume fractions for constituent materials, the exact solution for the forced vibration problem is presented. Numerical results are presented to show the effect of electric excitation, thermal load, mechanical load and volume exponent on the static and force vibration of the FGPM cylindrical shell. The goal of this investigation is to optimize the FGPM cylindrical shell in engineering, also the present solution can be used in the forced vibration analysis of cylindrical smart elements.
Highlights
functionally graded piezoelectric material (FGPM) have experienced a remarkable increase in terms of research and development
Numerical results are presented to show the effect of electric excitation, thermal load, mechanical load and volume exponent on the static and dynamic response of the FGPM cylindrical shell, it will be of great value when engineers design optimum cylindrical smart structures in engineering
The paper presents an analytic study for forced vibration of a FGPM cylindrical shell
Summary
FGPM have experienced a remarkable increase in terms of research and development. By using the continuous change in the physical and mechanical properties of a material, it is possible to prevent fracture in composite materials, avoiding the phenomenon of stress concentration and yield in such materials. Based on the three-dimensional theory of elasticity, free vibration analysis of a functionally graded cylindrical shell embedded in piezoelectric layers was performed by Alibeigloo et al [20]. Based on the first order shear deformation theory of shells, the free vibration analysis of rotating functionally graded cylindrical shells subjected to thermal environment is investigated by Malekzadeh and Heydarpour [21]. An analytical solution for forced vibration of a FGPM cylindrical shell is presented This method is understood, and has been validated by comparing the results with Ma and Wang [22]. Numerical results are presented to show the effect of electric excitation, thermal load, mechanical load and volume exponent on the static and dynamic response of the FGPM cylindrical shell, it will be of great value when engineers design optimum cylindrical smart structures in engineering
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