Analytical Solution for Electro-mechanical Behavior of Piezoelectric Rotating Shaft Reinforced by BNNTs Under Non-axisymmetric Internal Pressure

Journal of Solid Mechanics

مقاله 2، دوره 4، شماره 4، اسفند 2012، صفحه 339-354   

نوع مقاله: Research Paper

نویسندگان

A Ghorbanpour Arani^{* 1}؛ E Haghparast²؛ S Amir²

¹Faculty of Mechanical Engineering, University of Kashan--- Institute of Nanoscience & Nanotechnology, University of Kashan

²Faculty of Mechanical Engineering, University of Kashan

چکیده

In this study, two-dimensional electro-mechanical analysis of a composite rotating shaft subjected to non-axisymmetric internal pressure and applied voltage is investigated where hollow piezoelectric shaft reinforced by boron nitride nanotubes (BNNTs). Composite structure is modeled based on piezoelectric fiber reinforced composite (PFRC) theory and a representative volume element has been considered for predicting the elastic, piezoelectric and dielectric properties of the composite rotating shaft. Distribution of radial, circumferential, shear and effective stresses and electric displacement in composite rotating shaft are determined based on Fourier series. The detailed parametric study is conducted, focusing on the remarkable effects of angular velocity, electric potential, volume fraction and orientation angle of BNNTs on the distribution of stresses. The results show that properties of the piezoelectric shaft as matrix have significant influence on the electro-mechanical stresses where the PZT-4 has less effective stresses against PVDF. Therefore, PZT-4 could be considered for improving optimum design of rotating piezoelectric shaft under electric field and non-axisymmetric mechanical loadings.

کلیدواژه‌ها

Composite rotating shaft؛ Micro-electro-mechanical model؛ Non-axisymmetric pressure؛ BNNTs fiber

مراجع

[1] Bayat M., Saleem M., Sahari B.B., Hamouda A.M.S., Mahdi E., 2009, Mechanical and thermal stresses in a functionally graded rotating disk with variable thickness due to radially symmetry loads, International Journal of Pressure Vessels and Piping 86: 357-372.

[2] Hojjati M.H., Jafari S., 2009, Semi-exact solution of non-uniform thickness and density rotating disks, Part II: Elastic strain hardening solution, International Journal of Pressure Vessels and Piping 86: 307-318.

[3] Babaei M.H., Chen Z.T., 2008, Analytical solution for the electromechanical behavior of a rotating functionally graded piezoelectric hollow shaft, Archive of Applied Mechanics 78: 489-500.

[4] Ghorbanpour Arani A., Kolahchi R., Mosallaie Barzoki A.A., 2011, Effect of material in-homogeneity on electro-thermo-mechanical behaviors of functionally graded piezoelectric rotating shaft, Applied Mathematical Modelling 35: 2771–2789.

[5] Ghorbanpour Arani A., Shajari A.R., Amir S., Loghman A., 2013, Electro-thermo-mechanical nonlinear nonlocal vibration and instability of embedded micro-tube reinforced by BNNT conveying fluid, Physica E 44: 424-432.

[6] Akis T., Eraslan A.N., 2006, The stress response and onset of yield of rotating FGM hollow shafts, Acta Mechanica 187: 169-187.

[7] Ghorbanpour Arani A., Bakhtiari R., Mohammadimehr M., Mozdianfard M.R., 2011, Electro-magneto-mechanical responses of a radially polarized rotating functionally graded piezoelectric shaft, Turkish Journal of Engineering and Environmental Sciences 35: 1-12.

[8] Atrian A., Jafari Fesharaki J., Majzoobi G.H., Sheidaee M., 2011, Effects of electric potential on thermo-mechanical behavior of functionally graded piezoelectric hollow cylinder under non-axisymmetric loads, World Academy of Science, Engineering and Technology 59: 964-967.

[9] Jafari Fesharaki J., Jafari Fesharaki V., Yazdipoor M., Razavian B., 2012, Two-dimensional solution for electro-mechanical behavior of functionally graded piezoelectric hollow cylinder, Applied Mathematical Modelling 36: 5521-5533.

[10] Tan P., Tong L., 2001, Micro-electro-mechanics models for piezoelectric-fiber-reinforced composite materials, Composite Science Technology 61: 759-69.

[11] Tan P., Tong L., 2001, Micromechanics models for nonlinear behavior of piezoelectric fiber reinforced composite materials, International Journal of Solids and Structures 38: 8999-9032.

[12] Ghorbanpour Arani A., Shajari A.R., Atabakhshian V., Amir S., Loghman A., 2013, Nonlinear dynamical response of embedded fluid -conveyed micro-tube reinforced by BNNTs, Composites: Part B 44: 424-432.