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NAMI, M. R., JANGHORBAN, M.. (1394). FREE VIBRATION OF FUNCTIONALLY GRADED SIZE DEPENDENT NANOPLATES BASED ON SECOND ORDER SHEAR DEFORMATION THEORY USING NONLOCAL ELASTICITY THEORY. , 39(M1), 15-28. doi: 10.22099/ijstm.2015.2945
M. R. NAMI; M. JANGHORBAN. "FREE VIBRATION OF FUNCTIONALLY GRADED SIZE DEPENDENT NANOPLATES BASED ON SECOND ORDER SHEAR DEFORMATION THEORY USING NONLOCAL ELASTICITY THEORY". , 39, M1, 1394, 15-28. doi: 10.22099/ijstm.2015.2945
NAMI, M. R., JANGHORBAN, M.. (1394). 'FREE VIBRATION OF FUNCTIONALLY GRADED SIZE DEPENDENT NANOPLATES BASED ON SECOND ORDER SHEAR DEFORMATION THEORY USING NONLOCAL ELASTICITY THEORY', , 39(M1), pp. 15-28. doi: 10.22099/ijstm.2015.2945
NAMI, M. R., JANGHORBAN, M.. FREE VIBRATION OF FUNCTIONALLY GRADED SIZE DEPENDENT NANOPLATES BASED ON SECOND ORDER SHEAR DEFORMATION THEORY USING NONLOCAL ELASTICITY THEORY. , 1394; 39(M1): 15-28. doi: 10.22099/ijstm.2015.2945

FREE VIBRATION OF FUNCTIONALLY GRADED SIZE DEPENDENT NANOPLATES BASED ON SECOND ORDER SHEAR DEFORMATION THEORY USING NONLOCAL ELASTICITY THEORY

Iranian Journal of Science and Technology Transactions of Mechanical Engineering
مقاله 2، دوره 39، M1، تیر 2015، صفحه 15-28    اصل مقاله (196.22 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22099/ijstm.2015.2945
نویسندگان
M. R. NAMI؛ M. JANGHORBAN*
School of Mechanical Engineering, Shiraz University, Shiraz, I. R. of Iran
چکیده
In this article, an analytical solution is developed to study the free vibration analysis of
functionally graded rectangular nanoplates. The governing equations of motion are derived based
on second order shear deformation theory using nonlocal elasticity theory. It is assumed that the
material properties of nanoplate vary through the thickness according to the power law
distribution. Our numerical results are compared with the results of isotropic nanoplates and
functionally graded macro plates. The effects of various parameters such as nonlocal parameter
and power law indexes are also investigated.
کلیدواژه‌ها
free vibration؛ nonlocal elasticity theory؛ second order shear deformation theory؛ functionally graded nanoplates
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