TY - JOUR
T1 - Free Vibration Analysis of Solar Functionally Graded Plates with Temperature-Dependent Material Properties using Second Order Shear Deformation Theory
AU - Shahrjerdi, A.
AU - Mustapha, F.
AU - Bayat, M.
AU - Majid, D.L.A.
PY - 2011
Y1 - 2011
N2 - Second-order shear deformation theory (SSDT) is employed to analyze vibration of temperature-dependent solar functionally graded plates (SFGP's). Power law material properties and linear steady-state thermal loads are assumed to be graded along the thickness. Two different types of SFGP's such as ZrO /Ti-6Al-4V and Si N /SUS304 are considered. Uniform, linear, nonlinear, heat-flux and sinusoidal thermal conditions are imposed at the upper and lower surface for simply supported SFGPs. The energy method is applied to derive equilibrium equations, and solution is based on Fourier series that satisfy the boundary conditions (Navier's method). Non-dimensional results are compared for temperature-dependent and temperature-independent SFGP's and validated with known results in the literature. Numerical results indicate the effect of material composition, plate geometry, and temperature fields on the vibration characteristics and mode shapes. The results obtained using the SSDT are very close to results from other shear deformation theories.
AB - Second-order shear deformation theory (SSDT) is employed to analyze vibration of temperature-dependent solar functionally graded plates (SFGP's). Power law material properties and linear steady-state thermal loads are assumed to be graded along the thickness. Two different types of SFGP's such as ZrO /Ti-6Al-4V and Si N /SUS304 are considered. Uniform, linear, nonlinear, heat-flux and sinusoidal thermal conditions are imposed at the upper and lower surface for simply supported SFGPs. The energy method is applied to derive equilibrium equations, and solution is based on Fourier series that satisfy the boundary conditions (Navier's method). Non-dimensional results are compared for temperature-dependent and temperature-independent SFGP's and validated with known results in the literature. Numerical results indicate the effect of material composition, plate geometry, and temperature fields on the vibration characteristics and mode shapes. The results obtained using the SSDT are very close to results from other shear deformation theories.
UR - http://www.scopus.com/inward/record.url?scp=80053625563&partnerID=8YFLogxK
U2 - 10.1007/s12206-011-0610-x
DO - 10.1007/s12206-011-0610-x
M3 - Journal article
AN - SCOPUS:80053625563
SN - 1738-494X
VL - 25
SP - 2195
EP - 2209
JO - Journal of Mechanical Science and Technology
JF - Journal of Mechanical Science and Technology
IS - 9
ER -