Thermal vibration and buckling analysis of functionally graded carbon nanotube reinforced composite quadrilateral plate

摘要: Abstract This paper investigates the thermal vibration and buckling of functionally graded carbon nanotube reinforced composite (FG-CNTRC) quadrilateral plate using meshless method. Four distributions reinforcements along thickness direction are considered, which uniform (UD), FG-V, FG-O FG-X. The corresponding effective material properties including Young's modulus, mass density, Poisson's ratio expansion coefficients estimated by rule mixture with CNT efficiency parameters accounting for size-dependence. first-order shear deformation theory (FSDT) consideration effects is employed. Based on Hamilton's principle moving least square (MLS) approximation, discrete governing equations FG-CNTRC derived. free regular irregular plates without temperature effect considered respectively, natural frequencies mode shapes obtained eigenvalue problem. stability analysis uniaxial biaxial mechanical also conducted subsequently. volume fraction, distribution pattern, geometrical characteristics behaviors CNTRC discussed in detail.