%0 Journal Article
%T 考虑前屈曲耦合变形时功能梯度圆板的稳定性分析<br>Stability Analysis of Functionally Graded Circular Plates Considering Pre-Buckling Coupling Deformation
%A 戚鹏程
%A 马连生
%J International Journal of Mechanics Research
%P 7-18
%@ 2325-5005
%D 2021
%I Hans Publishing
%R 10.12677/IJM.2021.101002
%X 功能梯度材料(FGM)结构的非均匀性来自于材料组份沿某一方向梯度变化，因此会存在拉弯耦合效应。在周边简支边界条件下，只要有面内载荷就会产生挠度。本文基于经典板理论，研究了机械载荷和热载荷作用下FGM简支圆板的非线性变形及稳定性问题。假设FGM圆板的材料性质只沿厚度方向进行变化，利用能量原理推导出FGM圆板的平衡方程，得到了包含前屈曲耦合变形影响的控制方程，并用打靶法进行求解。讨论了外载荷、前屈曲耦合变形以及材料的温度依赖性质等因素对FGM圆板非线性变形和稳定性的影响。<br />
The inhomogeneity of functionally graded materials (FGM) structure comes from the gradient change of material components along a certain direction, so there will be stretch bending coupling effect. As long as the in-plane load is applied, deflection will occur, in the case of simply supported boundary conditions. Based on the classical plate theory, the nonlinear deformation and stability of FGM simply supported circular plates under mechanical and thermal loads are studied in this paper. Assuming that the material properties of FGM circular plate only change along the thickness direction, the equilibrium equation of FGM circular plate is derived by using the energy principle, and the governing equation including the influence of pre-buckling coupling deformation is obtained, which is solved by shooting method. The effects of external loads, pre-buckling coupling deformation and temperature dependence of material properties on the nonlinear deformation and stability of FGM circular plate are discussed.
%K 功能梯度圆板，前屈曲耦合变形，打靶法，临界载荷，稳定性<br>FGM Circular Plate
%K Pre-Buckling Coupling Deformation
%K Shooting Method
%K Critical Load
%K Stability
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=40962