非保守力下温度场中FGM圆板的非线性力学行为  

Nonlinear mechanical behavior of FGM circular plate in temperature field under non-conservative force

作　　者：李清禄 杨凡转 Li Qinglu;Yang Fanzhuan(College of Sciences,Department of Engineering Mechanics,Lanzhou University of Technology,730050,Lanzhou,China)

机构地区：[1]兰州理工大学理学院工程力学系,兰州730050

出　　处：《应用力学学报》2021年第1期396-401,共6页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(11662008);甘肃省高校基本科研业务费项目。

摘　　要：研究了温度场中非保守功能梯度材料(FGM)圆板的非线性力学行为。基于经典板理论,推导了受非保守力作用的FGM圆板在温度场中的控制微分方程。采用打靶法分析了由陶瓷二氧化锆和金属钛合金两相材料组成的非保守FGM圆板在均匀和非均匀升温场中的非线性力学行为。给出了不同均匀升温和非均匀升温场下,FGM圆板在非保守载荷作用下的平衡路径和平衡构形。分析并讨论了均匀和非均匀升温、材料梯度指数对非保守圆板过屈曲和弯曲行为的影响。结果表明:温度场中,非保守FGM圆板发生弯曲而纯陶瓷圆板会发生过屈曲行为;当梯度指数p=2,非保守载荷q=52时,均匀升温场中非保守圆板的变形大于非均匀升温场中非保守圆板的变形。The nonlinear mechanical behavior of non-conservative functionally graded material(FGM) circular plates in temperature field is studied. Based on the classical plate theory, the governing differential equations of FGM circular plate subjected to non-conservative force in temperature field are derived. The nonlinear mechanical behavior of a non-conservative FGM circular plate composed of ceramic zirconia and titanium alloy in uniform and non-uniform temperature field is analyzed by shooting method. The equilibrium path and configuration of FGM circular plate under non-conservative load are given under different uniform and non-uniform heating fields. The effects of uniform and non-uniform temperature rise and material gradient index on post-buckling and bending behavior of non-conservative circular plates are analyzed and discussed. The results show that: in the temperature field, the non-conservative FGM circular plate occur bending behavior, while the pure ceramic circular plate has post-buckling behavior. When the gradient index p =2 and non-conservative load q =52 are applied,the deformation of non-conservative circular plate in uniform temperature field is greater than that in non-uniform temperature field.

关 键 词：温度场 功能梯度材料 圆板 非保守力 非线性 

分 类 号：O343[理学—固体力学] TB330[理学—力学]