热环境中非保守简支-固支FGM梁的非线性力学行为

Nonlinear mechanical behavior of non-conservative of hinged-fixed FGM beams in thermal environment

研究均匀和非均匀升温场中功能梯度材料(functionally graded material,FGM)梁在切线随动分布载荷作用下的非线性力学行为。基于可伸长梁的几何非线性理论,建立热环境中功能梯度材料梁在切线随动分布载荷作用下的控制微分方程。采用打靶法分析由陶瓷二氧化锆和金属钛合金两相材料组成的FGM梁的非线性力学行为。给出均匀升温和非均匀升温环境下,FGM梁在切线随动分布载荷作用下的平衡路径和平衡构形。讨论均匀和非均匀升温、材料梯度性质参数对梁屈曲和过屈曲行为的影响。结果表明:热环境中,FGM梁发生弯曲而纯陶瓷梁会发生屈曲行为;非均匀升温对非保守梁的力学行为有较大影响。

Nonlinear mechanical behaviors of functionally graded material(FGM)beams subjected to tangentially distributed loads in uniform and inhomogeneous heating fields were investigated.Based on the geometric nonlinear theory of extensible beams,the governing differential equations of functionally graded material beams under tangentially distributed loads in thermal environment were established.The nonlinear mechanical behavior of FGM beams composed of ceramic zirconia and titanium alloy was analyzed by using shooting method.The equilibrium paths and configurations of FGM beams subjected to tangentially distributed loads under different uniform and non-uniform heating conditions were given.The effects of uniform and inhomogeneous temperature rise and material gradient parameters on bending and post-buckling behavior of beams were discussed in detail.The results show that FGM beams have the bending behavior,whereas the beams with homogeneous materials exhibit post-buckling behavior in thermal environment,and the non-uniform heating has a great influence on the mechanical behavior of non-conservative beams.