摘要
基于一阶剪切变形非线性梁理论,运用物理中面的概念推出功能梯度材料(FGM)梁稳定性问题的基本方程,分析了功能梯度材料梁在面内热荷载作用下的稳定性。分析中假设功能梯度材料性质只沿梁厚度方向、并按成分含量的幂指数形式变化;利用打靶法对所得方程进行数值求解。结果表明,两端夹紧的FGM梁在均匀热载荷或非均匀热荷载作用下时都会发生过屈曲变形。
The fundamental equation about the stability problem of beam of the functionally graded material（FGM）was deduced by using concept of physical surface on basis of non-linear beam theory for first-order shearing and deformation;and the stability of the beam of the functionally graded material in presence of thermal load in the surface was analyzed.During analysis,it was supposed that the property of the functionally graded material might be changed only along the direction of thickness and according to the form of power exponent of the component content of the component;and the value was obtained from the equation acquired by using the shooting method.The numerical result showed that the FGM beam with two ends held tightly might be subjected to post-buckling deformation under the action of even thermal load or uneven thermal load.
出处
《甘肃科学学报》
2016年第1期12-15,54,共5页
Journal of Gansu Sciences
基金
国家自然科学基金:功能梯度材料结构的非线性稳定性理论研究(11472123)
功能梯度材料结构非线性力学行为的进一步研究(11072100)
关键词
功能梯度材料
屈曲
稳定性
打靶法
Functionally graded materials
Buckling
Stability
Shooting method
