摘要
基于Reddy三阶剪切变形理论,研究了功能梯度材料梁的线性弯曲问题。假设功能梯度材料性质只沿梁厚度方向变化,且服从幂函数规律,推导了问题的控制方程,考虑固支边界条件,并选用合适的计算结构,用微分求积法对其进行数值求解。利用数值结果考察了材料的梯度性质、载荷条件、细长比等对梁弯曲行为的影响。结果表明:相同条件下,FGM梁的挠度介于纯金属和纯陶瓷之间,并且随着梯度参数的增加,挠度在减小;随着FGM梁的细长比的增大,梁中心挠度迅速减小。
Based on Reddy Three Order Shearing Deformation Theory, the linear bending problem of functionally graded material beam has been studied. When the property of functionally graded material beam is supposed to change only along beam thickness direction, obeying the power function law, the controlling equation of the problem has been deduced, with values obtained through differential quadrature method considering the branch strengthening border condition and the proper calculation structure. The value outcome has been used to inspect the impacts of material grading character, loading condition, slender ratio etc. over curved performance of beam. The result shows that FGM beam deflection is situated between simple metal and ceramics, and the deflection is decreasing with the grading parameter＇s increasing; with the enhancing of FGM beam slender ratio, the beam centre deflection is decreasing promptly.
出处
《洛阳理工学院学报（自然科学版）》
2011年第1期28-32,共5页
Journal of Luoyang Institute of Science and Technology：Natural Science Edition
基金
洛阳理工学院青年基金(2009QZ08)
关键词
微分求积法
功能梯度材料梁
弯曲
differential quadrature method
functionally graded material beam
bending
