Functionally graded material (FGM) has an important application prospect in aircraft engineering, especially in smart aircraft. The dynamic behavior of FGM has been widely investigated so far but more work is needed for the porous FGM pipes conveying fluid. In this paper, a sensible pore distribution function related with the volume fraction of metal and ceramic is proposed for the dynamic modeling of porous FGM pipes conveying fluid. The maximum porosity and its corresponding position are taken into account in the present mechanical model. The material properties of the porous pipes are temperature dependent and can be affected by pore distribution. The governing equation of the porous FGM pipe is derived and then the exact solution of post buckling is obtained. The nonlinear primary resonance is determined by the multiple scale method. It is shown that the effect of the pore distribution is very significant on the post buckling behavior and nonlinear primary resonance of the porous FGM pipes. The current work is very helpful in understanding the influence of pore distribution on static and dynamic behavior of pores FGM structures in engineering practice.

功能梯度材料（FGM）在飞机工程尤其是智能飞机中具有重要的应用前景。迄今为止，对FGM的动力学行为已进行了广泛的研究，但多孔FGM管道输送流体需要做更多的工作。本文提出了一种与金属和陶瓷的体积分数有关的合理的孔分布函数，用于多孔FGM输送流体的动力学建模。在当前的机械模型中考虑了最大孔隙率及其对应的位置。多孔管的材料特性取决于温度，并且会受到孔分布的影响。推导了多孔FGM管的控制方程，得到了后屈曲的精确解。非线性一次共振是通过多尺度方法确定的。结果表明，孔分布对多孔FGM管的屈曲后行为和非线性初生共振非常重要。当前的工作对于在工程实践中理解孔分布对FGM结构孔的静态和动态行为的影响非常有帮助。