关键词: 弹性支承, 输流管道, 稳定性, 有限差分法, 仿真预测, 热冲压, 数值算法, 细观损伤, 响应曲面

Abstract: The stability of pipes conveying fluid with removable elastic support is studied. A differential equation of the pipe in subsection , continuous conditions at removable elastic support and boundary conditions are established. The recurrence formulas are obtained by using the finite difference method. The effect of elastic constant of the elastic support, location of elastic support on vibration frequencies and stability of elastic pipe conveying fluid are analyzed, and the stability regional graphs (divergence region and flutter region) are plotted.

Key words: Elastic support, Finite difference method, Pipe conveying fluid, Stability, Hot stamping, Mesoscopic damage, Numerical algorithm, Response surface, Simulated prediction