流体对薄壁圆柱管振动频率的影响

PDF(973 KB)

振动与冲击 ›› 2010, Vol. 29 ›› Issue (7) : 193-195,.

论文

流体对薄壁圆柱管振动频率的影响

李兵1; 谢里阳1; 郭星辉2; 魏玉兰1

作者信息 +

The Effect of Vibration Frequency of Thin-Walled Cylindrical Tube with Flowing Fluid

Li Bing1; Xie Liyang1; Guo Xinghui2 ;Wei Yulan1

Author information +

文章历史 +

摘要

以两端固支薄壁圆柱管为机构，并简化为Timoshenko梁模型，使用梁的弯曲振动理论及有限元模型分析薄壁圆柱管不含液体的固有频率和振型，其中考虑了集中质量的作用。给出了含有流体的圆柱管道的横向振动微分方程和固有频率方程。设计并制造全部实验装置，测量薄壁圆柱管不含液体、含静止液体和含流动液体的前三阶固有频率和振型。含静止液体时薄壁圆柱管的幅频特性曲线呈非线性、软特性。通过理论值与实验值进行比较，理论值与实验值接近，流体使薄壁圆柱管的固有频率下降。

Abstract

The clamped-clamped thin-walled circular cylindrical tube is considered as the Timoshenko beam model. The natural frequencies and the normal modes of the vibration of the thin-walled circular cylindrical tube without liquid are expressed by the vibration theory of the beam bending and the finite element model, which the effect of the concentrated mass is considered. The differential vibration equation and natural frequency equation of the tube with flowing fluid are expressed. A set of experiment equipment is designed and performed to test the first three natural frequencies and normal mode of the thin-walled cylindrical tube without, with static liquid and with flowing fluid. The frequency-response curve of the thin-walled cylindrical tube with static liquid is soft-type of nonlinear. The data obtained from the experiments are very close to theoretical values. The liquid in the thin-walled cylindrical tube makes the natural frequency decline.

导出引用

李兵;谢里阳;郭星辉;魏玉兰 . 流体对薄壁圆柱管振动频率的影响[J]. 振动与冲击, 2010, 29(7): 193-195,

Li Bing;Xie Liyang;Guo Xinghui;Wei Yulan. The Effect of Vibration Frequency of Thin-Walled Cylindrical Tube with Flowing Fluid[J]. Journal of Vibration and Shock, 2010, 29(7): 193-195,