基于欧拉梁理论的管路纵向波功率流简化模型误差分析

为分析基于欧拉梁理论的管路纵向波功率流简化模型的误差,首先基于壳体理论推导了充液管路纵向波功率流的精确模型,该模型解析和表述了管路材料、几何参数以及管内液体流速等因素与功率流之间的关系,通过与基于欧拉梁理论的功率流简化模型的对比即可得到简化模型的误差。理论分析与仿真结果表明：在低频区,基于欧拉梁理论的纵向波功率流模型误差近似为一恒定的常数,该常数与厚径比以及管路的材质有关,而管路半径以及管内流速对简化模型误差的影响可以忽略。

Error Analysis of Simplified Model Based on Euler Beam Theory for Power Flow of Longitudinal Waves in Pipes

In order to analyse the error of simplified model based on Euler beam theory for power flow of longitudinal waves in pipes,the exact model was developed firstly.based on shell theory,which shows the relationship among materials of pipes,geometrical parameters,internal flow velocity and power flow.Then the error of simplified model based on Euler beam theory can be obtained by comparing the simplified model with the exact model.Theory analysis and simulation results show that in low frequencies,the error of ...