一种提高管道临界流速计算效率的方法  

A Method for Improving the Calculation Efficiency of the Critical Velocity of Pipe

作　　者：陈兵[1] 张静[1] 邓明乐[1] 尹忠俊[1] 

机构地区：[1]北京科技大学机械工程学院,北京100083

出　　处：《机械科学与技术》2015年第1期13-17,共5页Mechanical Science and Technology for Aerospace Engineering

基　　金：中央高校基本科研业务项目(FRF-SD-12014A);北京科技大学校冶金工程研究院基础理论研究基金项目(YJ2010-008)资助

摘　　要：使用复模态法和Galerkin模态截断法分别计算了Pasternak地基上两端铰支输流管道的临界流速,并通过与复模态法计算得到的精确解的比较,证明了Galerkin模态截断法对临界流速计算结果具有一定的影响。研究了Pasternak地基剪切刚度和弹簧刚度对截断误差的影响。计算结果表明:地基剪切刚度对管道系统临界流速的影响比弹簧刚度要大,且前者的增加可以减小Galerkin法的截断误差,但后者的增加则会增大这一误差。在此基础上,提出了分区域系数确定方法,并针对不同管道地基刚度,通过合理选取Galerkin法阶数,提高了输流管道临界流速计算效率。The complex mode method and Galerkin method are applied to analyze the critical velocity of pinnedpinned pipe conveying fluid resting on Pasternak foundation. Comparing with the exact solution obtained by the complex mode method,the effect of Galerkin modal truncation on the critical velocity is elaborated here,and the effect of Pasternak foundation' s shear stiffness and spring stiffness on the truncation error are also focused. It is concluded that the Pasternak foundation's shear stiffness have a greater effect on the system's critical velocity than the spring stiffness,and the increasing of shear stiffness will reduce the truncation error produced by the Galerkin method,but the increasing of spring stiffness will bring a greater truncation error. On the above-mentioned,a new method is proposed that the coefficient can be confirmed by selecting appropriate one in a number of areas. And it is also founded that the calculation efficiency of critical velocity can be improved by choosing the proper order number in the Galerkin method according to different foundation stiffness.

关 键 词：输流管道 临界流速 复模态法 GALERKIN法 PASTERNAK地基 

分 类 号：O35[理学—流体力学]