Pasternak地基上输流管道固有频率计算分析  

CALCULATION ANALYSIS OF NATURAL FREQUENCY OF PIPE CONVEYING FLUID RESTING ON PASTERNAK FOUNDATION

作　　者：陈兵[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：《机械强度》2013年第6期711-715,共5页Journal of Mechanical Strength

基　　金：中央高校基本科研业务费(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(YJ2010-008)资助~~

摘　　要：分别使用复模态法和Galerkin模态截断方法计算Pasternak地基上两端铰支输流管道的固有频率,并通过与复模态法计算得到的精确解的比较,以说明Galerkin法模态截断对固有频率计算结果的影响,然后研究Pasternak地基剪切刚度和弹簧刚度以及质量参数对截断误差的影响。研究结果表明:在固定的流速范围内,地基剪切刚度和弹簧刚度的增大均可以减小Galerkin法的截断误差,但与前者相比,后者的作用可以忽略不计;同时伴随质量参数的增大,截断误差也将迅速的增加。The complex mode method and Galerkin method are applied to analyze natural frequency of pinned-pinned pipe conveying fluid resting on Pasternak foundation. Compared to the exact solution obtained by the complex mode method, the influence of Galerkin modal truncation to natural frequency is elaborated here, and the influence of Pasternak foundation＇ s shear stiffness, spring stiffness and mass parameter to truncation error are also focused. It is concluded that the increase of Pasternak foundation＇ s shear stiffness and spring stiffness will reduce the truncation error produced by Galerkin method, but, comparing with the former one, the latter one＇ s influence can be ignored. It is also founded that the truncation error will increase significantly with the increase of mass parameter.

关 键 词：输流管道 固有频率 复模态法 GALERKIN法 PASTERNAK地基 

分 类 号：TB123[理学—工程力学]