平面U型弯管固有振动分析的有限元方法及试验研究  

Finite Element Method and Experimental Study for Natural Vibration of Planar U-Tubes

作　　者：刁兴中[1] 沈时芳[1] 刘志人 宋志坚[1] 顾正祥[1] 何斌[1] 

机构地区：[1]西安交通大学,武汉核动力运行研究所

出　　处：《核动力工程》1994年第5期401-407,共7页Nuclear Power Engineering

摘　　要：本文运用有限元方法对平面Ｕ型弯管进行了固有振动分析，对弯管段由精确的微单元静态特性微分方程组得到了单元质量阵与刚度阵，其中考虑了剪切变形与转动惯量的影响，直管段用每单元十二个自由度的空间梁单元处理．求得结构振动的特征方程后，运用于空间迭代法求解各阶固有频率及振型。将试验结果与计算结果进行了比较，证明该方法是很有效的，并给出了处理实际蒸汽发生器传热管支撑板边界条件的结论．In this paper, the finite element method is applied to the natural vibration analysis of planar U-tubes. The element mass and stiffness matrices of curve part of U-tubes are obtainedfrom the exact differential equations governing ststic behaviour of an infinitesimal element inwhich both shear deformation and rotary inertia are considered. The spacial beam elements oftwelve freedoms are used to deal with the stranght part. The natural frequencies and modeshapes are obtained from eigenvalue equations by subspace iterative method. The calculation results are compared with those the experiment. The comparision has prove the effectiveness ofthe pressented method in this paper and the conclusion about the boundary condition of heattransfer tube in real steam generator has been drawn.

关 键 词：蒸汽发生器 U型管 固有振动 有限元 

分 类 号：TL353.13[核科学技术—核技术及应用]