C型波纹管的非轴对称自振频率

英文篇名：Non-axisymmetric natural frequency of C-shaped bellows
中文刊名：清华大学学报(自然科学版)
英文刊名：Journal of Tsinghua University(Science and Technology)
作者：王永岗 ; 戴诗亮 ; 吕英民
英文作者：WANG Yonggang 1 ; DAI Shiliang 1 ; LU Yingmin 2(1. Department of Engineering Mechanics ; Tsinghua University ; Beijing 100084 ; China ; 2. School of Mechanical Electrical Engineering ; University of Petroleum ; Beijing 102200 ; China)
中文关键词：C型波纹管 ; 非轴对称 ; 特征值 ; 非协调曲边旋转壳单元
英文关键词：C shaped bellows ; non axisymmetric ; eigenvalue ; incompatible curved elements of shells of revolution
出版日期：2002-02-28
机构：清华大学工程力学系,清华大学工程力学系,石油大学机电学院北京100084 ,北京100084 ,北京102200
年：2002
期：02
出版单位：清华大学学报(自然科学版)

摘要

C型波纹管是一种重要的柔性连接和补偿元件。为了了解波纹管的动力学特性 ,基于 Novozhilov薄壳理论 ,用有限元法建立了 C型波纹管非轴对称自由振动的广义特征值问题。选取两结点非协调曲边旋转壳单元作为离散单元 ,解决了 C型波纹管因子午线曲率有突变而在求解上造成的困难 ,将所有相关变量沿其环向进行了 Fourier展开 ,得出了任意子午线形状的波纹管在任意环向谐波时的特征值 ,并对两种端部条件下的 C型波纹管进行了特征值分析
C shaped bellows is frequently used as flexible joint and compensator. The dynamic characteristics of the C shaped bellows were analyzed by solving the generalized eigenvalue problem corresponding to non axisymmetric natural vibration based on the thin shell theory of Novozhilov using the finite element method. The bellows was discretised with incompatible curved elements of shells of revolution which overcomes the abrupt change in meridian curvature and complicates the analysis of C shaped bellows. All dependent variables are expanded into Fourier series in the circumferential direction, which allows accurate calculation of the eigenvalue of the bellows with arbitrary meridian shape for any harmonic. The eigenvalue analysis was carried out for two kinds of end conditions for the C shaped bellows.

引文

[1]LI Tingxin,HU Jian,CEN Hanzhao,et al.Research in thefield of axial natural frequency and spring rate behavior ofbellows[A].Proc5 thIntConf onPresVesTech[C].SanFrancisco,Calif,1984.519529.
    [2]朱益民,任文敏,张维.单层波纹管的轴对称振动[J].工程力学,1991;8(1):914.ZHU Yimin,REN Wenmin,ZHANG Wei.Symmetrical freevibration of bellows[J].EngMech,1985,14(10):916.( inChinese)
    [3]Standards of theExpansionJointManufacturersAssociation(EJMA)[S].INC(5 th edn.),WhitePlains,NY USA,1980.
    [4]SHIEH Chihcheng,FU Chengsung,ZHENG Siliang.Finiteelement method of axial symm etrical shell with abruptchangeof curvature( corrugated tubes)[J].ApplMathematics andMechanics,1981,2(1):113130.
    [5]NovozhilovV V.Foundations of theNonlinearTheory ofElasticity[M].Rochester,NY USA:GraylockPress,Inc,1953.
    [6]王永岗.储油罐用波纹管的非线性分析及地震反应研究[D].北京:石油大学,2000.WANG Yonggang.NonlinearAnalysis andSeism icResponseStudy for theJointRevolutionBellows betweenOilTank andPipeline[D].Beijing:University ofPetroleum,2000.( inChinese)
    [7]GuyanR J.Reduction of stiffness and mass matrices[J].AIAA J,1965,3(2):380391