Nonlinear large deflection analysis of the composite structure bellows diaphragm

Abstract

Abstract: Based on the theory of nonlinear large deflection theory, the continuous method is used to analyze the nonlinear large deformation of the bellows diaphragm of flat conical shell-circulararc-circular plate composite structure,which is widely used in the dry gas seal system.The numerical calculation is carried out by the method modified iteration method of theory of plates and shells, the nonlinear large deformation of a composite structure bellows diaphragm with one end fixed and another end free is solved. At the same time, the nonlinear bearing capacity of the different inclination angles of the bellows flat conical shell part diaphragm at the maximum deflection of the arc is analyzed by the quadratic approximation solution. And on the basis of the same waveform,the diaphragm bearing capacity of the parameters such as wave depth and arc radius at the maximum deflection of the arc is analyzed.With the increase of the inclined angle of the bellows diaphragm, the nonlinear deflection of the diaphragm increases. With the increase of the height of the bellows diaphragm, the nonlinear deflection of the diaphragm increases. With the increase of the arc wavelength of the bellows diaphragm, the nonlinear deflection of the diaphragm increases.

Key words: bellows diaphragm, nonlinearity, large deflection, modified iteration method

CLC Number:

O343.5

HAN Ming-jun, ZHOU Chao-yu, LI Hong-rui, MA Lian-sheng. Nonlinear large deflection analysis of the composite structure bellows diaphragm[J]. Journal of Lanzhou University of Technology, 2021, 47(4): 157-164.

References

[1] 林远大.焊接金属波纹管机械密封的设计和典型结构 [J].流体工程,1989,11:39-43.
[2] 顾永泉.机械密封实用技术 [M].北京:机械工业出版社,2001.
[3] 安源胜.机械密封用焊接金属波纹管失效机理研究 [D].上海:华东理工大学,2002.
[4] PLUMRIDGE J M,KETCH D P,STRASZEWSKI C J.Mechanical seals: the current status of metal bellows sealing [J].Tribology International,1986,19(4):193-197.
[5] 马咏梅,马传鑫,张弦,等.焊接金属波纹管机械密封端面径向振动特性研究 [J].工程科学与技术,2019,51(2):160-167.
[6] ALEKSANDER K,BELYAEV T V,ZINOVIEVA K K.Theoretical and experimental studies of the stress-strain state of expansion bellows as elastic shells [J].St Petersburg Polytechnical University Journal,2017,3:7-14.
[7] 丁雪兴,张静,富影杰,等.基于ANSYS的干气密封焊接金属波纹管振动模态分析 [J].兰州理工大学学报,2010,36(2):56-59.
[8] 黄乃宁,宋林红,魏国俭,等.阀门用金属波纹管疲劳寿命的有限元分析 [J].阀门,2008(5):30-34.
[9] FARAJI G,BESHARATI M K,MOSAVI M,et al.Experimental and finite element analysis of parameters in manufacturing of metal bellows [J].The International Journal of Advanced Manufacturing Technology,2008,38(7/8):641-648.
[10] MARCAL P V,TURNER C E.Numerical analysis of the elastic-plastic behavior of axisymmetrically loaded shells of revolution [J].Mech Engineering Science,1963,5(3):41-53.
[11] 樊大钧,黄黔.焊接圆弧波纹管的特性及其设计分析 [J].仪器仪表学报,1986(1):1-12.
[12] 韩明君,王伟兵,李鸿瑞,等.单圆弧波纹管膜片的非线性大变形分析 [J].工程力学,2020,37(1):26-33.
[13] FEELY F J,GORGL W M.Stress studies on piping expansion bellows.ASME [J].Journal of Applied Mechanics,1950,17(2):136-141.
[14] DINNO K S,GILL S S.A method for calculating the lower bound limit pressure for thick shells of revolution with specific reference to cylindrical vessels with torispherical ends [J]. International Journal of Mechanical Sciences,1974,16(6):415-427.
[15] 王新志,李林,王钢,等.扁球薄壳在大挠度下的非线性动力稳定性 [J].工程力学,2008(10):76-79+85.
[16] 王伟兵.干气密封波纹管膜片的非线性动力学特性分析 [D].兰州:兰州理工大学,2019.
[17] 徐芝纶.弹性力学 [M].北京:高等教育出版社,1990.
[18] 郑晓静.圆薄板大挠度理论及应用 [M].长春:吉林科学技术出版社,1990.