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波纹扁球壳的非线性动态屈曲 被引量:6

Nonlinear dynamic buckling of corrugated shallow spherical shell
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摘要 研究了用于传感器弹性元件波纹扁球壳的非线性动态屈曲问题。建立了波纹扁球壳的非线性振动微分方程,根据突变理论建立了该壳体动态屈曲的突变模型,得到了动态屈曲的临界方程。 In this paper, the problem of nonlinear dynamic buckling of corrugated shallow spherical shell used sensor component is studied. The differential equations of nonlinear vibration of the shell are obtained. The cusp catastrophe model of nonlinear dynamic buckling is developed using catastrophe theory. The happening conditions of dynamic buckling is discussed. The critical equation of dynamic buckling of the shell is obtained.
作者 王璠 刘人怀
出处 《振动工程学报》 EI CSCD 北大核心 2005年第4期426-432,共7页 Journal of Vibration Engineering
关键词 非线性动态屈曲 传感器弹性元件 波纹扁球壳 nonlinear dynamic buckling sensor componet corrugated shallow spherical shell
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参考文献27

  • 1Panov D Y. On large deflection of circular membranes with weak corrugation, prikl [J]. Mat. Mekh.1941,5,308(in Russian).
  • 2Feodoser V I. Elastic Elements of Precision-Instruments Manufacture[M]. Oborongiz, Moscow, 1949(in Russian).
  • 3Andryewa L E. The calculation of a corrugated membrane as an anisotropic plate [J]. Engineer's Collection, 1955,21:128-141 (in Russian).
  • 4Andryewa L E. Elastic Eelements of Instruments [M]. Moscow, Masgiz,1962(in Russian).
  • 5Akasaka T. On the elastic properties of the corrugated diaphragm [J]. J. Jap. Soc. Aeronant. Engng,1955,3,279 (in Japanese).
  • 6Haringx J A. Nonlinearity of corrugated diaphragms [J]. Appl. Sci. Res. Ser. A,1956,16.
  • 7刘人怀.波纹圆板的特征关系式[J].力学学报,1978,(1):47-52.
  • 8刘人怀.具有光滑中心的波纹圆板的特征关系式[J].中国科技大学学报,1979,9(2):75-86.
  • 9刘人怀.波纹环形板的非线性弯曲[J].中国科学:A辑,1984,(3):247-253.
  • 10Liu Ren-Huai.Large deflection of corrugated circular plate under the action of concentrated loads at the center[J].International Journal of Non-linear Mechanics,1984,19(5):409-419.

二级参考文献37

  • 1刘人怀,翟赏中.均布载荷作用下波纹环形板的非线性弯曲[J].华南理工大学学报(自然科学版),1994,22(A12):1-10. 被引量:2
  • 2刘人怀,徐加初.中心受载下具有平面边缘区域的固支波纹环形板的非线性分析[J].暨南大学学报(自然科学与医学版),1995,16(1):1-13. 被引量:2
  • 3刘人怀.具有光滑中心的波纹圆板的特征关系式[J].中国科技大学学报,1979,9(2):75-86.
  • 4刘人怀.波纹环形板的非线性弯曲[J].中国科学:A辑,1984,(3):247-253.
  • 5刘人怀.在复合载荷作用于下波纹环形板的非线性弯曲[J].中国科学:A辑,1985,(6):537-545.
  • 6刘人怀.复合载荷作用下波纹圆板的非线性分析[J].应用数学和力学,1988,9(8):661-674.
  • 7徐志翘 刘燕 相嘉实 等.变厚度U型波纹壳大挠度非线性问题的摄动法[J].清华大学学报,1985,25(1):39-51.
  • 8刘人怀.波纹圆板的特征关系式[J].力学学报,1978,(1):47-52.
  • 9PANOV D Y. On large deflection of circular membranes with weak corrugation, pfikl[J]. Mat Mekh, 1941, 5:308(in Russian).
  • 10FEODOSEV V I. Elastic Elements of Precision- Instruments Manufacture[M]. Oborongiz, Moscow, 1949 (in Russian).

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