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Axisymmetry problems of ring shells under arbitrary distributed loads

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Abstract

Extending Novozhilov's transformation, this paper simplifies successfully the axisymmetry problems of ring shells under arbitrary distributed loads, and the equation of the problems in complex form which is similar to Novozhilov's is obtained. The particular solution is obtained. Combining with Chien's general solution of homogeneous equation, this paper gives the general solution for the general symmetry problems of ring shells. Various examples of useful loads and closed ring shells are discussed respectively.

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References

  1. Reissner, H.,Müller-Breslau-Festschrift, leipzig (1912), 181.

  2. Meissner, E.,Physik. Zeits,14 (1913), 343.

    Google Scholar 

  3. Tölke, F.,Ingenieur Archiv 9 (1983). 282. (above from ref. [6])

    Google Scholar 

  4. Clark, R.A.,J. Math. and Physics,29 (1950), 146–178.

    Google Scholar 

  5. Novozhilov, V.V.,Theory of Thin Shells, Scientific Publishing House, Beijing (1959). (Chinese version)

    Google Scholar 

  6. Chien Wei-zang and Zheng Se-liang,J. of Qinghua University,19 (1979), 27–47. (in Chinese)

    Google Scholar 

  7. Zhang Wei,Science Report of Qinghua University,5A (1949), 289–349. (in Chinese)

    Google Scholar 

  8. Clark, R.A.,Quart. of Appl. Math.,16 (1958), 47–60.

    Google Scholar 

  9. Clark, R.A.,Trans. ASME, J. Appl. Mech., Ser.E, 37 (1970), 61–69.

    Google Scholar 

  10. Turner, C.E., and H. Ford,Proc. Inst. Mech. Engng.,15 (1957), 526–550.

    Google Scholar 

  11. Andreeva, L.E., etc.,Bellows, Cal-Culation and Design, M., Mashin. (1975).

  12. Hamada, M. and S. Takezono,Bull. JSME,9 (1966), 502–523.

    Google Scholar 

  13. Chien Wei-zang and Zheng Se-liang,Applied Math. and Mech.,1, 3 (1980), 305–318.

    Google Scholar 

  14. Chien Wei-zang and Zheng Se-liang,Applied Math. and Mech.,z, 1 (1981), 103–118.

    Google Scholar 

  15. Chien Wei-zang,J. of Qinghua University,19 (1979), 84–99. (in Chinese)

    Google Scholar 

  16. Chen Shan-lin,J. of Chengdu University of Science and Technology,3 (1982), 49–58. (in Chinese)

    Google Scholar 

  17. Wang Dai-yu, Chen Shan-lin and Wu Guo-ping,Proc. of Inter. Cong. IASS-85, Moscow (1985).

  18. Flëgge, W.,Stresses in Shells, 2ed., New York (1973).

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Communicated by Yeh Kai-yuan

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Shan-lin, C. Axisymmetry problems of ring shells under arbitrary distributed loads. Appl Math Mech 7, 461–470 (1986). https://doi.org/10.1007/BF01895765

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  • DOI: https://doi.org/10.1007/BF01895765

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