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Comparison of the calculations of three-convolution circular ARC corrugated diaphragms by toroidal shell theory and by orthogonal anisotropy plate theory

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Abstract

The calculation of elastic deformations of corrugated diaphragms was given by orthogonal anisotropy plate theory[1], and its result agrees with the experimental results. But it has never been discussed seriously how the number and form of convolutions affect the elastic deformations and stress distributions of anisotropy plate. As a result, adaptable limits of orthogonal anisotropy plate theory cannot be indicated when it is used to calculate diaphragms. It is said that the theory is fairly good for calculating elastic deformations of the diaphragms which have more convolutions. It is also said that the error in calculating stresses is rather large. This paper, by using the toroidal shell theory, presents the calculation of deformations and stresses of three-convolution circular arc corrugated diaphragms both symmetrical and unsymmetrical, compares its result with that of the orthogonal anisotropy plate theory and gives definite adaptable limits of the latter theory.

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References

  1. Andrewa, L. E., Calculation of corrugated membrane as anisotropy plate, Engineer Symposium, (1955). (in Russian)

  2. Chien Wei-zang and Zheng Si-liang, Equations of summetrical ring shells in complex quantities and their general solutions for slender ring shells, J. of Qinghua Univ. 19 (1979), 27–47. (in Chinese)

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  4. Wildhack, W. A. and V. H. Goerke, Corrugated metal diaphragms for aircraft pressure-measuring instruments, T.N. NACA, (1939), No. 738.

  5. Fan Da-jun and Hwang Chien, Theoretical analysis of circular arc corrugated diaphragms and its engineering design method, (Read at Second National Conference on Chinese Scientific Instruments held in December 1982 in Beijing) (in Chinese).

  6. Fan Da-jun and Hwang Chien, Design of three-convolution circular arc corrugated diaphragms, Chinese J. of Scientific Instruments. (to be published in Chinese)

  7. Hwang Chien, Calculation of stresses and deformations of bellows by initial parameter method of numerical integration, Applied Mathematics and Mechanics, Vol. 3. No. 1, Feb. (1982).

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Authors and Affiliations

  1. Shanghai University of Science and Technology, Shanghai, China

    Chien Wei-zang

  2. Beijing Institute of Technology, Beijing, China

    Fan Da-jun

  3. Tsing Hua University, Beijing

    Hwang Chien

Authors
  1. Chien Wei-zang
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  2. Fan Da-jun
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  3. Hwang Chien
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Wei-zang, C., Da-jun, F. & Chien, H. Comparison of the calculations of three-convolution circular ARC corrugated diaphragms by toroidal shell theory and by orthogonal anisotropy plate theory. Appl Math Mech 5, 1019–1027 (1984). https://doi.org/10.1007/BF01875889

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  • DOI: https://doi.org/10.1007/BF01875889

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