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The method of matrices conjoint multiplication for the problem of circular arc corrugated diaphragm

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Abstract

The circular arc corrugated diaphragms are taken in this paper as composite structures of several sections of the ring shells and a central circular plate. Transfer matrices and link matrices are derived by using Prof. Chien Wei-zang's general solutions of the ring shells[1] and perturbation theory of the circular thin plates[2]. Through the method of matrices conjoint multiplication, the linear exact solution and nonlinear solution are obtained. The results agree with that of the experiments presented by W. A. Wildhack[3].

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References

  1. Chien Wei-zang and Zheng Si-liang, General solutions of axial symmetrical ring shells,Applied Mathematics and Mechanics,1, 3 (1980).

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  2. Chien Wei-zang, Large deflection of a circular clamped plate under uniform pressure,Chinese Journal of Physics, 7 (1947), 102–113. (in English)

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  3. Wildhack W. A., R. F. Dressler, E. C. Lloyd, Investigations of the Properties of Corrugated Diaphragms, Trans.ASME,79, (1957), 65–82.

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  4. Andreeva, L. E., Calculate corrugated membranes as anisotropic platesEngineering Authology,21 (1955), 128–141. (in Russian)

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  5. Fan Da-jun and Hwang Chien, Theoretical analysis of circular arc corrugated diaphragms and its engineering design method, The Proceedings of the Second National Conference of Chinese Scientific Instruments (1982), Beijing.

  6. Chien Wei-zang, Fan Da-jun, and Hwang Chien, Analysis of the calculations of three-convolution circular arc corrugated diaphragms by toroidal shell theory and by perpendicular anisotropy plate theory,Applied Mathematics and Mechanics,5, 1, (1984).

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Authors and Affiliations

  1. Huazhong University of Science and Technology, Wuhan

    Zhou Zhe-wei & Wang Shu

Authors
  1. Zhou Zhe-wei
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  2. Wang Shu
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Communicated by Chien Wei-zang.

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Zhe-wei, Z., Shu, W. The method of matrices conjoint multiplication for the problem of circular arc corrugated diaphragm. Appl Math Mech 6, 579–597 (1985). https://doi.org/10.1007/BF01876397

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  • DOI: https://doi.org/10.1007/BF01876397

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