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Stability of an elastic arch in a rigid cavity

Stability of equilibrium in large “snap-through” is investigated both analytically and experimentally. Good agreement is found to exist between the two modes of investigation

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Abstract

A thin, elastic circular arch, clamped at its ends and constrained in a rigid cavity, is subjected to a uniformly distributed parallel loading. Stability of equilibrium in the large “snap-through” is investigated both analytically and experimentally and good agreement is found to exist between the two modes of investigation. It is concluded that the set of simplifying assumptions introduced in the analysis is justified. Simple analytical results obtained in the paper allow the design of underground shelters under this type of loading.

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References

  1. Vol'mir, A. S., “Ustoichivost' uprugikh sistem (Stability of Elastic Systems),”Fizmatgiz, Moscow (1963).

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  2. Zagustin, E. A., and Herrmann, G., “Stability of an Elastic Ring in a Rigid Gravity,” Jnl. Appl. Mech., 263–270 (June 1967).

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Authors and Affiliations

  1. Civil Engineering Department, California State College, Long Beach, Calif.

    E. A. Zagustin (Associate Professor)

  2. The Technological Institute, Northwestern University, Evanston, Ill.

    G. Herrmann (Professor of Civil Engineering)

Authors
  1. E. A. Zagustin
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  2. G. Herrmann
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Zagustin, E.A., Herrmann, G. Stability of an elastic arch in a rigid cavity. Experimental Mechanics 8, 572–576 (1968). https://doi.org/10.1007/BF02327521

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  • DOI: https://doi.org/10.1007/BF02327521

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