Skip to main content
Log in

A method using the reciprocal theorem to solve the bending of thin elastic semicircular plates

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

The bending of the thin elastic semicircular plates, because of its complicated boundary conditions, brings some difficulties, for us to obtain its solution. This paper applies, the reciprocal theorem to propose a general simple convenient method to obtain the transverse deflectional equations of the plates.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Chien Wei-zang and Yeh Kai-yuan,Mechanics of Elasticity, Science Press (1965). (in Chinese)

  2. Timoshenko, S. and S. Woinowsky-Krieger,Theory of Plates and Shells, 2nd Ed. (1959).

  3. Fu Bao-lian, Application of the reciprocal theorem to solving the transverse displacement equations of the thin elastic rectangular plates with complex boundary conditions,Appl. Math. and Mech. (English Ed.),3, 3 (1982), 353–364.

    Article  Google Scholar 

  4. Li Nong and Fu Bao-lian, Application of the reciprocal theorem for calculating the transverse displacement equations of the thin elastic circular plates,Appl. Math. and Mech. (English Ed.),9, 19 (1988), 891–898.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Pan Li-zhou

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nong, L. A method using the reciprocal theorem to solve the bending of thin elastic semicircular plates. Appl Math Mech 13, 1127–1131 (1992). https://doi.org/10.1007/BF02456153

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02456153

Key words

Navigation