Skip to main content
Log in

The solution of deflection of elastic thin plate by the joint action of dynamical lateral pressure, force in central surface and external field on the elastic base

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

Abstract

In this paper the Euler equation of the deflection of clastic thin plate is reduced to the equation with schrödinger form by the principle of quantum electro-dynamics. Then we can obtain the general solution of deflection of eleastic thin bending plate by the joint action of dynamical lateral pressure, force in central surface and external field on the elastic base.

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. Sheng, H.C., The general solution of elastic dynamics, Nature Journal, Shanghai, Vol. 7, No. 8 (1984), 633. (in Chinese)

    Google Scholar 

  2. Shen, H.C., The fission of spectum line of monochoromatic clastic wave, Applied Mathematics and Mechanics, Vol. 5, No. 4 (1984).

  3. Zhen, J.Y., quantum Mechanics, Science Press (1982), 578. (in Chinese)

  4. Dirac, P.A.M., The Principles of Quantum Mechanics, Oxford (1958).

  5. Cai, J.H., et al, Green Function Theory in Quantum Statistics, Science Press (1982), 21. (in Chinese)

  6. Stacey, F.D., Physics of the Earth, John Wiley & Sons, Inc (1977).

  7. Timoshenko, S.P. and J.M. Gere, Theory of Elastic Stability, McGraw-Hill (1961).

  8. Timoshenko, S.P. and S. Woinowsky-Krieger, Theory of Plates and Shells, New York (1940).

  9. Chien Wei-zang and Yeh Kai-yuan, Elasticity, Science Press (1956). (in Chinese)

  10. Zhang, F.F., Elastic Thin Plate, Science Press (1963), 3.

  11. ВолЬнир A. C. Pliable plate and Pliable Shell, Moscow (1956). (in Russian)

  12. Crawford, F.S., Waves, Berkeley Physics Course, Vol. 3, McGraw-Hill (1968).

  13. Van der Waerden, B.L., Group Theory and Quantum Mechanics, Springer-Verlag (1974).

  14. Dirac, P.A.M., The Principles of Quantum Mechanics, Oxford (1958), 261.

  15. Schiff, L.I., Quartum Mechanics, (3rd ed.) McGraw-Hill Book Company (1968).

  16. Kotani, S. and E. Hashihon, Special Function, Jap., Series of modern applied mathematics, Iwapa bookshop, Tokyo (1960).

    Google Scholar 

  17. Ley, Koo. E. and R. C. Wang, Charged spin-1/2 particles in uniform electrical-field, Journal of China University of Science and Thechnology, Vol. 13, No. 2 (1983) 167.

    Google Scholar 

  18. Erde'lyi, A., Highe'r Transdendent Functions, MeGraw-Hill Book co, Inc (1955).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Chien Wei-zang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hui-Chuan, S. The solution of deflection of elastic thin plate by the joint action of dynamical lateral pressure, force in central surface and external field on the elastic base. Appl Math Mech 5, 1791–1801 (1984). https://doi.org/10.1007/BF01904923

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01904923

Keywords

Navigation