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.
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References
Sheng, H.C., The general solution of elastic dynamics, Nature Journal, Shanghai, Vol. 7, No. 8 (1984), 633. (in Chinese)
Shen, H.C., The fission of spectum line of monochoromatic clastic wave, Applied Mathematics and Mechanics, Vol. 5, No. 4 (1984).
Zhen, J.Y., quantum Mechanics, Science Press (1982), 578. (in Chinese)
Dirac, P.A.M., The Principles of Quantum Mechanics, Oxford (1958).
Cai, J.H., et al, Green Function Theory in Quantum Statistics, Science Press (1982), 21. (in Chinese)
Stacey, F.D., Physics of the Earth, John Wiley & Sons, Inc (1977).
Timoshenko, S.P. and J.M. Gere, Theory of Elastic Stability, McGraw-Hill (1961).
Timoshenko, S.P. and S. Woinowsky-Krieger, Theory of Plates and Shells, New York (1940).
Chien Wei-zang and Yeh Kai-yuan, Elasticity, Science Press (1956). (in Chinese)
Zhang, F.F., Elastic Thin Plate, Science Press (1963), 3.
ВолЬнир A. C. Pliable plate and Pliable Shell, Moscow (1956). (in Russian)
Crawford, F.S., Waves, Berkeley Physics Course, Vol. 3, McGraw-Hill (1968).
Van der Waerden, B.L., Group Theory and Quantum Mechanics, Springer-Verlag (1974).
Dirac, P.A.M., The Principles of Quantum Mechanics, Oxford (1958), 261.
Schiff, L.I., Quartum Mechanics, (3rd ed.) McGraw-Hill Book Company (1968).
Kotani, S. and E. Hashihon, Special Function, Jap., Series of modern applied mathematics, Iwapa bookshop, Tokyo (1960).
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.
Erde'lyi, A., Highe'r Transdendent Functions, MeGraw-Hill Book co, Inc (1955).
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Communicated by Chien Wei-zang.
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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
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DOI: https://doi.org/10.1007/BF01904923