弹性基上的薄板在侧向动载荷、中面力和外场联合作用下的小挠度弯曲

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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

Department of Earth and Space Sciences, University of Science and Technology of China, Hefei

摘要: 本文借用量子电动力学中的知识,将小挠度弹性薄板的一般Euler方程降阶成Schrödinger方程型的形式,进而求得了弹性基上的薄板在侧向动载荷、中面力和外场联合作用下的小挠度弯曲的一般解.

Abstract: In this paper the Euler equation of the deflection of elastic 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 elastic thin bending plate by the jointaction of dynamical lateral pressure, force mcentral surface and eternal, field on the elastic base.

[1]	沈惠川,弹性动力学的通解,自然杂志7,8(1984).633.
[2]	沈惠川,单色弹性波谱的分裂,应用数学和力学,5,4(1984).541-552.
[3]	曾谨言,《量子力学》,科学出版社(1982),578.
[4]	Dirac.P,A.M 《量子力学原理》,陈咸享译,科学出版社(1989),260.
[5]	蔡建华等.《量子统计的格林函数理论》,科学出版社(1982),21.
[6]	Stacey F,D 《地球物理学》傅承义校,地震出版社(1981).172.
[7]	Timoshenko,S,P,and J,M,Gere,《弹性稳定理论》张福范译,科学出版社(1965).
[8]	Timoshenko,S,P,and S,Woinowsky-Krieger,《板壳理论》.科学出版社(1977),406.
[9]	钱伟长、叶开沅,《弹性力学》,科学出版社(1956),260.
[10]	张福范,《弹性薄板》,科学出版社(1963),3.
[11]	Волъмир A,C 《柔韧板与柔韧壳》,卢文达等译,科学出版社(1959).
[12]	Crawford,F,S 《波动学》,伯克利物理学教程,Vol,3,卢鹤级等译.科学出版社(1981).96.