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
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
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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.
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