多圆荷载下刚性道面变形和应力的计算

本文建立多圆荷载作用下弹性半空间体上薄板的挠度与应力的计算式。荷载数量及分布任意,每个圆荷载密度与轮迹半径彼此相异。对计算式中的反常积分及级数的收敛性予以证明。对含振荡函数反常积分建议一种方便的算法。

Generalized Analysis of Displacements and Stresses in Concrete Pavements under Multiple Circular Loads

in this paper we examine later displacements and stresses of an infinite elastic thin plate resting on an isotrapic elastic half-space under some uniform circular loads. Any circular load can disagree each other for loading intensity qi and radius ai. The analysis of the infinite plate problem recently has particular interest. Many structural foundations such as mat foundations subjected to highly group of columns loading and concrete pavements subjected to aircraft or traffic loads can be adequately represented by this model. General solutions of displacements and stresses of a plate are obtained to use coordinate transform. The later displacements and stresses obtained here have to be axially non-symmetric forms due to arbitrary distribution of circular loads. The converge of formulas is confirmed in this case. The numerical result of deflections and stresses of a plate consists excellently with that given by 3].