Abstract: The results of static analysis of reinforced-concrete girder and slab bridges by elasticity theory cannot accord better with facts. For this reason, in this paper, we analyse the geometric nonlinearity of reinforced-concrete girder and slab bridges, propose the model of "orthogonal different thickness uniform slab", use the theory of Mindlin slab, consider the effect of shearing deflection, derive the nonlinear equilibrium equation by the principle of minimum potential energy, and give the solutions of the equation and eqivalent stiffness. Finally, the method of this paper is compared with others by numerical examples.

Key words: orthogonal different thickness uniform slab, geometric nonlinear analysis, equvalent stiffness, finite strip method

摘要： 比较成熟的基于弹性理论的钢筋混凝土梁(板)桥静力分析结果不能很好地反映梁(板)的实际受力情况。针对这一实际问题,本文用有限条法分析了钢筋混凝土梁(板)桥的几何非线性问题,建立了"正交异厚均质板"模型,运用Mindlin板理论,考虑了剪切变形的影响,基于最小势能原理建立了非线性平衡方程,并给出方程的解法和等效刚度的求法。最后用算例与其它方法进行了比较。

关键词: 正变异厚均质板, 几何非线性分析, 等效刚度, 有限条