刚性挡土墙地震主动土压力的非线性分布

以Mononobe-Okabe假定为前提,利用水平层分析法,建立了地震荷载作用下刚性挡土墙平移模式下的主动土压力强度的一阶微分方程,并求得非线性分布解.所得合力公式与Mononobe-Okabe公式完全相同.分析结果表明,地震系数对土压力强度分布有很大影响.另外,通过探讨填土的内摩擦角、墙背的摩擦角以及地震系数对主动土压力合力作用点高度的影响,认为Mononobe-Okabe理论对于平移模式下刚性挡土墙的抗倾覆稳定性是偏于危险的.

Nonlinear Distribution of Seismic Active Earth Pressure on Rigid Retaining Walls

Based on the Mononobe-Okabe's postulation and by using the method of level_layer analysis, the first_order differential equation of the active pressure on rigid retaining walls with the translational movement mode under earthquake loads is set up, and the theoretical answers to the nonlinear distribution of the active earth pressures are obtained, with the formula of the resultant earth pressures in this paper identical to Mononobe-Okabe's. It is demonstrated that the earthquake coefficient has influence on the distribution of earth pressures. Moreover, the discussions on the influence on the points of application of the resultant earth pressures by the internal friction angle of filling, the friction angle between wall and filling and the earthquake coefficient indicate that it is dangerous for the overturning stability of retaining walls with the translational movement mode if they are designed according to the Mononobe-Okabe's theory.