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用双曲线数学模型描述被动土压力变化和挡土结构位移变化的关系。基于Mindlin弹性解,推导了土体某深度矩形区域作用均布水平荷载时该矩形区域内任意点水平位移的表达式,并用该表达式确定双曲线模型初始刚度。应用对数螺旋线被动土压力理论求解被动土压力,把该法求解的做图过程转化为数学迭代过程。算例表明,这样的被动土压力理论概念明确,结果准确。
Using hyperbolic mathematical model to describe the relationship between the change of passive earth pressure and the displacement of retaining structure. Based on Mindlin elastic solution, the expression of horizontal displacement of arbitrary point in the rectangular region under a uniform horizontal load acting on a certain depth of soil is deduced. The initial stiffness of the hyperbolic model is determined by this expression. The logarithmic spiral passive earth pressure theory is used to solve the passive earth pressure, and the process of solving the law is transformed into the mathematical iterative process. The example shows that the concept of such passive earth pressure is clear and the result is accurate.