Nonlinear descriptions of vertical earth pressure against positive buried pipelines based on minor principal stress trajectory
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摘要: 针对上埋式涵管竖向土压力的非线性描述,考虑土拱效应和管土相对刚度的影响,建立了圆弧、抛物线和偏转角线性变化3种小主应力轨迹下上埋式涵管竖向土压力的非线性解答,继而结合等沉面高度确定给出应用步骤,并对比文献模型试验、现场实测和数值模拟验证了正确性和适用性,最后进行工程选用探讨。研究结果表明：所得解答合理呈现了上埋式涵管竖向土压力沿水平方向的非线性变化,具有广泛的理论意义和工程应用价值；3种小主应力轨迹解答的适用范围不尽相同,圆弧小主应力轨迹解答对低填方的刚性涵管和柔性涵管均有很好的适用性,偏转角线性变化小主应力轨迹解答常提供稍偏保守的土压力载荷,抛物线小主应力轨迹解答可应用于高填方柔性涵管但易出现明显的高估。Abstract: This study presents a nonlinear solution of vertical earth pressure against positive buried pipelines with three kinds of minor principal stress trajectories, such as the circular arc, the parabolic curve, and the rotation angle linearly changed. The proposed solution accounts for the effects of soil arching and pipe-soil relative stiffness to capture the nonlinear descriptions of vertical earth pressure against the positive buried pipelines. Application steps of the proposed solution are provided along with determining the height of an equal settlement plane. Comparative validations of the results from the model tests, field measurements, and numerical simulations reported in the literatures are then performed. Finally, engineering application suggestions are discussed. It is found from this study that the proposed nonlinear solution can reasonably describe the nonlinear distribution of vertical earth pressure against the positive buried pipelines in the horizontal direction, which is of broad theoretical significance and engineering applicability value. Three solutions have different application scopes corresponding with three trajectories of minor principal stress. The solution of the circular arc trajectory is well applicable for both the shallow-filled rigid and the flexible pipelines. The solution of the rotation angle linearly changed trajectory commonly provides slightly conservative estimations of vertical earth pressures. The solution of the parabolic trajectory can be applied to high-filled flexible pipelines, yet obvious overestimations often occur.
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图 5 偏转角线性变化小主应力轨迹
Figure 5. Rotation angle linearly-changed trajectory of minor principal stress
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图 7 3种小主应力轨迹解答与模型试验的对比
Figure 7. Comparison between three proposed solutions and model tests
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图 9 3种小主应力轨迹解答与现场实测的对比
Figure 9. Comparison between three proposed solutions and field measurements
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图 10 抛物线小主应力轨迹解答与现场实测的对比
Figure 10. Comparison between parabolic trajectory solution and field measurements
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图 11 3种小主应力轨迹解答与数值模拟的对比
Figure 11. Comparison between three proposed solutions and numerical simulations
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图 12 本文解答与文献多种方法的对比
Figure 12. Comparison between the proposed solution and various methods in literatures
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