为克服现有Winkler模型未考虑渠基冻土连续性的不足,引入Pasternak剪切层描述独立土弹簧间的相互作用,进而提出Pasternak冻土地基上梯形渠道冻胀力学分析方法。对基土均匀冻胀且无顶盖板约束的梯形渠道导出接触面法向应力、衬砌板冻胀位移及截面内力分布的解析式。以甘肃省某梯形渠道为例,应用本文模型和Winkler模型计算各衬砌板冻胀位移分布及接触面法向应力分布,并结合观测值进行了对比。结果表明:本文模型计算结果与观测值符合良好,且相比Winkler模型计算结果更接近观测值,能更加准确地反映衬砌冻胀位移分布规律,表明模型合理性。该模型能较好地体现法向冻胀力随衬砌冻胀变形的释放与衰减;法向冻胀力作用于坡板中下部且呈非线性、差异分布;中上部有脱开、翘起趋势而受法向冻结力作用;底板则只受法向冻胀力作用。研究结果可为梯形渠道抗冻胀设计提供参考。
Abstract
To address the limitations of the existing Winkler model which fails to account for the continuity of frozen soil in the channel bed, we introduce the Pasternak shear layer to describe the interaction between independent soil springs, and further develop a novel analytical method for analyzing the mechanics of frost heave in trapezoidal channels with a frozen permafrost foundation. Analytical formulas are derived for the normal stress on contact surface, the frost heave displacement of lining plates, and the internal force distribution within the cross-section of a trapezoidal channel with uniformly frozen foundation soil and no top cover constraint. With a trapezoidal channel in Gansu Province as a case study, we compare the calculated results of frost heave displacement of the lining plates and the distribution of normal stress on the contact surface obtained from our proposed model with those from the Winkler model. The results demonstrate a good agreement between our model and the observed values, indicating that our model provides a more accurate representation and is closer to the actual observations compared to the Winkler model. This highlights the rationality and reliability of our proposed model. Moreover, the model effectively captures the dynamics of normal frost heave force, including its release and attenuation in response to the deformation of the lining plates. It also accounts for the non-linear and differential distribution of the normal frost heave force on the middle and lower parts of the slope plate, the tendency for detachment and uplift in the middle and upper parts due to the action of normal freezing force, and the exclusive impact of normal frost heave force on the bottom plate. These research findings offer valuable insights and serve as a practical reference for the design of frost heave resistance in trapezoidal channels.
关键词
冻土工程 /
衬砌渠道 /
冻胀变形 /
力学模型 /
Pasternak地基
Key words
frozen soil engineering /
concrete lining canal /
frost heave deformation /
mechanical model /
Pasternak foundation
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基金
国家重点研发计划重点专项(2017YFC0405100);国家自然科学基金项目(U2003108,51641903,51869029);冻土工程国家重点实验室开放基金项目(SKLFSE201801);江西省教育厅科技项目(GJJ190621);江西科技师范大学博士科研启动基金项目(2019BSQD11)
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