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Energy method as solution for deformation of geosynthetic-reinforced embankment on Pasternak foundation

机译:能量法解决帕斯捷尔纳克地基上土工加筋路堤变形问题

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To more accurately analyze the settlement of geosynthetic-reinforced embankments on soft soil foundation, we simplified the ground surface structures as an Euler–Bernoulli beam, and the geosynthetic-reinforced layer as a Timoshenko beam. The granular fill and the soft soil foundation were both modelled using two-parameter Pasternak foundation models. We used energy method to establish energy balance equations for the system, and then we used the principle of resident potential energy to derive the governing differential equations of the settlement of the ground surface structures and the geosynthetic-reinforced layer. The MATLAB solver bvp4c was used to obtain numerical solutions for the settlement of the ground surface structures and the geosynthetic-reinforced layer on Pasternak foundations. By comparing to test results and existing models, the validity of the proposed solution is verified. This study analyzed the effects of parameters, such as flexural rigidity of the geosynthetic-reinforced layer, shear modulus of the granular fill, thickness of the soft soil foundation, and horizontal shear modulus of the Timoshenko beam, on the settlement of the ground surface structures and the geosynthetic-reinforced layer. The results showed that the model using a Pasternak foundation and a Timoshenko beam is more accurate at predicting settlement than that using a Winkler foundation and an Euler–Bernoulli beam.
机译:为了更准确地分析软土地基上的土工加筋路堤的沉降,我们将地表结构简化为Euler–Bernoulli梁,将土工加筋层简化为Timoshenko梁。颗粒填充和软土地基均使用两参数Pasternak基础模型进行建模。我们使用能量方法建立了系统的能量平衡方程,然后使用常驻势能原理推导了地面结构和土工合成材料加筋层沉降的控制微分方程。使用MATLAB解算器bvp4c来获得用于解决Pasternak地基上的地面结构和土工增强层的数值解。通过与测试结果和现有模型进行比较,验证了所提出解决方案的有效性。这项研究分析了土工合成材料加筋层的抗弯刚度,颗粒填料的剪切模量,软土地基的厚度以及Timoshenko梁的水平剪切模量等参数对地表结构沉降的影响以及土工合成材料增强层。结果表明,与使用Winkler基金会和Euler-Bernoulli光束的模型相比,使用Pasternak基金会和Timoshenko光束的模型在预测沉降方面更为准确。

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