| 引用本文: | 高广运,张继严,谢伟,徐晨晓.高铁弹塑性地基振动与变形的2.5维有限元算法[J].哈尔滨工业大学学报,2021,53(11):37.DOI:10.11918/201912079 |
| GAO Guangyun,ZHANG Jiyan,XIE Wei,XU Chenxiao.Improved 2.5D finite element method for vibration and deformation of elastoplastic subgrade under high-speed train load[J].Journal of Harbin Institute of Technology,2021,53(11):37.DOI:10.11918/201912079 |
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| 高铁弹塑性地基振动与变形的2.5维有限元算法 |
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高广运1,2,张继严1,2,谢伟1,2,徐晨晓1,2
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(1.同济大学 地下建筑与工程系,上海 200092; 2.岩土及地下工程教育部重点实验室(同济大学),上海 200092)
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| 摘要: |
| 针对高铁运行引起的地基振动和塑性变形问题,提出高铁荷载作用下弹塑性地基振动与变形的2.5维有限元算法。将高铁运行诱发的地基变形视为材料非线性问题,采用改进的摩尔-库伦模型模拟地基土,基于弹性地基2.5维有限元法,将通过弹性理论计算得到的位移作为试探位移,经摩尔-库伦屈服准则判定屈服后,引入切线刚度迭代法、后向欧拉积分算法和一致切线模量算法实现刚度矩阵的更新迭代,从而求解出高铁运行引起的塑性变形。在此基础上,将轨道视为Eular梁,采用修正的多频列车荷载模拟高铁列车运行,并使用黏弹性人工边界处理截断边界,建立高铁弹塑性地基振动与变形的2.5维有限元验证模型。通过与移动点荷载弹性半空间解析解和地面振动实测结果进行对比,验证本文弹塑性地基2.5维有限元法理论的正确性及模型应用的可靠性,表明该方法可用于高效求解高铁运行引起的地面振动及累积变形问题。 |
| 关键词: 弹塑性地基 2.5维有限元法 修正高铁荷载 振动 变形 |
| DOI：10.11918/201912079 |
| 分类号:U211.3 |
| 文献标识码:A |
| 基金项目:国家自然科学基金(0,8) |
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| Improved 2.5D finite element method for vibration and deformation of elastoplastic subgrade under high-speed train load |
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GAO Guangyun1,2,ZHANG Jiyan1,2,XIE Wei1,2,XU Chenxiao1,2
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(1.Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China; 2.Key Laboratory of Geotechnical and Underground Engineering (Tongji University), Ministry of Education, Shanghai 200092, China)
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| Abstract: |
| In view of the vibration and plastic deformation of subgrade under high-speed train load, the 2.5D finite element method for elastoplastic subgrade was proposed. The subgrade deformation induced by high-speed train load was regarded as material nonlinearity, and the improved Mohr-Coulomb model was adopted to simulate the elastoplastic soil. Based on the 2.5D finite element method, the displacement calculated by elastic theory was regarded as tentative displacement. When the soil reached yielding according to the improved Mohr-Coulomb yield criterion, the tangent stiffness iteration method, backward Euler integration algorithm, and uniform tangent modulus algorithm were introduced into the algorithm to update the stiffness matrix, and the plastic deformation induced by high-speed train operation was solved iteratively. On this basis, a 2.5D finite element method for elastoplastic subgrade was established, where the orbit was treated as Eular beam, the modified multi-frequency train load was adopted to simulate train operation, and the viscoelstic artificial boundary was used to treat the truncated boundary of the finite element model. The closed-form solution and field measurement results were compared to verify the correctness and reliability of the proposed model. Results indicate that the model can be used to efficiently solve the vibration and accumulative deformation problems of ground induced by high-speed train load. |
| Key words: elastoplastic subgrade 2.5D finite element method modified high-speed train load vibration deformation |
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