| 摘要: |
| 提出了应用拓扑优化方法设计边坡的方法，并运用基于刚度的拓扑优化方法对一开挖边坡进行优化设计，分析了边坡优化过程中材料密度的变化以及应变能随优化区体积的变化规律，对比分析了边坡拓扑优化设计前后的应变能与水平位移。通过强度折减法计算分析了传统开挖边坡设计与拓扑优化设计边坡的稳定性。边坡拓扑优化设计沿原坡面进行删减单元，未出现空洞现象。优化后的坡体趋于三角形，应变能最大值减小，横向位移分布较为均匀，可以认为使用拓扑优化方法对开挖边坡进行优化是可行的。在坡顶荷载作用下，边坡坡比随高程而变，且上部坡比较小。拓扑优化设计的边坡在开挖区域内以及整个设计土坡的安全系数与在开挖同样体积下传统边坡设计的安全系数相差较小，拓扑优化设计的开挖边坡滑弧较不明显，并且拓扑优化方法在边坡设计时较好地考虑了边坡的土体材料特性及边坡的应变能。 |
| 关键词: 边坡设计 拓扑优化 开挖边坡 强度折减法 应变能 |
| DOI： |
| 分类号:TU413.6+2 |
| 基金项目: |
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| Slope design based on a topology optimization method |
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ZHANG Hong-wei, CAO Zhi, CHENG Yu-zhu, YANG Heng
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Key Laboratory of Hydraulic and Waterway Engineering of the Ministry of Education, Chongqing Jiaotong University
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| Abstract: |
| A topology optimization method for designing the excavation slope is put forward, and topology optimization method based on the stiffness in the optimization module of Abaqus has been used to optimally design an excavation slope. The change in the material density and the strain energy changing with the optimization of volume is analyzed in the process of topology optimization. The strain energy and horizontal displacement of the slope before and after topology optimization design are compared and analyzed. And the stability of the conventional method and the topology optimization method for designing the excavation slope is analyzed by the strength reduction method. The topology optimization method for designing the excavation slope reduces element along with the original slope and the optimization area of the slope has no phenomenon of cavitation. The slope after topology optimization tends to be triangle and lateral displacement distribution becomes uniform, so the topology optimization method for designing the excavation slope is feasible. The slope ratio is changing, and the upper slope ratio is smaller. The safety factor of the optimizing area and the slope designed by the topology optimization is equal to the safety factor for the slope designed by the conventional method in the excavation under the same volume. The sliding arc of the excavation slope designed by the topology optimization is less obvious than that of the slope designed by the conventional method. The topology optimization method for designing the excavation slope can well consider the material properties of the slope soil and the strain energy of the slope in the design. |
| Key words: slope design topology optimization excavation slope strength reduction method strain energy |
