基于三维极限分析法的GIM和SRM边坡安全系数计算结果对比
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(1.西安建筑科技大学资源工程学院,陕西 西安710055;2.西安建筑科技大学土木工程学院,陕西 西安710055;3.西安建筑科技大学理学院,陕西 西安710055)

作者简介:

洪勇(1986—),男,讲师,博士研究生,主要从事岩土与边坡工程研究。E-mail:hy201105@xauat.edu.cn

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中图分类号:

U213.1+3

基金项目:

国家自然科学基金(11872287);陕西省教育厅基金(21JK0719);西安建筑科技大学基金(ZR19063)


Comparison of GIM and SRM calculated slope safety factor based on three-dimensional limit analysis method
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(1.School of Resources Engineering, Xi'an University of Architecture and Technology, Xi’an 710055, China;2.School of Civil Engineering, Xi'an University of Architecture and Technology, Xi’an 710055, China;3.School of Science, Xi'an University of Architecture and Technology, Xi’an 710055, China )

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    摘要:

    基于三维牛角转动破坏模型的三维极限分析上限理论,建立了考虑坡顶倾角的边坡功率平衡方程,基于MATHEMATICA软件采用带有约束条件的穷举法优化求解了边坡安全系数最小值,在考虑参数c/γH、内摩擦角φ、坡顶倾角α和边坡倾角β的情况下,定量对比分析了强度折减法(SRM)和容重增加法(GIM)计算的边坡安全系数。结果表明,边坡安全系数等于1时,GIM和SRM计算结果接近且近似都等于1;边坡安全系数大于1时,GIM计算结果大于SRM;边坡安全系数小于1时,SRM计算结果大于GIM;边坡安全系数小于1.2以下的稳定边坡,GIM和SRM法计算结果无明显差异。

    Abstract:

    Based on the three-dimensional upper limit analysis theory with three-dimensional horn-like rotational failure mechanism, the power balance equation was established considering slope angle of the slope crest. The software MATHEMATICA and exhaustive method with constraint optimization were used to solve the minimum of safety factor. Under different parameter c/γH, internal friction angle φ, slope crest angle αand slope inclination angle β, the slope safety factors calculated by the strength reduction method (SRM) and gravity increase method (GIM) were quantitatively compared and analyzed. The results show that when FS is equal to one, the results calculated by GIM and SRM are close to each other and approximately equal to one. When FS is greater than one, GIM is greater than SRM. When FS is less than one, SRM is greater than GIM method. For stable slopes with FS below 1.2, the errors of GIM and SRM methods are within the acceptable range.

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洪勇,邵珠山,石广斌,等.基于三维极限分析法的GIM和SRM边坡安全系数计算结果对比[J].河海大学学报(自然科学版),2022,50(4):112-120.(HONG Yong, SHAO Zhushan, SHI Guangbin, et al. Comparison of GIM and SRM calculated slope safety factor based on three-dimensional limit analysis method[J]. Journal of Hohai University (Natural Sciences),2022,50(4):112-120.(in Chinese))

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  • 收稿日期:2021-08-30
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  • 在线发布日期: 2022-07-25
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