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工程科学与技术:2012,44(3):42-46
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考虑整体力矩平衡的改进不平衡推力法
(1.长沙理工大学 交通运输工程学院;2.中铁二院工程集团有限责任公司)
Improved Imbalanced Thrust Force Method (ITFM) Considering Overall Moment Equilibrium
(1.School of Traffic and Transportation Eng., Changsha Univ. of Sci. & Technol.;2.China Railway Eryuan Eng. Group Co. Ltd)
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投稿时间:2011-11-13    修订日期:2012-01-05
中文摘要: 为了提高常用的剩余推力法的精度,通过引入比例因子确定条间力作用倾角,建立同时考虑力平衡和力矩平衡的联立方程组,求得边坡安全系数,并通过算例验证了其可靠性。研究表明:不平衡力矩和边坡安全系数均随着比例因子的变化而接近线性改变;相对于常规不平衡推力法而言,改进法求解安全系数时具有更高的精度和更快的收敛速度;在不考虑水平地震力时,条间力方向与条底滑面基本平行;考虑较大地震力作用时,条间力倾角变化主要集中发生在边坡后部的少数几个条块中。当比例因子为零时,改进不平衡推力法与常规不平衡推力法是一致的,故其可以视作常规法的扩展形式。
Abstract:In order to improve the precision of conventional imbalanced thrust force method (ITFM), by introducing proportion coefficient n,inter-slice force inclination was determined and equation set could be established to obtain the safety factor Fs,taking both force equilibrium and moment equilibrium into account. The reliability was finally verified by several examples. Researches showed that imbalanced moment and safety factor vary near linearly when n changes. Derivation of safety factor of the method owns faster convergence speed than conventional ITFM, as well as better accuracy. Without horizontal seismic force, inter-slice force inclination is similar to the slip surface, but inclination variation mainly occurs in few rear slices of the slope while taking significant seismic force into consideration. When n=0,improved ITFM is equivalent to conventional ITFM, and consequently it could be regarded as an extension of the conventional one.
文章编号:201100972     中图分类号:    文献标志码:
基金项目:国家自然科学基金资助项目(50778180);铁道部科技研究开发计划项目(2005K002-B-2-1)
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引用文本:
方薇,孙正兵,何晓敏.考虑整体力矩平衡的改进不平衡推力法[J].工程科学与技术,2012,44(3):42-46.
Fang Wei,Sun Zhengbing,He Xiaomin.Improved Imbalanced Thrust Force Method (ITFM) Considering Overall Moment Equilibrium[J].Advanced Engineering Sciences,2012,44(3):42-46.