In recent years,there is a scenario in urban tunnel constructions to build super-large-span tunnels for traffic diversion and route optimization purposes.However,the increased size makes tunnel support more difficult....In recent years,there is a scenario in urban tunnel constructions to build super-large-span tunnels for traffic diversion and route optimization purposes.However,the increased size makes tunnel support more difficult.Unfortunately,there are few studies on the failure and support mechanism of the surrounding rocks in the excavation of supported tunnel,while most model tests of super-large-span tunnels focus on the failure characteristics of surrounding rocks in tunnel excavation without supports.Based on excavation compensation method(ECM),model tests of a super-large-span tunnel excavation by different anchor cable support methods in the initial support stage were carried out.The results indicate that during excavation of super-large-span tunnel,the stress and displacement of the shallow surrounding rocks decrease,following a step-shape pattern,and the tunnel failure is mainly concentrated on the vault and spandrel areas.Compared with conventional anchor cable supports,the NPR(negative Poisson’s ratio)anchor cable support is more suitable for the initial support stage of the super-large-span tunnels.The tunnel support theory,model test materials,methods,and the results obtained in this study could provide references for study of similar super-large-span tunnels。展开更多
In the Lagrangian meshless(particle)methods,such as the smoothed particle hydrodynamics(SPH),moving particle semi-implicit(MPS)method and meshless local Petrov-Galerkin method based on Rankine source solution(MLPG_R),...In the Lagrangian meshless(particle)methods,such as the smoothed particle hydrodynamics(SPH),moving particle semi-implicit(MPS)method and meshless local Petrov-Galerkin method based on Rankine source solution(MLPG_R),the Laplacian discretisation is often required in order to solve the governing equations and/or estimate physical quantities(such as the viscous stresses).In some meshless applications,the Laplacians are also needed as stabilisation operators to enhance the pressure calculation.The particles in the Lagrangian methods move following the material velocity,yielding a disordered(random)particle distribution even though they may be distributed uniformly in the initial state.Different schemes have been developed for a direct estimation of second derivatives using finite difference,kernel integrations and weighted/moving least square method.Some of the schemes suffer from a poor convergent rate.Some have a better convergent rate but require inversions of high order matrices,yielding high computational costs.This paper presents a quadric semi-analytical finite-difference interpolation(QSFDI)scheme,which can achieve the same degree of the convergent rate as the best schemes available to date but requires the inversion of significant lower-order matrices,i.e.3×3 for 3D cases,compared with 6×6 or 10×10 in the schemes with the best convergent rate.Systematic patch tests have been carried out for either estimating the Laplacian of given functions or solving Poisson’s equations.The convergence,accuracy and robustness of the present schemes are compared with the existing schemes.It will show that the present scheme requires considerably less computational time to achieve the same accuracy as the best schemes available in literatures,particularly for estimating the Laplacian of given functions.展开更多
A class of third-order convergence methods of solving roots for non-linear equation,which are variant Newton＇s method, are given. Their convergence properties are proved. They are at least third order convergence nea...A class of third-order convergence methods of solving roots for non-linear equation,which are variant Newton＇s method, are given. Their convergence properties are proved. They are at least third order convergence near simple root and one order convergence near multiple roots. In the end, numerical tests are given and compared with other known Newton＇s methods. The results show that the proposed methods have some more advantages than others. They enrich the methods to find the roots of non-linear equations and they are important in both theory and application.展开更多
随着西部天文选址工作在川西无名山地区的逐步深入,利用地理信息科学(Geographic Information System,GIS)手段收集了大量长期数据,对无名山及周边地区的地理、地质、气候、气象、社会与人口发展趋势等方面开展了详细的调查研究.资料分...随着西部天文选址工作在川西无名山地区的逐步深入,利用地理信息科学(Geographic Information System,GIS)手段收集了大量长期数据,对无名山及周边地区的地理、地质、气候、气象、社会与人口发展趋势等方面开展了详细的调查研究.资料分析结果显示:无名山地处青藏高原向东延伸的褶皱地带—典型的横断山脉地区,形成地势整体落差大、山脊走势平缓、地质结构稳定的特色.无名山区域最高点海拔高度超过5000 m,但附近存在海拔仅2000–3000 m的人口定居点多处,可实现低成本后勤保障;鲜有地震泥石流等不良地质灾害记录;大气干燥、植被稀少、地表半干旱状态;常年盛行西南风,冬季气候寒冷、降雨量稀少,夏季受南部印度洋暖湿气流影响存在明显的雨季;属大香格里拉核心地带,大气洁净度高,无沙尘暴等恶劣天气记录;年均云量少于5成,风向稳定、风速小,可利用晴日/夜数多;人口稀少、经济发展缓慢、社会和谐稳定、远离川滇藏经济相对发达地区;近年来随着本地区旅游资源开发,交通条件得到明显改善,具备高质量公路维护与日常航空运输能力,鲜有其他高原地区常见的大雪封山、航空停运等运输不畅情形发生.因此,GIS综合分析结果表明:无名山地区满足建设高海拔天文观测站的一系列基本保障条件,是我国西部难得的光学/红外天文址点资源.展开更多
基金supported by the Innovation Fund Research Project of State Key Laboratory for Geomechanics and Deep Underground Engineering,China University of Mining and Technology(Grant No.SKLGDUEK202201)the Foundation for the Opening of State Key Laboratory for Geomechanics and Deep Underground Engineering,China University of Mining and Technology(Grant No.SKLGDUEK2129)the Open Research Fund of State Key Laboratory of Geomechanics and Geotechnical Engineering,Institute of Rock and Soil Mechanics,Chinese Academy of Sciences(Grant No.Z020007)。
文摘In recent years,there is a scenario in urban tunnel constructions to build super-large-span tunnels for traffic diversion and route optimization purposes.However,the increased size makes tunnel support more difficult.Unfortunately,there are few studies on the failure and support mechanism of the surrounding rocks in the excavation of supported tunnel,while most model tests of super-large-span tunnels focus on the failure characteristics of surrounding rocks in tunnel excavation without supports.Based on excavation compensation method(ECM),model tests of a super-large-span tunnel excavation by different anchor cable support methods in the initial support stage were carried out.The results indicate that during excavation of super-large-span tunnel,the stress and displacement of the shallow surrounding rocks decrease,following a step-shape pattern,and the tunnel failure is mainly concentrated on the vault and spandrel areas.Compared with conventional anchor cable supports,the NPR(negative Poisson’s ratio)anchor cable support is more suitable for the initial support stage of the super-large-span tunnels.The tunnel support theory,model test materials,methods,and the results obtained in this study could provide references for study of similar super-large-span tunnels。
文摘In the Lagrangian meshless(particle)methods,such as the smoothed particle hydrodynamics(SPH),moving particle semi-implicit(MPS)method and meshless local Petrov-Galerkin method based on Rankine source solution(MLPG_R),the Laplacian discretisation is often required in order to solve the governing equations and/or estimate physical quantities(such as the viscous stresses).In some meshless applications,the Laplacians are also needed as stabilisation operators to enhance the pressure calculation.The particles in the Lagrangian methods move following the material velocity,yielding a disordered(random)particle distribution even though they may be distributed uniformly in the initial state.Different schemes have been developed for a direct estimation of second derivatives using finite difference,kernel integrations and weighted/moving least square method.Some of the schemes suffer from a poor convergent rate.Some have a better convergent rate but require inversions of high order matrices,yielding high computational costs.This paper presents a quadric semi-analytical finite-difference interpolation(QSFDI)scheme,which can achieve the same degree of the convergent rate as the best schemes available to date but requires the inversion of significant lower-order matrices,i.e.3×3 for 3D cases,compared with 6×6 or 10×10 in the schemes with the best convergent rate.Systematic patch tests have been carried out for either estimating the Laplacian of given functions or solving Poisson’s equations.The convergence,accuracy and robustness of the present schemes are compared with the existing schemes.It will show that the present scheme requires considerably less computational time to achieve the same accuracy as the best schemes available in literatures,particularly for estimating the Laplacian of given functions.
基金Foundation item： Supported by the National Science Foundation of China（10701066）
文摘A class of third-order convergence methods of solving roots for non-linear equation,which are variant Newton＇s method, are given. Their convergence properties are proved. They are at least third order convergence near simple root and one order convergence near multiple roots. In the end, numerical tests are given and compared with other known Newton＇s methods. The results show that the proposed methods have some more advantages than others. They enrich the methods to find the roots of non-linear equations and they are important in both theory and application.
文摘随着西部天文选址工作在川西无名山地区的逐步深入,利用地理信息科学(Geographic Information System,GIS)手段收集了大量长期数据,对无名山及周边地区的地理、地质、气候、气象、社会与人口发展趋势等方面开展了详细的调查研究.资料分析结果显示:无名山地处青藏高原向东延伸的褶皱地带—典型的横断山脉地区,形成地势整体落差大、山脊走势平缓、地质结构稳定的特色.无名山区域最高点海拔高度超过5000 m,但附近存在海拔仅2000–3000 m的人口定居点多处,可实现低成本后勤保障;鲜有地震泥石流等不良地质灾害记录;大气干燥、植被稀少、地表半干旱状态;常年盛行西南风,冬季气候寒冷、降雨量稀少,夏季受南部印度洋暖湿气流影响存在明显的雨季;属大香格里拉核心地带,大气洁净度高,无沙尘暴等恶劣天气记录;年均云量少于5成,风向稳定、风速小,可利用晴日/夜数多;人口稀少、经济发展缓慢、社会和谐稳定、远离川滇藏经济相对发达地区;近年来随着本地区旅游资源开发,交通条件得到明显改善,具备高质量公路维护与日常航空运输能力,鲜有其他高原地区常见的大雪封山、航空停运等运输不畅情形发生.因此,GIS综合分析结果表明:无名山地区满足建设高海拔天文观测站的一系列基本保障条件,是我国西部难得的光学/红外天文址点资源.
