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多跨梁离散系统的频谱和模态的定性性质 被引量:10
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作者 王其申 吴磊 王大钧 《力学学报》 EI CSCD 北大核心 2009年第6期947-952,共6页
采用差分法建立了两端任意支承多跨梁的差分离散模型,对只具有两端支承的单跨梁是正系统的情形,导出了对应的多跨梁差分离散系统的柔度系数;从单跨梁正系统的刚度矩阵的符号振荡性出发,通过引入辅助系统,讨论了多跨梁的柔度矩阵的振荡性... 采用差分法建立了两端任意支承多跨梁的差分离散模型,对只具有两端支承的单跨梁是正系统的情形,导出了对应的多跨梁差分离散系统的柔度系数;从单跨梁正系统的刚度矩阵的符号振荡性出发,通过引入辅助系统,讨论了多跨梁的柔度矩阵的振荡性,确定了对应于单跨梁正系统的多跨梁差分离散系统的频谱和模态的一系列定性性质。 展开更多
关键词 多跨梁 柔度矩阵 频谱 模态 定性性质
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外伸梁差分离散系统刚度矩阵的符号振荡性及其定性性质 被引量:4
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作者 王其申 王大钧 +2 位作者 吴磊 刘全金 章礼华 《振动与冲击》 EI CSCD 北大核心 2009年第6期113-117,共5页
首先建立了外伸梁的差分离散模型,导出了外伸梁离散系统的刚度矩阵。接着对两跨外伸梁证明了其刚度矩阵的符号振荡性,进而证明了三跨外伸梁刚度矩阵的符号振荡性。在此基础上阐明了外伸梁的频率和模态的基本振荡特性。
关键词 外伸梁 刚度矩阵 符号振荡性 定性性质
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外伸梁离散系统模态的若干定性性质 被引量:3
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作者 王其申 章礼华 王大钧 《力学学报》 EI CSCD 北大核心 2012年第6期1071-1074,共4页
在已证明外伸梁的差分离散模型频率和位移振型基本振荡性质的基础上,首先揭示了两跨外伸梁的共轭系统是一端铰支一端固定并有一个中间铰的两跨连续梁,证明了两跨外伸梁的共轭梁的刚度矩阵是符号振荡矩阵,进而确定了外伸梁的弯矩振型的... 在已证明外伸梁的差分离散模型频率和位移振型基本振荡性质的基础上,首先揭示了两跨外伸梁的共轭系统是一端铰支一端固定并有一个中间铰的两跨连续梁,证明了两跨外伸梁的共轭梁的刚度矩阵是符号振荡矩阵,进而确定了外伸梁的弯矩振型的符号改变数;由此进一步讨论了它的转角振型和剪力振型的符号改变数规律以及位移振型的其他一些定性性质. 展开更多
关键词 外伸梁 共轭系统 弯矩 转角和剪力振型 定性性质
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杆、梁离散和连续系统的振动定性性质的统一论证 被引量:4
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作者 王其申 王大钧 《力学学报》 EI CSCD 北大核心 1997年第1期99-102,共4页
采用极限过渡法,从杆、梁差分离散系统刚度矩阵的符号振荡性导出相应系统格林函数的振荡性。
关键词 极限过渡 定性性质 振动
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非线性抛物问题熵解的某些定性性质
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作者 李风泉 《数学年刊(A辑)》 CSCD 北大核心 2000年第5期519-528,共10页
本文研究了非线性抛物问题熵解的正性依赖于初始资料和方程右端项的正性以及熵解的稳定性依赖于方程右端项的弱L^1摄动。
关键词 非线性抛物问题 熵解 正性 定性 定性性质
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动力系统定性性质和稳定性分析的一种几何方法
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作者 王艾伦 钟掘 《中南工业大学学报》 CSCD 北大核心 2000年第1期67-70,共4页
由H .Poincare和A .M .Lyapunov建立的动力系统的定性理论和稳定性理论是基于相空间的 ,作者通过对系数矩阵A进行变换和分析 ,提出一种在系数空间上研究平面动力系统定性性质和稳定性的几何方法———特征 耦合圆法 ,并用此方法对一简... 由H .Poincare和A .M .Lyapunov建立的动力系统的定性理论和稳定性理论是基于相空间的 ,作者通过对系数矩阵A进行变换和分析 ,提出一种在系数空间上研究平面动力系统定性性质和稳定性的几何方法———特征 耦合圆法 ,并用此方法对一简谐系统进行了分析和描述 .结果表明 ,分析动力系统的定性性质和稳定性既可在相空间上进行 ,也可在系数空间上进行 .此外 ,该方法也可推广到非线性系统和高维系统中 。 展开更多
关键词 动力系统 几何方法 定性 定性性质
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可能性测度下计算树逻辑的若干性质 被引量:7
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作者 李亚利 李永明 《陕西师范大学学报(自然科学版)》 CAS CSCD 北大核心 2013年第6期6-11,共6页
为讨论可能的计算树逻辑(PoCTL)与计算树逻辑(CTL)的关系,给出PoCTL公式与CTL公式等价的概念,利用公式的等价性证明了CTL是PoCTL的一个真子集.通过PoCTL模型检测算法与PoCTL公式的分析,解决了PoCTL模型检测的时间复杂度问题.最后对重复... 为讨论可能的计算树逻辑(PoCTL)与计算树逻辑(CTL)的关系,给出PoCTL公式与CTL公式等价的概念,利用公式的等价性证明了CTL是PoCTL的一个真子集.通过PoCTL模型检测算法与PoCTL公式的分析,解决了PoCTL模型检测的时间复杂度问题.最后对重复事件与持久性事件的定性性质及定量性质进行研究,用实例验证了CTL公式与PoCTL公式在可能性测度与概率测度下的本质区别. 展开更多
关键词 计算树逻辑 可能的Kripke结构 等价性 定性性质 定量性质
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Syntheses,proton conduction,and transport mechanism of two three‑dimensional lanthanum phosphite‑oxalates
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作者 LU Yang HUANG Liangliang +2 位作者 ZHAO Wei WANG Xin BI Yanfeng 《无机化学学报》 北大核心 2025年第10期2127-2137,共11页
To develop proton-conducting materials with high hydrothermal and acid-base stability and to elucidate the proton-transport mechanism through visualized structural analysis,two new lanthanum phosphite-oxalates with 3D... To develop proton-conducting materials with high hydrothermal and acid-base stability and to elucidate the proton-transport mechanism through visualized structural analysis,two new lanthanum phosphite-oxalates with 3D frameworks,designated as[La(HPO_(3))(C_(2)O_(4))0.5(H_(2)O)_(2)](La‑1)and(C_(6)H_(16)N_(2))(H_(3)O)[La_(2)(H_(2)PO_(3))_(3)(C_(2)O_(4))_(3)(H_(2)O)](La‑2)(C_(6)H_(14)N_(2)=cis-2,6-dimethylpiperazine),were prepared by hydrothermal and solvothermal conduction,respectively.La‑1 was constructed with lanthanum phosphite 2D layers and C_(2)O_(4)^(2-)groups,whereas La‑2 was constructed with lanthanum oxalate 2D layers and H_(2)PO^(3-)groups.Alternating current(AC)impedance spectra indicate that the pro-ton conductivities of both compounds could reach 10^(-4)S·cm^(-1)and remain highly durable at 75℃and 98%of rela-tive humidity(RH).Due to the abundance of H-bonds in La‑2,theσof La‑2 was higher than that of La‑1.La‑1 exhibited excellent water and pH stability.CCDC:2439965,La‑1;443776,La‑2. 展开更多
关键词 OPEN-FRAMEWORK lanthanum phosphite-oxalate proton conductivity stability
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非均匀圆膜轴对称振动的离散模型的振动反问题 被引量:5
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作者 王其申 汪杨 +2 位作者 何敏 钱华峰 刘全金 《振动与冲击》 EI CSCD 北大核心 2011年第8期258-263,共6页
研究圆膜的振动反问题。首先,采用二阶中心差分格式,导出了圆膜做轴对称振动的差分离散模型。阐明了这一离散模型属于雅可比正系统,进而获得了该系统的振动定性性质。在此基础上,提出了周边固定或周边弹性支承膜的离散系统的模态反问题... 研究圆膜的振动反问题。首先,采用二阶中心差分格式,导出了圆膜做轴对称振动的差分离散模型。阐明了这一离散模型属于雅可比正系统,进而获得了该系统的振动定性性质。在此基础上,提出了周边固定或周边弹性支承膜的离散系统的模态反问题以及周边固定和周边弹性支承膜的离散系统的频率反问题。借助Jacobi矩阵反问题的已有成果,成功地求解了上述两个新的反问题。最后给出了反问题的三个计算实例,验证了反问题提法和解法的正确性。 展开更多
关键词 圆膜 轴对称振动 差分离散模型 定性性质 反问题
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Censored Composite Conditional Quantile Screening for High-Dimensional Survival Data
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作者 LIU Wei LI Yingqiu 《应用概率统计》 CSCD 北大核心 2024年第5期783-799,共17页
In this paper,we introduce the censored composite conditional quantile coefficient(cC-CQC)to rank the relative importance of each predictor in high-dimensional censored regression.The cCCQC takes advantage of all usef... In this paper,we introduce the censored composite conditional quantile coefficient(cC-CQC)to rank the relative importance of each predictor in high-dimensional censored regression.The cCCQC takes advantage of all useful information across quantiles and can detect nonlinear effects including interactions and heterogeneity,effectively.Furthermore,the proposed screening method based on cCCQC is robust to the existence of outliers and enjoys the sure screening property.Simulation results demonstrate that the proposed method performs competitively on survival datasets of high-dimensional predictors,particularly when the variables are highly correlated. 展开更多
关键词 high-dimensional survival data censored composite conditional quantile coefficient sure screening property rank consistency property
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南昆铁路柏子村1号隧道病害研究 被引量:5
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作者 杨文辉 《铁道工程学报》 EI 北大核心 2013年第4期86-91,共6页
研究目的:柏子村1号隧道施工阶段塌方严重,竣工后对拱部衬砌出现的裂缝进行了修补。建成营运初期,出口段发现新裂缝并迅速向进口端发展,病害严重段,拱顶纵向压裂、压溃掉块,拱脚、边墙及拱腰纵向开裂、错台侵限;隧道山体地面出现裂缝。... 研究目的:柏子村1号隧道施工阶段塌方严重,竣工后对拱部衬砌出现的裂缝进行了修补。建成营运初期,出口段发现新裂缝并迅速向进口端发展,病害严重段,拱顶纵向压裂、压溃掉块,拱脚、边墙及拱腰纵向开裂、错台侵限;隧道山体地面出现裂缝。隧区不具备变线保通条件,病害发展随时有长时间中断西南出海大通道的危险,需对其进行研究。研究结论:柏子村1号隧道隧道病害为古滑坡活动所致。地层关系倒置、明显的古滑面(带)是该古滑坡存在的直接、确定性判据,地形地貌特征、滑体位移特征是间接、补充性判据。研究揭示了该古滑坡活动的物质基础(内因)及诱发因素(外因)。总结出类似滑坡的主滑方向研判方法:主滑方向通常与地形最大坡度方向、山体软弱层最大倾斜方向一致;主滑方向通常与古滑坡的滑动方向、滑体地层保留的母岩特征中层面倾向一致;主滑方向与隧道衬砌等地下结构受到的最大主压应力方向一致;主滑方向与平面最大水平位移矢量方向一致。滑坡处于蠕动阶段,推动作用明显,提出以抗滑桩为主的综合整治措施。勘察研究方法及成果对类似滑坡、古(老)滑坡工程勘察、设计与施工具有借鉴意义。 展开更多
关键词 隧道病害 古滑坡判据 活动原因 滑动性质与稳定性 治理措施
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Ground stability of underground gateroad with 1 km burial depth: A case study from Xingdong coal mine, China 被引量:15
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作者 ZHANG Guang-chao HE Fu-lian +1 位作者 LAI Yong-hui JIA Hong-guo 《Journal of Central South University》 SCIE EI CAS CSCD 2018年第6期1386-1398,共13页
This paper presents an integrated investigation of the ground stability of a deep gateroad with a 1 km burial depth based on a field test, case studies, and numerical modelling. In situ stress measurements and mechani... This paper presents an integrated investigation of the ground stability of a deep gateroad with a 1 km burial depth based on a field test, case studies, and numerical modelling. In situ stress measurements and mechanical properties tests were first conducted in the test site. Then, the deformation behavior, stress and yield zone distributions, as well as the bolts load of the gateroad, were simulated using FLAC3D software. The model results demonstrated that the soft rock properties and high in situ stress were the main factors for the deep gateroad instability, and the shear slip failure induced by the high stress was the primary failure model for the deep rock mass. In addition, the unsuitable support patterns, especially the relatively short bolts/cables with low pre-tensions, the lack of high-strengthen secondary supports and the unsupported floor strata, also contributed to the gateroad instability. Subsequently, a new combined supporting strategy, incorporating longer bolts/cables, yielding ring supports, and grouting measures, was proposed for the deep gateroad, and its validity was verified via field monitoring. All these could be a reference for understanding the failure mechanism of the gateroad with 1 km burial depth. 展开更多
关键词 deep coal mine soft rock burial depth failure mechanism deformation behavior support strategy
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条件区间分位数超高维特征筛选研究
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作者 来鹏 张洁 季静雯 《郑州大学学报(理学版)》 CAS 北大核心 2019年第1期39-43,共5页
超高维数据下的特征筛选是模型降维建模的重要环节.基于条件分位数的改进超高维特征筛选方法在给定分位点有扰动情况下可能会导致筛选变量不稳定,针对该问题,引入全局条件分位数的思想,提出基于条件区间分位数的超高维特征筛选方法,并... 超高维数据下的特征筛选是模型降维建模的重要环节.基于条件分位数的改进超高维特征筛选方法在给定分位点有扰动情况下可能会导致筛选变量不稳定,针对该问题,引入全局条件分位数的思想,提出基于条件区间分位数的超高维特征筛选方法,并通过理论及数值模拟证明其特征筛选的确定性独立筛选性质和所提方法的有限样本性质. 展开更多
关键词 超高维 特征筛选 区间分位数 定性筛选性质
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基于似然比统计量的超高维特征筛选研究 被引量:1
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作者 来鹏 孙鑫 +1 位作者 高羽飞 赵英序 《统计与决策》 CSSCI 北大核心 2018年第22期16-19,共4页
特征筛选是超高维数据处理过程中非常重要的一环,筛选降维的准确性直接影响到后续的数据建模分析。文章针对卡方统计特征筛选方法(PC-SIS)的不足之处,对其进行改进,提出适用于超高维无模型假设下判别分类数据的似然比统计特征筛选方法... 特征筛选是超高维数据处理过程中非常重要的一环,筛选降维的准确性直接影响到后续的数据建模分析。文章针对卡方统计特征筛选方法(PC-SIS)的不足之处,对其进行改进,提出适用于超高维无模型假设下判别分类数据的似然比统计特征筛选方法(LR-SIS),从理论上证明了LR-SIS方法具有确定性筛选性质,并通过蒙特卡洛数值模拟和亚马逊网站电影评论文本数据验证了LR-SIS方法的有限样本性质。 展开更多
关键词 超高维 特征筛选 似然比检验 定性筛选性质
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Three-dimensional stability analysis of anisotropic and non-homogeneous slopes using limit analysis 被引量:9
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作者 韩长玉 陈锦剑 +1 位作者 夏小和 王建华 《Journal of Central South University》 SCIE EI CAS 2014年第3期1142-1147,共6页
A method of three-dimensional loaded slope stability for anisotropic and nonhomogeneous slopes was presented based on the upper-bound theorem of the limit analysis approach. The approach can be considered as a modific... A method of three-dimensional loaded slope stability for anisotropic and nonhomogeneous slopes was presented based on the upper-bound theorem of the limit analysis approach. The approach can be considered as a modification and extension of the solutions. The influences of friction angle, anisotropy factor, nonhomogeneous factor, slope angle, ratio of width to depth, and load on the slope crest were investigated. The results show that solutions are suitable to deal with the purely cohesive soils and frictional/cohesive soils, isotropic and anisotropic, homogeneous and nonhomogeneous, loaded and unloaded cases. 展开更多
关键词 stability ANISOTROPY limit analysis loaded slope nonhomogeneous slope
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Structural characteristics and properties of PU-modified TDE-85/MeTHPA epoxy resin 被引量:1
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作者 李芝华 柯于鹏 +1 位作者 任冬燕 郑子樵 《Journal of Central South University of Technology》 EI 2007年第6期753-758,共6页
Diglycidy1-4,5-epoxycyclohexane-1,2-dicarboxylate (TDE-85)/methyl tetrahydro-phthalic anhydride (MeTHPA) epoxy resin was modified by polyurethane(PU), and its structural characteristics and properties were studi... Diglycidy1-4,5-epoxycyclohexane-1,2-dicarboxylate (TDE-85)/methyl tetrahydro-phthalic anhydride (MeTHPA) epoxy resin was modified by polyurethane(PU), and its structural characteristics and properties were studied by infrared spectrum analysis (IR), scanning electronic microscopy (SEM), mechanics testing and thermogravimetric analysis (TG). The results indicate that epoxy polymeric network Ⅰ and polyurethane polymeric network Ⅱ are formed in the PU-modified TDE-85/MeTHPA epoxy resin. Meanwhile the PU-modified TDE-85/MeTHPA resins have heterogeneous structure. The miscibility between epoxy (EP) and polyurethane (PU) as well as the phase size are dominantly determined by the mass fraction of polyurethane prepolymer (PUP) in the EP/PU blends. With the increase of PUP mass fraction, the tensile strength, impact strength and thermal stability of the PU-modified TDE-85/MeTHPA epoxy resin all firstly exhibit increasing tendency, and decrease after successively reaching their maxima. When the number-average molecular mass of PPG is 1 000 and the mass fraction of PUP is 15%, the tensile strength, impact strength and thermal stability of materials obtained, compared with TDE-85/MeTHPA epoxy resin, are improved obviously. 展开更多
关键词 TDE-85 POLYURETHANE interpenetrating polymeric network mechanical property thermal stability
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Structure and stability of Li-Mn-Ni composite oxides as lithium ion sieve precursors in acidic medium
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作者 马立文 陈白珍 +2 位作者 石西昌 张文 杨喜云 《Journal of Central South University》 SCIE EI CAS 2011年第2期314-318,共5页
A series of spinel Li-Mn-Ni composite oxides with theoretical chemical formula of LiNixMn2-xO4 (0〈_x〈_1.0) were synthesized by liquid phase method. Their structure and morphology were characterized by X-ray diffra... A series of spinel Li-Mn-Ni composite oxides with theoretical chemical formula of LiNixMn2-xO4 (0〈_x〈_1.0) were synthesized by liquid phase method. Their structure and morphology were characterized by X-ray diffractometry (XRD) and scanning electron microscopy (SEM), respectively. The stability of these Ni-substituted spinel oxides prepared at different temperatures was investigated in acidic medium as well. The results show that Ni can be brought into the spinel framework completely to form well-crystallized product when x〈_0.5 and the optimized synthesis temperature is 800℃. LiNi0.4Mn1.6O4 prepared at 800℃ can maintain the spinel structure and morphology with Li extraction ratio of 30.37%, Mn extraction ratio of 8.78% and Ni extraction ratio of 1,82% during acid treatment. The incorporated Ni not only inhibits the dissolution of Mn, but also reduces the extraction of Li due to the lattice contraction 展开更多
关键词 lithium ion sieve Li-Mn-Ni composite oxide structure STABILITY
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Effects of porosity heterogeneity on chemical dissolution-front instability in fluid-saturated rocks 被引量:4
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作者 ZHAO Chong-bin Peter SCHAUBS Bruce HOBBS 《Journal of Central South University》 SCIE EI CAS CSCD 2017年第3期720-725,共6页
Homogeneity and heterogeneity are two totally different concepts in nature.At the particle length scale,rocks exhibit strong heterogeneity in their constituents and porosities.When the heterogeneity of porosity obeys ... Homogeneity and heterogeneity are two totally different concepts in nature.At the particle length scale,rocks exhibit strong heterogeneity in their constituents and porosities.When the heterogeneity of porosity obeys the random uniform distribution,both the mean value and the variance of porosities in the heterogeneous porosity field can be used to reflect the overall heterogeneous characteristics of the porosity field.The main purpose of this work is to investigate the effects of porosity heterogeneity on chemical dissolution front instability in fluid-saturated rocks by the computational simulation method.The related computational simulation results have demonstrated that:1) since the propagation speed of a chemical dissolution front is inversely proportional to the difference between the final porosity and the mean value of porosities in the initial porosity field,an increase in the extent of the porosity heterogeneity can cause an increase in the mean value of porosities in the initial porosity field and an increase in the propagation speed of the chemical dissolution front.2) An increase in the variance of porosities in the initial porosity field can cause an increase in the instability probability of the chemical dissolution front in the fluid-saturated rock.3) The greater the mean value of porosities in the initial porosity field,the quicker the irregular morphology of the chemical dissolution front changes in the supercritical chemical dissolution systems.This means that the irregular morphology of a chemical dissolution front grows quicker in a porosity field of heterogeneity than it does in that of homogeneity when the chemical dissolution system is at a supercritical stage. 展开更多
关键词 porosity heterogeneity chemical dissolution front instability computational simulation porous rocks
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Structural, thermodynamics and elastic properties of Mg_(17)Al_(12), Al_2Y and Al_4Ba phases by first-principles calculations
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作者 黄志伟 赵宇辉 +3 位作者 侯华 赵宇宏 牛晓峰 韩培德 《Journal of Central South University》 SCIE EI CAS 2012年第6期1475-1481,共7页
Structural stabilities, thermodynamics stabilities, elastic properties and electronic structures of Mgl7Al12, Al2Y and AlaBa phases were analyzed by first-principles calculations with Castep and Drool3 program based o... Structural stabilities, thermodynamics stabilities, elastic properties and electronic structures of Mgl7Al12, Al2Y and AlaBa phases were analyzed by first-principles calculations with Castep and Drool3 program based on the density functional theory. The calculated results of heat of formation indicate that AI2Y phase has the strongest alloying ability. The calculated thermodynamic properties show that the thermal stability of these compounds gradually increases in the order ofMgl7Al12, A12Y and Al4Ba phases. Y or Ba addition to the Mg-Al alloys could improve the heat resistance. The calculated bulk modulus B, shear modulus G, elastic modulus E and Poisson ratio v show that the adding Y or Ba to Mg-Al alloys could promote the brittleness and stiffness, and reduce tenacity and plasticity by forming Al4Ba and Al2Y phases. The calculated cohesive energy and density of state (DOS) show that Al2Y has the strongest structural stability, then AlaBa and finally Mg17Al12. The calculated electronic structures show that Al2Y has the strongest structure stability because of the strong ionic bonds and covalent bonds combined action. 展开更多
关键词 Mg-Al alloys thermodynamics properties elastic properties electronic structure FIRST-PRINCIPLES
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Stability and reinforcement analysis of rock slope based on elasto-plastic finite element method 被引量:3
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作者 刘耀儒 武哲书 +2 位作者 常强 李波 杨强 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第7期2739-2751,共13页
The rigid body limit equilibrium method(RBLEM) and finite element method(FEM) are two widely used approaches for rock slope's stability analysis currently. RBLEM introduced plethoric assumptions; while traditional... The rigid body limit equilibrium method(RBLEM) and finite element method(FEM) are two widely used approaches for rock slope's stability analysis currently. RBLEM introduced plethoric assumptions; while traditional FEM relied on artificial factors when determining factor of safety(FOS) and sliding surfaces. Based on the definition of structure instability that an elasto-plastic structure is not stable if it is unable to satisfy simultaneously equilibrium condition, kinematical admissibility and constitutive equations under given external loads, deformation reinforcement theory(DRT) is developed. With this theory, plastic complementary energy(PCE) can be used to evaluate the overall stability of rock slope, and the unbalanced force beyond the yield surface could be the identification of local failure. Compared with traditional slope stability analysis approaches, the PCE norm curve to strength reduced factor is introduced and the unbalanced force is applied to the determination of key sliding surfaces and required reinforcement. Typical and important issues in rock slope stability are tested in TFINE(a three-dimensional nonlinear finite element program), which is further applied to several representatives of high rock slope's stability evaluation and reinforcement engineering practice in southwest of China. 展开更多
关键词 stability analysis rock slope plastic complementary energy(PCE) unbalanced forces elasto-plasticity FEM
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