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Reduction and New Explicit Solutions of （2＋1）-Dimensional Breaking Soliton Equation

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Communications in Theoretical Physics 2006年第1期45卷 33-35页

Abstract By applying the Lie group method, the （2＋l）-dimensional soliton equation is reduced to some （1＋1）-dimensional nonlinear equations. Based upon some new explicit solutions of the （2＋1）-dimensional brea... 详细信息

关键词： breaking soliton equation Lie group method symmetry explicit solution

New Exact Solutions to Dispersive Long-Wave Equations in （2＋1）-Dimensional Space

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Communications in Theoretical Physics 2006年第2期45卷 207-210页

New exact solutions expressed by the Jacobi elliptic functions are obtained to the （2＋1）-dimensional dispersive long-wave equations by using the modified F-expansion method. In the limit case, new solitary wave sol... 详细信息

关键词： dispersive long-wave equations modified F-expansion method exact solutions Jacobi elliptic functions

Symmetry Groups and New Exact Solutions of(2+1)-Dimensional Dispersive Long-Wave Equations

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Communications in Theoretical Physics 2009年第5期51卷 781-784页

作者： tian ying-hui CHEN Han-Lin LIU Xi-Qiang School of Mathematics and Physics Southwest University of Science and Technology Mianyang 621010 China School of Mathematical Sciences Liaocheng University Liaocheng 252059 China

Using the modified CK＇s direct method, we derive a symmetry group theorem of （2＋1）-dimensional dispersive long-wave equations. Based upon the theorem, Lie point symmetry groups and new exact solutions of （2＋1）-... 详细信息

关键词： (2+1)-dimensional dispersive long-wave equations exact solution modified CK's direct method,symmetry groups

Failure Envelopes of Single-Plate Rigid Helical Anchors for Floating Offshore Wind Turbine

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China Ocean Engineering 2023年第6期37卷 1000-1010页

作者： CHEN Hong-zhen WANG Le tian ying-hui ZHANG Chun-hui SHEN Zhi-chao LIU Meng-meng State Key Laboratory of Hydraulic Engineering Intelligent Construction and Operation Tianjin UniversityTianjin 300072China State Key Laboratory of Coastal and Offshore Engineering Dalian University of TechnologyDalian 116024China Department of Infrastructure Engineering Faculty of Engineering and Information Technology The University of MelbourneVictoria 3010Australia School of Civil Engineering Hebei University of Science and TechnologyShijiazhuang 050018China Hebei Technological Innovation Center of Disaster Prevention and Mitigation Engineering of Geotechnical and Structural System Shijiazhuang 050018China School of Marine Science and Engineering South China University of TechnologyGuangzhou 511442China Institute of Ocean Energy and Intelligent Construction Tianjin University of TechnologyTianjin 300384China

Helical anchor is a kind of novel foundation for floating offshore wind turbines,which should be subjected to combined tensile loading caused by wind,wave and ***,the research about the capacity of helical anchor was mainly examined under uniaxial loading and scarcely explored under combined *** this study,three-dimensional finite element limit analysis is adopted to assess the bearing capacities of single-plate rigid helical anchors with different ratios of helix to shaft diameter,D_(H)/D_(S) and embedment ratios L/D_(S).Result shows that the vertical,horizontal and moment bearing capacities increase with increasing D_(H)/D_(S) and L/D_(S).The normalized V-H failure envelopes expands with increasing L/D_(S),while the normalized V-M failure envelopes tend to contract with the increase of D_(H)/D_(S).With increasing D_(H)/D_(S) or decreasing L/D_(S),the normalized H-M failure envelopes expand when the horizontal and moment loading act in the same direction and contract when they act in the opposite *** effect of D_(H)/D_(S) and L/D_(S) on the shape of H-M failure envelope become insignificant when L/D_(S)≥4.A series of failure mechanisms under different loading conditions were observed and can be used to explain the ***,a series of approximate expressions were proposed to fit the uniaxial bearing capacities and the failure envelopes.

关键词： helical anchors bearing capacity failure envelope clay

Non-Lie Symmetry Group and New Exact Solutions for the Two-Dimensional KdV-Burgers Equation

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Chinese Physics Letters 2011年第2期28卷 16-19页

作者： WANG Hong tian ying-hui CHEN Han-Lin School of Mathematics and Physics Southwest University of Science and TechnologyMianyang 621010

By using the modified Clarkson–Kruskal(CK)direct method,we obtain the non-Lie symmetry group of the two-dimensional KdV-Burgers *** some constraint conditions,Lie point symmetry is also *** the symmetry group,some ne... 详细信息

关键词： equation symmetry Burgers

Numerical Investigations on Hydrodynamic Performance of An Open Comb-Type Breakwater Under Medium Water Levels

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China Ocean Engineering 2021年第6期35卷 866-877页

作者： FANG Zhuo CHENG Liang ZANG Zhi-peng SHEN Chen tian ying-hui CHENG Ning Transport planning and Research Institute Ministry of TransportBeijing 100028China Laboratory for Traffic and Transport Planning Digitalization Beijing 100028China State Key Laboratory of Coastal and Offshore Engineering Dalian University of TechnologyDalian 116023China State Key Laboratory of Hydraulic Engineering Simulation and Safety Tianjin UniversityTianjin 300072China Melbourne School of Engineering The University of MelbourneParkvilleVIC 3010Australia China Harbor Engineering Company Limited Beijing 100027China

The comb-type breakwater(CTB)has been proposed and investigated in recent years due to its advantages in terms of deep-water adaptability,material saving and water *** existing empirical formulae for CTBs have been so far restricted to the water level above the bottom of the superstructure,which mainly occurs under the high tides or storm ***,based on recent engineering applications and experimental observations,the most severe conditions for CTBs are more likely to occur under a medium water level,because impulsive wave pressure may occur due to interactions between waves and the special chamber in ***,during the most of construction and operation periods,the CTBs are mainly working under the medium water levels,i.e.,water levels below the bottom of the *** this study,the effects of main influence parameters on the horizontal wave force coefficient and wave transmission coefficient for open CTBs(with partially immersed side plates)under medium water levels were investigated based on a 3D numerical wave flume and corresponding empirical formulae were *** is indicated that the location of the side plate related to the main caisson has significant influence on the hydrodynamic performance of *** engineering applications,the location of the side plate can be designed at b/L≤0.15 or b/L≥0.3(where b is the distance between the side plate and the front face of the main caisson and L is the incident wave length)for efficiently lowering the horizontal wave force and wave *** flow mechanism of impulsive wave force on CTBs was revealed based on synchronous analyses of flow fields and pressure *** appropriate design of the height of the superstructure according to H/hD≤1.0 or H/hD≥1.5(where H is the incident wave height and hD is the distance between the still water level and the bottom of the superstructure),the likely impulsive wave pressure on the side plate can also be diminished.

关键词： numerical wave flume open comb-type breakwater horizontal wave force coefficient transmission coefficient medium water level

Pile Running in Layered Soils

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China Ocean Engineering 2023年第5期37卷 829-841页

作者： ZHAO Huan WANG Le SUN Li-qiang tian ying-hui Oliver REUL CHEN Quan-zhen State Key Laboratory of Hydraulic Engineering Intelligent Construction and Operation Tianjin UniversityTianjin 300072China Department of Infrastructure Engineering The University of MelbourneParkvilleVictoria 3010Australia Department of Geotechnical Engineering University of KasselKassel 34109Germany

This paper presents a case study on incidents of offshore pile running in layered *** study provides a detailed description of the seabed soil data,pile driving records,and field surveillance video ***-dimensional large deformation finite element(LDFE)analyses were conducted to retrospectively analyze the incidents,considering the remoulding of seabed soil and degradation of the pile-soil interface in the LDFE *** comparing the field observations with the LDFE analysis,the mechanism of pile running was discussed,with a focus on investigating the pile penetration resistance in each *** study revealed that pile running in layered soils primarily resulted from a significant reduction in pile base resistance when transitioning from a strong layer to an adjacent weak *** further investigate the pile running mechanism in layered soils,a parametric study on the strength variation of adjacent soil layers and its influence on pile base resistance was ***,a simplified prediction model of pile base resistance,suitable for assessing the risk of pile running in layered soils,was proposed.

关键词： pile running coupled Eulerian−Lagrangian method layered soil penetration resistance pile−soil interaction

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一类半正定二阶周期边值问题的正解

内蒙古师范大学学报（自然科学汉文版） 2015年第3期44卷 307-310页

作者：田颖辉辽宁省阜新高等专科学校师范部辽宁阜新123000

研究半正定条件下奇异超线性二阶周期边值问题,利用锥不动点定理给出一类奇异半正定二阶周期边值问题正解的存在性.

关键词：半正定周期边值问题正解锥不动点定理

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非饱和压实土率敏性及蠕变时效特征试验研究

岩土力学 2022年第7期43卷 1816-1824,1844页

作者：王智超罗磊田英辉张春会湘潭大学岩土力学与工程安全湖南省重点实验室湖南湘潭411105 湘潭大学土木工程学院湖南湘潭411105 墨尔本大学基础设施工程系澳大利亚维多利亚河北科技大学建筑工程学院河北石家庄050018

为研究部分饱和状态下高填方回填土工后长期变形,对非饱和压实土在可控基质吸力下分别开展率敏性和蠕变试验,并分析两者间时效对应关系。率敏性试验采取不同加载速率的三轴剪切,分析基质吸力(0、100、200、300 kPa)、加载速率(0.40、0.0... 详细信息

为研究部分饱和状态下高填方回填土工后长期变形,对非饱和压实土在可控基质吸力下分别开展率敏性和蠕变试验,并分析两者间时效对应关系。率敏性试验采取不同加载速率的三轴剪切,分析基质吸力(0、100、200、300 kPa)、加载速率(0.40、0.02mm/min)以及超固结比(1、4和8)对土体强度和变形特征的影响,并确定三轴剪切蠕变的三级加载应力水平为抗剪强度的0.45、0.65、0.85倍;在4种可控基质吸力(0、100、200、300 kPa)下参考陈氏加载法,按三应力水平分级加载开展非饱和压实土三轴剪切蠕变试验。试验结果表明:随着基质吸力的增加,其率敏性参数ρ减小,其率敏性降低;随着基质吸力逐渐增大,其蠕变初始最大速率、稳定蠕变速率以及蠕变变形量均显著减小;蠕变试验确定的应变速率-应变关系线与率敏性试验获得的应变速率-应变数据点基本吻合,证明两者间存在一定时效对应关系,且随着基质吸力的增大,这种时效对应关系更显著。

关键词：非饱和土土-水特征基质吸力超固结率敏性蠕变时效对应关系