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Characterization for elastic constants of fused deposition modelling-fabricated materials based on the virtual fields method and digital image correlation 被引量:3
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作者 Quankun Cao Huimin Xie 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2017年第6期1075-1083,共9页
Fused deposition modelling(FDM), a widely used rapid prototyping process, is a promising technique in manufacturing engineering. In this work, a method for characterizing elastic constants of FDM-fabricated materials ... Fused deposition modelling(FDM), a widely used rapid prototyping process, is a promising technique in manufacturing engineering. In this work, a method for characterizing elastic constants of FDM-fabricated materials is proposed. First of all, according to the manufacturing process of FDM, orthotropic constitutive model is used to describe the mechanical behavior. Then the virtual fields method(VFM) is applied to characterize all the mechanical parameters(Q, Q, Q, Q) using the full-field strain,which is measured by digital image correlation(DIC). Since the principal axis of the FDM-fabricated structure is sometimes unknown due to the complexity of the manufacturing process, a disk in diametrical compression is used as the load configuration so that the loading angle can be changed conveniently. To verify the feasibility of the proposed method, finite element method(FEM) simulation is conducted to obtain the strain field of the disk. The simulation results show that higher accuracy can be achieved when the loading angle is close to 30?. Finally, a disk fabricated by FDM was used for the experiment. By rotating the disk, several tests with different loading angles were conducted. To determine the position of the principal axis in each test, two groups of parameters(Q, Q, Q, Q) are calculated by two different groups of virtual fields. Then the corresponding loading angle can be determined by minimizing the deviation between two groups of the parameters. After that, the four constants(Q, Q, Q, Q) were determined from the test with an angle of 27?. 展开更多
关键词 Fused deposition modelling virtual fields method Digital image correlation Orthotropic constitutive model Disk compression
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A novel virtual node method for polygonal elements 被引量:1
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作者 唐旭海 吴圣川 +1 位作者 郑超 张建海 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2009年第10期1233-1246,共14页
A novel polygonal finite element method (PFEM) based on partition of unity is proposed, termed the virtual node method (VNM). To test the performance of the present method, numerical examples are given for solid m... A novel polygonal finite element method (PFEM) based on partition of unity is proposed, termed the virtual node method (VNM). To test the performance of the present method, numerical examples are given for solid mechanics problems. With a polynomial form, the VNM achieves better results than those of traditional PFEMs, including the Wachspress method and the mean value method in standard patch tests. Compared with the standard triangular FEM, the VNM can achieve better accuracy. With the ability to construct shape functions on polygonal elements, the VNM provides greater flexibility in mesh generation. Therefore, several fracture problems are studied to demonstrate the potential implementation. With the advantage of the VNM, the convenient refinement and remeshing strategy are applied. 展开更多
关键词 virtual node method polygonal finite element method partition of unity crack propagation
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Innovation Practices of Virtual Simulation Teaching Method in Landscape Architecture Majors 被引量:1
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作者 CAI Luxiang 《Journal of Landscape Research》 2014年第4期44-46,共3页
Based on foreign and domestic literature about teaching theories and simulation application,advantages and disadvantages of simulation teaching and other teaching methods were compared,organization forms and efficienc... Based on foreign and domestic literature about teaching theories and simulation application,advantages and disadvantages of simulation teaching and other teaching methods were compared,organization forms and efficiency of simulation teaching in network environment discussed,students' learning patterns and styles summarized,and the theoretical research foundation for the simulation teaching and students' learning system in network environment established.Common problems of simulation teaching and corresponding students' learning styles were discussed,application and supervision system of simulation teaching established,students' learning styles innovated.Views and innovations of virtual simulation teaching in simulation teaching of landscape architecture were given,and the research framework sorted out as reference. 展开更多
关键词 virtual simulation Teaching method Innovation practice
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A VIRTUAL MESH METHOD FOR THE OPTIMIZED DESIGN OF COMPLEX STRUCTURES
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作者 Du Taisheng Huang Rongjie Song Tianxia Chen Chuanyao (College of Civil Engineering and Mechanics,Huazhong University of Science and Technology,Wuhan 430074,China) 《Acta Mechanica Solida Sinica》 SCIE EI 2003年第3期220-230,共11页
Concepts for a virtual 3D space and a hyper-sphere are proposed and the formulae for determining the computable nodes of the mesh are derived.Then a new optimization design method('Virtual Mesh Method'or V.M.M... Concepts for a virtual 3D space and a hyper-sphere are proposed and the formulae for determining the computable nodes of the mesh are derived.Then a new optimization design method('Virtual Mesh Method'or V.M.M)is developed.Three examples are given,showing that the method proposed is especially suitable for the optimized design of complex structures,and that the global approximate optimal solution can be searched with remarkably reduced computational work. 展开更多
关键词 virtual 3D space computable nodes n-D hyper-sphere optimization design virtual mesh method
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VIRTUAL-RAY METHOD AND ITS APPLICATION IN THE PLANE WAVE SCATTERING BY AN IMPEDANCE WEDGE
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作者 Zhang Mengyang Feng Kongyu(institute of Electronics, Chinese Academy of Sciences, Beijing 100080) 《Journal of Electronics(China)》 1997年第1期82-89,共8页
The virtual-ray method for treating HF electromagnetic scattering problems is derived from the plane wave of free space, and using this the plane wave scattering by an impedance wedge is studied. In the solution proce... The virtual-ray method for treating HF electromagnetic scattering problems is derived from the plane wave of free space, and using this the plane wave scattering by an impedance wedge is studied. In the solution process a novel concept of generalized circle is introduced so that the complete amplitude function is obtained. And a reasonable physical interpretation for the term W2, which was neglected previously, is given. The calculated results agree well with those of the analytical solution obtained by G.D. Maliuzhinets(1958). 展开更多
关键词 virtual-ray method EM scattering by AN IMPEDANCE WEDGE Generalized circle
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WAVE SUPERPOSITION METHOD BASED ON VIRTUAL SOURCE BOUNDARY WITH COMPLEX RADIUS VECTOR FOR SOLVING ACOUSTIC RADIATION PROBLEMS 被引量:2
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作者 XiangYu HuangYuying MaXiaoqiang 《Acta Mechanica Solida Sinica》 SCIE EI 2004年第1期12-19,共8页
By virtue of the comparability between the wave superposition method and the dynamic analysis of structures, a general format for overcoming the non-uniqueness of solution induced by the wave superposition method at t... By virtue of the comparability between the wave superposition method and the dynamic analysis of structures, a general format for overcoming the non-uniqueness of solution induced by the wave superposition method at the eigenfrequencies of the corresponding interior problems is proposed. By adding appropriate damp to the virtual source system of the wave superposition method, the unique solutions for all wave numbers can be ensured. Based on this thought, a novel method-wave superposition method with complex radius vector is constructed. Not only is the computational time of this method approximately equal to that of the standard wave superposition method, but also the accuracy is much higher compared with other correlative methods. Finally, by taking the pulsating sphere and oscillating sphere as examples, the results of calculation show that the present method can effectively overcome the non-uniqueness problem. 展开更多
关键词 virtual boundary integral equation wave superposition method wave superposition method with complex radius vector acoustic radiation virtual damp
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Consistency and Validity of the Mathematical Models and the Solution Methods for BVPs and IVPs Based on Energy Methods and Principle of Virtual Work for Homogeneous Isotropic and Non-Homogeneous Non-Isotropic Solid Continua 被引量:1
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作者 Karan S. Surana Emilio N. Alverio 《Applied Mathematics》 2020年第7期546-578,共33页
Energy methods and the principle of virtual work are commonly used for obtaining solutions of boundary value problems (BVPs) and initial value problems (IVPs) associated with homogeneous, isotropic and non-homogeneous... Energy methods and the principle of virtual work are commonly used for obtaining solutions of boundary value problems (BVPs) and initial value problems (IVPs) associated with homogeneous, isotropic and non-homogeneous, non-isotropic matter without using (or in the absence of) the mathematical models of the BVPs and the IVPs. These methods are also used for deriving mathematical models for BVPs and IVPs associated with isotropic, homogeneous as well as non-homogeneous, non-isotropic continuous matter. In energy methods when applied to IVPs, one constructs energy functional (<i>I</i>) consisting of kinetic energy, strain energy and the potential energy of loads. The first variation of this energy functional (<em>δI</em>) set to zero is a necessary condition for an extremum of <i>I</i>. In this approach one could use <i>δI</i> = 0 directly in constructing computational processes such as the finite element method or could derive Euler’s equations (differential or partial differential equations) from <i>δI</i> = 0, which is also satisfied by a solution obtained from <i>δI</i> = 0. The Euler’s equations obtained from <i>δI</i> = 0 indeed are the mathematical model associated with the energy functional <i>I</i>. In case of BVPs we follow the same approach except in this case, the energy functional <i>I</i> consists of strain energy and the potential energy of loads. In using the principle of virtual work for BVPs and the IVPs, we can also accomplish the same as described above using energy methods. In this paper we investigate consistency and validity of the mathematical models for isotropic, homogeneous and non-isotropic, non-homogeneous continuous matter for BVPs that are derived using energy functional consisting of strain energy and the potential energy of loads. Similar investigation is also presented for IVPs using energy functional consisting of kinetic energy, strain energy and the potential energy of loads. The computational approaches for BVPs and the IVPs designed using energy functional and principle of virtual work, their consistency and validity are also investigated. Classical continuum mechanics (CCM) principles <i>i.e.</i> conservation and balance laws of CCM with consistent constitutive theories and the elements of calculus of variations are employed in the investigations presented in this paper. 展开更多
关键词 Energy methods Principle of virtual Work Calculus of Variations Euler’s Equation Mathematical Model Classical and Non-Classical Continuum Mechanics
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THE VIRTUAL WORK PRINCIPLE AND LINEAR COMPLEMEN-TARY METHOD FOR COUPLING ANALYSIS OF ELASTO-PLASTIC DAMAGE STRUCTURE
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作者 马景槐 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2000年第2期185-192,共8页
The virtual displacement principle of elasto-plastic damage mechanics is presented. A linear complementary method for elasto-plastic damage problem is proposed by using FEM technique. This method is applicable to solv... The virtual displacement principle of elasto-plastic damage mechanics is presented. A linear complementary method for elasto-plastic damage problem is proposed by using FEM technique. This method is applicable to solving the damage structure analysis of hardened and softened nonlinear material. 展开更多
关键词 elasto-plastic damage mechanics virtual work principle FEM technique linear complementary method
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虚拟震源地震探测方法及其应用
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作者 张明辉 徐涛 +3 位作者 田小波 唐国彬 刘震 白志明 《地球与行星物理论评(中英文)》 2025年第2期215-224,共10页
SsPmp震相是远震直达S波在地表激发的下行P波在Moho面反射的震相,具有信号能量大、信噪比高、不易受近地表沉积层和地壳小尺度结构扰动的影响等优势.虚拟地震测深方法(VDSS)是近年来发展的利用SsPmp震相与直达Ss波震相的到时差来研究地... SsPmp震相是远震直达S波在地表激发的下行P波在Moho面反射的震相,具有信号能量大、信噪比高、不易受近地表沉积层和地壳小尺度结构扰动的影响等优势.虚拟地震测深方法(VDSS)是近年来发展的利用SsPmp震相与直达Ss波震相的到时差来研究地壳厚度(或Moho面深度)的探测方法.本文介绍了VDSS方法的原理、优势及其在实际应用中的表现.研究表明,VDSS方法在提高探测精度、降低成本、环境影响等方面具有显著优势,且成功应用于克拉通、造山带和沉积盆地、峨眉山大火成岩省等不同地质环境中,在探测地壳结构中展现出巨大潜力和应用价值.但是VDSS方法的准确度高度依赖于地震数据的质量,尤其是远震S波的清晰度和震中距的范围,使得该方法在复杂地质结构区域的应用受到较大限制.未来,VDSS与传统接收函数方法、地震层析成像、重力测量等多类地球物理方法的结合,有望为地壳结构探测提供更全面的约束. 展开更多
关键词 虚拟地震测深方法 SsPmp震相 地壳结构探测
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基于Virtual.Lab的某型减速器建模及仿真 被引量:1
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作者 邓辉咏 刘海平 徐元村 《军械工程学院学报》 2007年第1期51-54,共4页
为了预测某型自行火炮减速器的寿命,基于Pro/E实体模型,用Virtual.Lab建立了其虚拟样机模型,提出并简述了动态关联的模型校核验证方法,并利用动态关联法,对所建立的虚拟样机模型进行了验证,确认所建立的减速器虚拟样机符合实际... 为了预测某型自行火炮减速器的寿命,基于Pro/E实体模型,用Virtual.Lab建立了其虚拟样机模型,提出并简述了动态关联的模型校核验证方法,并利用动态关联法,对所建立的虚拟样机模型进行了验证,确认所建立的减速器虚拟样机符合实际情况,同时该虚拟样机模型通过加载得到了二档速度B级路面下太阳齿轮受到的扭矩,为下一步齿轮的校核打下了基础。 展开更多
关键词 仿真 减速器 动态关联法 virtual.LAB
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基于LMS Virtual. Lab的起落架动态性能仿真分析 被引量:12
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作者 崔飞 马东立 《计算机辅助工程》 2012年第2期25-29,共5页
针对飞机起落架设计和性能分析过程中,传统方法计算过程复杂、计算精度不高、研制周期长,且采用实验研究成本高、局限性大的问题,利用CATIA和LMS Virtual. Lab对某支柱式起落架进行收放运动学和动力学以及落震仿真分析.运用机构运动学... 针对飞机起落架设计和性能分析过程中,传统方法计算过程复杂、计算精度不高、研制周期长,且采用实验研究成本高、局限性大的问题,利用CATIA和LMS Virtual. Lab对某支柱式起落架进行收放运动学和动力学以及落震仿真分析.运用机构运动学正解方法进行主起落架收放运动学仿真分析;在运动学仿真模型中添加质量力、气动阻力、惯性力和摩擦力等参数进行动力学仿真;在不改变起落架机构原理的前提下简化主起落架结构并进行落震仿真分析.落震仿真结果与理论计算结果误差在5%以内,说明仿真结果与理论计算结果一致性较好.利用CATIA和LMS Virtual. Lab可以实现起落架设计与分析一体化,且实现过程简单、可视化强、准确度高. 展开更多
关键词 支柱式起落架 虚拟样机 运动学 正解方法 动力学 落震 一体化设计 LMS virtual. LAB
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基于LMS Virtual. Lab和AMESim的泥浆泵联合仿真及曲轴结构优化 被引量:1
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作者 刘承杰 赵磊 +1 位作者 罗鹏 陈易 《塑性工程学报》 CAS CSCD 北大核心 2017年第5期212-218,共7页
由于泥浆泵曲轴受到复杂的交变应力,导致曲轴曲柄销过渡圆角处因受到过大应力而疲劳失效。采用LMS Virtual.Lab和AMESim分别建立了泥浆泵动力端系统和液力端系统模型,并将2个子模型集成一体化模型,最终实现机械、液力系统的联合仿真对... 由于泥浆泵曲轴受到复杂的交变应力,导致曲轴曲柄销过渡圆角处因受到过大应力而疲劳失效。采用LMS Virtual.Lab和AMESim分别建立了泥浆泵动力端系统和液力端系统模型,并将2个子模型集成一体化模型,最终实现机械、液力系统的联合仿真对泥浆泵曲轴应力进行分析,得到曲轴运行时的应力分布。为了降低曲柄梢过渡圆角处的应力,设计优化阶梯形圆角来代替泥浆泵曲轴曲柄销圆角。再基于响应面法建立以曲柄梢圆角应力最小为优化目标的模型,通过优化前后的应力对比可得:当设计因子为R_1=4 mm,R_2=3.2 mm,H=122 mm时,优化后的应力较优化前降低了20.29%,优化模型可为泥浆泵曲轴的设计提供参考。 展开更多
关键词 泥浆泵 曲轴 AMESIM LMS virtual.LAB 联合仿真 阶梯形圆角 响应面法
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Shape optimization of plate with static and dynamic constraints via virtual laminated element 被引量:1
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作者 李芳 徐兴 凌道盛 《Journal of Zhejiang University Science》 EI CSCD 2003年第2期202-206,共5页
The virtual laminated element method (VLEM) can resolve structural shap e optimization problems with a new method. According to the characteristics of V LEM , only some characterized layer thickness values need be def... The virtual laminated element method (VLEM) can resolve structural shap e optimization problems with a new method. According to the characteristics of V LEM , only some characterized layer thickness values need be defined as design v ariables instead of boundary node coordinates or some other parameters determini ng the system boundary. One of the important features of this method is that it is not necessary to regenerate the FE(finite element) grid during the optimizati on process so as to avoid optimization failures resulting from some distortion grid elements. Th e thickness distribution in thin plate optimization problems in other studies be fore is of stepped shape. However, in this paper, a continuous thickness distrib ution can be obtained after optimization using VLEM, and is more reasonable. Fur thermore, an approximate reanalysis method named ″behavior model technique″ ca n be used to reduce the amount of structural reanalysis. Some typical examples are offered to prove the effectiveness and practicality of the proposed method. 展开更多
关键词 Optimum design virtual laminated element method(V LEM) Behavior model technique Structural reanalysis
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The Virtual Repeat Sale Model for the House Price Index for New Building in China 被引量:6
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作者 Weihua Jin Shengping Jin 《Applied Mathematics》 2014年第21期3431-3436,共6页
By using the characteristics of the new building in China, this article constructs the virtual repeat sale method to produce virtual repeat data which is similar to the repeat sale model on the house price index. Case... By using the characteristics of the new building in China, this article constructs the virtual repeat sale method to produce virtual repeat data which is similar to the repeat sale model on the house price index. Case-Shiller procedure and OFHEO method are used to calculate the house price index for new building in China. A discussion is given and furthering models are needed to take advantage of the virtual repeat sale data. 展开更多
关键词 HOUSE PRICE INDEX virtual REPEAT SALE method OFHEO INDEX
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Energy-efficient virtual machine consolidation algorithm in cloud data centers 被引量:3
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作者 ZHOU Zhou HU Zhi-gang YU Jun-yang 《Journal of Central South University》 SCIE EI CAS CSCD 2017年第10期2331-2341,共11页
Cloud data centers consume a multitude of power leading to the problem of high energy consumption. In order to solve this problem, an energy-efficient virtual machine(VM) consolidation algorithm named PVDE(prediction-... Cloud data centers consume a multitude of power leading to the problem of high energy consumption. In order to solve this problem, an energy-efficient virtual machine(VM) consolidation algorithm named PVDE(prediction-based VM deployment algorithm for energy efficiency) is presented. The proposed algorithm uses linear weighted method to predict the load of a host and classifies the hosts in the data center, based on the predicted host load, into four classes for the purpose of VMs migration. We also propose four types of VM selection algorithms for the purpose of determining potential VMs to be migrated. We performed extensive performance analysis of the proposed algorithms. Experimental results show that, in contrast to other energy-saving algorithms, the algorithm proposed in this work significantly reduces the energy consumption and maintains low service level agreement(SLA) violations. 展开更多
关键词 cloud computing energy consumption linear weighted method virtual MACHINE CONSOLIDATION virtual MACHINE selection ALGORITHM
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Virtual Element Formulation for Finite Strain Elastodynamics Dedicated to Professor Karl Stark Pister for his 95th birthday
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作者 Mertcan Cihan Blaz Hudobivnik +1 位作者 Fadi Aldakheel Peter Wriggers 《Computer Modeling in Engineering & Sciences》 SCIE EI 2021年第12期1151-1180,共30页
The virtual element method(VEM)can be seen as an extension of the classical finite element method(FEM)based on Galerkin projection.It allows meshes with highly irregular shaped elements,including concave shapes.So far... The virtual element method(VEM)can be seen as an extension of the classical finite element method(FEM)based on Galerkin projection.It allows meshes with highly irregular shaped elements,including concave shapes.So far the virtual element method has been applied to various engineering problems such as elasto-plasticity,multiphysics,damage and fracture mechanics.This work focuses on the extension of the virtual element method to efficient modeling of nonlinear elasto-dynamics undergoing large deformations.Within this framework,we employ low-order ansatz functions in two and three dimensions for elements that can have arbitrary polygonal shape.The formulations considered in this contribution are based on minimization of potential function for both the static and the dynamic behavior.Generally the construction of a virtual element is based on a projection part and a stabilization part.While the stiffness matrix needs a suitable stabilization,the mass matrix can be calculated using only the projection part.For the implicit time integration scheme,Newmark-Method is used.To show the performance of the method,various two-and three-dimensional numerical examples in are presented. 展开更多
关键词 virtual element method three-dimensional dynamics finite strains
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Virtual Element Discretization of Optimal Control Problem Governed by Brinkman Equations
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作者 Yanwei Li 《Engineering(科研)》 CAS 2023年第2期114-133,共20页
In this paper, we discuss virtual element method (VEM) approximation of optimal control problem governed by Brinkman equations with control constraints. Based on the polynomial projections and variational discretizati... In this paper, we discuss virtual element method (VEM) approximation of optimal control problem governed by Brinkman equations with control constraints. Based on the polynomial projections and variational discretization of the control variable, we build up the virtual element discrete scheme of the optimal control problem and derive the discrete first order optimality system. A priori error estimates for the state, adjoint state and control variables in L<sup>2</sup> and H<sup>1</sup> norm are derived. The theoretical findings are illustrated by the numerical experiments. 展开更多
关键词 virtual Element method Optimal Control Problem Brinkman Equations A Priori Error Estimate
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Multiple attacks on virtualization-based security monitoring
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作者 闫广禄 罗森林 +1 位作者 韦伟 潘丽敏 《Journal of Beijing Institute of Technology》 EI CAS 2016年第2期254-263,共10页
Three kinds of vulnerabilities that may exist in some of current virtualization-based security monitoring systems were proposed: page mapping problem,lack of overall protection,and inherent limitations. Aiming at the... Three kinds of vulnerabilities that may exist in some of current virtualization-based security monitoring systems were proposed: page mapping problem,lack of overall protection,and inherent limitations. Aiming at these vulnerabilities,relative attack methods were presented in detail. Our experiments show that the attack methods,such as page mapping attack,data attack,and non-behavior detection attack,can attack simulated or original security monitors successfully. Defenders,who need to effectively strengthen their security monitors,can get an inspiration from these attack methods and find some appropriate solutions. 展开更多
关键词 virtualIZATION VULNERABILITY attack method security threat virtual machine monitor
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VOFilter: Bridging Virtual Observatory and Industrial Office Applications
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作者 Chen-Zhou Cui Markus Dolensky +2 位作者 Peter Quinn Yong-Heng Zhao Francoise Genova 《Chinese Journal of Astronomy and Astrophysics》 CSCD 2006年第3期379-386,共8页
VOFilter is an XML based filter developed by the Chinese Virtual Observatory project to transform tabular data files from VOTable format into OpenDocument format. VOTable is an XML format defined for the exchange of t... VOFilter is an XML based filter developed by the Chinese Virtual Observatory project to transform tabular data files from VOTable format into OpenDocument format. VOTable is an XML format defined for the exchange of tabular data in the context of the Virtual Observatory (VO). It is the first Proposed Recommendation defined by International Virtual Observatory Alliance, and has obtained wide support from both the VO community and many Astronomy projects. OpenOffice.org is a mature, open source, and front office application suite with the advantage of native support of industrial standard OpenDocument XML file format. Using the VOFilter, VOTable files can be loaded in OpenOffice.org Calc, a spreadsheet application, and then displayed and analyzed as other spreadsheet files. Here, the VOFilter acts as a connector, bridging the coming VO with current industrial office applications. We introduce Virtual Observatory and technical background of the VOFilter. Its workflow, installation and usage are presented. Existing problems and limitations are also discussed together with the future development plans. 展开更多
关键词 astronomical data bases: miscellaneous - virtual Observatory - methods:data transform
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医学生理学虚拟仿真项目的设计与实现 被引量:1
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作者 白晓洁 封启龙 +1 位作者 燕子 王瑾 《基础医学教育》 2024年第1期67-69,共3页
生理学是一门重要的医学基础课程。在生理学教学中引入虚拟仿真技术,将部分授课内容情境化、可视化,并实现人机交融和互动,对传统教学模式将是重要的补充和提升。在生理学虚拟仿真项目的设计和开发中,要以教学目标为导向,贴合教学内容,... 生理学是一门重要的医学基础课程。在生理学教学中引入虚拟仿真技术,将部分授课内容情境化、可视化,并实现人机交融和互动,对传统教学模式将是重要的补充和提升。在生理学虚拟仿真项目的设计和开发中,要以教学目标为导向,贴合教学内容,注重思维培养,合理运用先进的多媒体技术,虚实结合,使虚拟仿真项目更好地为教学服务。 展开更多
关键词 生理学 教学改革 虚拟仿真 教学方法 可视化
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