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运用von Neumann稳定性分析方法对采用3次B-样条核函数的一维标准SPH进行了稳 定性分析,在此基础上对扰动波长的影响进行了讨论,并用一维弹性杆的SPH 计算对分析结论进行了数值验证. 理论分析和数值计算表明, von Neumann分析所得的稳定性随扰动波长变化的规律与实际计算结果完全相符, SPH稳定性与扰 动波长密切相关. 对于所分析的SPH方法,在扰动波长最小处稳定性最差,而在其它扰 动波长下,SPH的计算则可以在拉伸状态下稳定.     

Numerical analysis to predict turning characteristics of rigid suspension tracked vehicle

Numerical analysis was developed to calculate the steering properties of a rigid suspension tracked vehicle turning on soft terrain. The developed numerical analysis is based on a method to solve a set of non-linear equations. To verify the numerical analysis, an experiment on a model-tracked vehicle turning with a steering ratio of 1.6 on a loose sandy terrain was carried out. The comparison between measured and calculated values shows that the numerical analysis can predict sinkage, slip ratios and turning radius within an error amount of 15%.     

理想塑性结构极限与安定分析的数值方法

极限分析和安全分析的近代发展方向是寻找通用性强，计算效率高的数值方法。本文介绍将有限单元法和数学规划法相结合的、同时适用于极限分析和安全分析的统一数值方法，包括下限格式和上限格式。     

THEORETICAL STUDY OF THREE-DIMENSIONAL NUMERICAL MANIFOLD METHOD

IntroductionNumerical manifold method is a new numerical method established on the basis of finitecover of manifold[1,2].By using continuous and non-continuous finite cover system,thenumerical manifold method includes the continuous and non-continuous as …     

Mechanical response of thin SMAW arc welded structures: Experimental and numerical investigation

The mechanical response of thin welded plates made of Ck45 steel during shielded metal arc welding (SMAW) is investigated by employing data from numerical results using the finite element method and laboratory experimental measurements. The aim of this paper is to investigate the effect of the thermal uncertainty encountered during the thermal numerical analysis on the out-of-plane angular distortion of the welded panels. For this purpose a comparison between the numerical mechanical response (using the calibrated and as-predicted thermal history) and the experimental results is carried out. The effect of the microstructural transformations on the angular out-of-plane distortion is also investigated by introducing the material transformation within the numerical analysis by the simplest means in order to clearly demonstrate its influence. The same strategy is followed in order to investigate the effect of low-temperature martensitic transformation on the longitudinal residual stress field by properly combining experimental and numerical results and analyzing an idealized welding fabrication. Discussion is, finally, carried out regarding the design process of welded marine structures.     

Numerical analysis of transient two phase flow in heat pipe

This paper presents numerical simulation of the physical phenomena in heat pipe. The vapour dynamics of working fluid is considered in the numerical analysis of the heat pipe. A two-phase analysis is carried out for the heat pipe. The compressible flow equations for vapour-phase interaction with water particle phase are solved by a finite volume technique. A three stage Runge-Kutta time-stepping method is employed to solve vapour dynamics. Damping term is added to stablize the numerical scheme. An example is worked out to study the two phase flow in the heat pipe.     

BIFURCATION ANALYSIS OF A MITOTIC MODEL OF FROG EGGS

ＩｎｔｒｏｄｕｃｔｉｏｎＷｉｔｈｔｈｅｒａｐｉｄｄｅｖｅｌｏｐｍｅｎｔｏｆｂｉｏｌｏｇｙｓｃｉｅｎｃｅｓ,ｃｅｌｌｓｉｇｎａｌｔｒａｎｓｄｕｃｔｉｏｎ ,ｃｅｌｌｅｐｏｐｔｏｓｉｓ,ｇｅｎｏｍｅａｎｄｐｏｓｔ＿ｇｅｎｏｍｉｃａｎａｌｙｓｉｓｈａｖｅａｔｔｒａｃｔｅｄｉｎｃｒｅａｓｉｎｇａｔｔｅｎｔｉｏｎ[1- 6 ].Ｔｈｅｃｅｌｌｄｉｖｉｓｉｏｎｃｙｃｌｅｉｓｔｈｅｓｅｑｕｅｎｃｅｏｆｅｖｅｎｔｓｂｙｗｈｉｃｈａｇｒｏｗｉｎｇｃｅｌｌｄｕｐｌｉｃａｔｅｓａｌｌｉｔｓｃｏｍｐｏｎｅｎｔｓａｎｄｔｈｅｎｄｉｖ…     

高斯牛顿技术求解偶应力反问题

建立了便于敏度分析的偶应力反问题数值求解模型,给出了直接法和伴随法两种敏度计算格式.在反演计算中采用了高斯牛顿技术对未知本构参数进行识别,探讨了测点数目、初值选取和数据噪音对反演结果的影响,数值算例给出了令人满意的结果.     

弯管结构塑性极限分析的数值方法及应用

从塑性极限分析数值计算的角度,分析了多组载荷联合作用下弯管结构的塑性极限承载能力。为了克服塑性极限上限分析中目标函数非线性非光滑所导致的数值困难,提出了一种弯管结构塑性极限上限分析的无搜索优化迭代算法;采用一种改进的弯管单元并利用加载路径的径向射求解方案处理多组载荷系统。通过对典型弯管结构进行塑性极限分析得出了一些有价值的结论。     

材料非线性微-宏观分析的多尺度方法研究

介绍并比较了近年来在材料非线性微-宏观分析多级数值方法方面的研究工作. 针 对考虑材料内摩擦接触的颗粒材料多尺度计算问题，建立一种基于数值技术的多级分析方 法. 方法的特点是在对材料进行微观分析的基础上建立宏观材料的多尺度非线性数值本构模 型. 而对材料弹塑性多级分析问题，建立了基于转换场技术的算法，采用近似技术建立非线 性分析的本征应变矩阵，使方法具有表达简单与实现方便的特点. 给出了数值算例， 通过比较说明了方法的正确性与有效性.     

离心风机子午通道内湍流场数值模拟

由进风口－叶轮－无叶扩压器－蜗壳等部件组成的离心风机通道内流分析是非常复杂的，目前还只能是分别计算各部件内的流场，但必须考虑部件间的相互影响。本文采用轴对称Ｎ－Ｓ方程，根据三维叶轮通道计算给出的叶片力分布，求解了考虑叶片力的进风口－叶轮－无叶扩压器组成的子午通道问题，所得结果可用来给出三维叶轮通道计算的进口条件，并可用于优化设计进风口及叶轮前、后盘形状。该方法已得到实践检验。     

Determination of sensor positions for predictive maintenance of revolving machines

The monitoring by measurement and analysis of vibration is largely used to detect the defects in revolving machines. The determination of the best sensor positions is one of the main research goals in the field of predictive maintenance. This paper proposes a numerical methodology based on a finite element model and a spectral analysis in order to find optimum sensor positions. The bearing is a key component for the vibration propagation from the moving parts to static ones. An analytical bearing model and its numerical implementation in a finite element code are presented. The tangent stiffness matrix of the bearing element is obtained by the Newton–Raphson method and then used for the modal and spectral analyses. Several techniques are used to find the most sensitive zones to common defects. The proposed numerical approach correlate well with the experimental results. The numerical modeling of a grinder shows the interests in industrial applications.     

广义有限差分法在含阻抗边界空腔声学分析中的应用

声学分析在噪声控制、室内隔音等工程计算中有着重要的作用. 由于现实生活中的声学模型往往伴随着吸声材料, 因此分析含阻抗边界条件的声学问题显得十分必要. 广义有限差分法是一种新型区域型无网格数值离散方法, 该方法基于多元函数泰勒级数展开式和加权最小二乘拟合, 将控制方程中未知参量的各阶偏导数表示为相邻节点函数值的线性组合. 本文首次将广义有限差分法应用于含阻抗边界条件空腔声学问题的分析中, 建立了空腔声场问题的广义有限差分法数值离散格式. 与传统算法相比, 所建立的数值模型具有无需网格剖分和数值积分、计算精度高、适用于大规模声学分析等优点. 通过具有解析解的经典算例, 研究了总节点数目和局部支撑点数目对数值结果的影响, 得到了最大计算频率与节点间距之间关系的经验公式. 此外, 将广义有限差分法应用于无解析解的二维和三维复杂声学模型, 并与COMSOL Multiphysics软件所得的有限元结果进行了比较分析. 数值实验表明, 该算法是一种高效、精确、稳定、收敛的数值模拟方法, 在含阻抗边界空腔声学分析中具有广阔的应用前景.      

Modeling of relativistic plasmas with the Particle-In-Cell method

Standard methods employed in relativistic electromagnetic Particle-In-Cell codes are reviewed, as well as novel techniques that were introduced recently. Advances in the analysis and mitigation of the numerical Cherenkov instability are also presented with comparison between analytical theory and numerical experiments. The algorithmic and numerical analytic advances are expanding the range of applicability of the method in the ultra-relativistic regime in particular, where the numerical Cherenkov instability is the strongest without corrective measures.     

热－塑变形局部化的有限元分析及其对激光破坏效应的应用

本文给出了热力耦合的热弹粘塑性材料的有限元分析方法，并讨论与之相关的时间积分算法，为改善线性插值函数所引起的不协调性及提高运算速度，应力协调迭代理论被引入相应的算法及程序中，最后对非绝热过程中热－塑变形局部化及激光诱导的剪切变形集中进行了数值模拟，其结果与理论分析有良好的吻合．     

摆锤式块杆型冲击拉伸试验装置的动力学系统简化分析

本文对摆锤式块杆型冲击拉伸试验装置进行了较完整的动力学系统简化分析。用差分方法和特征线方法进行了数值分析,并和试验结果进行了比较。结果表明本文的分析方法和计算程序是正确的和可靠的,该试验装置是合理的,可以得到材料在一定平均应变率下的应力应变曲线。本文还用数值分析的结果解释了试验中出现的现象,指出了试验系统的匹配问题,给出了判断试验装置最大打击应力的方法。     

受拉钢筋混凝土构件破坏过程中的等间距裂缝形成机理

采用三维真实材料破坏过程分析RFPA3D(Three-Dimension Realistic Failure Process Anal-ysis)系统,先对受拉钢筋混凝土构件在轴向拉伸作用下的破坏过程进行了数值试验研究,并与相应的实验结果进行了比较,数值试验得到的结果都与实验吻合的较好.并在此验证基础上利用RFPA系统着重分析了混凝土及钢筋在拉伸条件下的破坏过程中的应力分布情况过程及破坏机理.数值试验结果表明,受拉钢筋混凝土结构破坏过程中存在“等间距裂缝现象“,并通过破坏分析再现了裂缝形成、加密直至饱和的演化过程.本文还用三维程序,通过多个不同混凝土厚度钢筋混凝土构件的数值试验,研究了混凝土厚度对裂缝数及裂缝间距的影响,进一步发现饱和裂缝间距与混凝土厚度之间存在正比关系.随混凝土保护层厚度的增加而增大,裂缝数量随混凝土保护层厚度的增加而减少.     

边界积分方程——非连续边界元度散方法及其应用

利用非连续元离散边界积分方程,有效地解决了“角点效应”问题,对影响非连续元精度和分析效率的几个问题从数值计算的角度进行了讨论,将非连续边界元用于自适应边界元分析,给出了自适应边界元误差指示确定的一种方法,通过对具体实例分析表明了给所方法的可行性,。》     

One dimensional finite element solutions for a Maxwell fluid

The one-dimensional flow of a Maxwell fluid is used to study several aspects of the numerical simulation of viscoelastic fluids. The numerical results are produced via a Galerkin finite element method of the mixed type and are compared with an analytic solution. The accuracy of the numerical solutions are evaluated with respect to variations in mesh refinement and changes in the interpolation order for the stress variables. Various convergence and accuracy problems associated with the chosen numerical schemes are noted and a tentative explanation for these difficulties is provided through use of an eigenvalue analysis.     

Effects of viscous dissipation on thermally developing forced convection in a porous saturated circular tube with an isoflux wall

The viscous dissipation effect on forced convection in a porous saturated circular tube with an isoflux wall is investigated on the basis of the Brinkman flow model. For the thermally developing region, a numerical study is reported while a perturbation analysis is presented to find expressions for the temperature profile and the Nusselt number for the fully developed region. The fully developed Nusselt number found by numerical solution for the developing region is compared with that of asymptotic analysis and a good degree of agreement is observed.