基于区域分解的环肋圆柱壳-圆锥壳组合结构振动分析

提出了一种区域分解法来分析不同边界条件下环肋骨圆柱壳-圆锥壳组合结构的振动特性.首先把组合壳体分解为自由的圆柱壳、圆锥壳段;视环肋骨为离散元件,根据肋骨与圆柱壳段之间的变形协调条件,将肋骨的动能和应变能附加于圆柱壳段能量泛函中.然后基于分区广义变分和最小二乘加权残值法将所有分区界面的位移协调方程引入到组合壳体的能量泛函中.圆柱壳段、圆锥壳段位移变量的周向和轴向分量分别采用Fourier级数和Chebyshev多项式展开.以自由-自由、自由-固支和固支-固支边界条件的环肋骨组合壳体为例,采用区域分解法分析了其自由振动及在不同激励下的振动响应.通过与有限元软件ANSYS结果进行对比,发现两种方法计算结果非常吻合,验证了区域分解方法的计算精度和高效性.     

An adaptive finite element method for viscoplastic flows in a square pipe with stick–slip at the wall

This paper presents the numerical solution of non-linear yield stress phenomena by using a new mixed anisotropic auto-adaptive finite element method. The Poiseuille flow of a Bingham fluid with slip yield boundary condition at the wall is considered. Despite its practical interest, for instance for pipeline flows of yield-stress fluids such as concrete and cements, this problem has not been addressed yet to our knowledge. The case of a pipe with a square section has been investigated in detail. The computations cover the full range of the two main dimensionless numbers and exhibit complex flow patterns: all the different flow regimes are completely identified.     

基于渐近传递函数解的截锥壳单元

普通截锥壳单元是分析旋转壳结构的常用单元,但应力计算的精度较差;而渐近传递函数解在圆锥壳的应力分析方面具有很高的计算精度。本文针对一般截锥壳单元应力计算精度不高的缺点,将传递函数法与有限元法进行结合,以圆锥壳的渐近传递函数解为插值函数,直接构造了一种高精度的截锥壳单元,该单元位移插值模式满足相容性和完备性要求,并具有力学概念清楚、计算精度高等特点。数值算例表明,采用该单元进行圆锥壳的内力和自由振动     

Highly accurate symplectic element based on two variational principles

For the stability requirement of numerical resultants, the mathematical theory of classical mixed methods are relatively complex. However, generalized mixed methods are automatically stable, and their building process is simple and straightforward. In this paper, based on the seminal idea of the generalized mixed methods, a simple, stable, and highly accurate 8-node noncompatible symplectic element (NCSE8) was developed by the combination of the modified Hellinger-Reissner mixed variational principle and the minimum energy principle. To ensure the accuracy of in-plane stress results, a simultaneous equation approach was also suggested. Numerical experimentation shows that the accuracy of stress results of NCSE8 are nearly the same as that of displacement methods, and they are in good agreement with the exact solutions when the mesh is relatively fine. NCSE8 has advantages of the clearing concept, easy calculation by a finite element computer program, higher accuracy and wide applicability for various linear elasticity compressible and nearly incompressible material problems. It is possible that NCSE8 becomes even more advantageous for the fracture problems due to its better accuracy of stresses.     

An improvement of the Prandtl-Reuss theory and the hybrid / mixed vari-stiffness method of finite element analysis

The common Prandtl-Reuss theory has been improved in this paper. A quasi-flow law of the isotropic hardening Mises materials has been proposed as well, on the basis of which, an efficient iterative algorithm of finite element analysis, hybrid / mixed vari-stiffness method, has been obtained. The numerical examples calculated by the plane stress / strain element model are given. Compared with the common initial stress method, the hybrid / mixed vari-stiffness method shows its advantages in the convergent speed, calculating accuracy and treatment scheme of the incompressibility of materials.     

一般壳体结构大位移和大应变弹塑性有限元分析与损伤力学的某些应用

离散的Kirchhoff理论三角形单元对一般壳体结构的分析是十分可靠的和有效的，本文将推广此种单元去分析壳体结构的大位移大应变弹塑性响应，校正的拉格朗日增量的Jaumann应力公式和塑性损伤相耦合的塑性流动本构关系已应用于列式中，在对带环向裂纹和环向槽受四点弯曲载荷的圆醉壳的分析中，显示了和实验结果符合一致，且说明了与塑性损伤相耦合的大应变弹塑性分析无论在宏观水平上或微观水平上都能显示比断裂力学方法更符合实际的结果。     

Turbulent flow in a conical diffuser: A review

This is a review of experimental studies of turbulent flow in a conical diffuser by eight Ph.D. students, eleven M.Sc. students, one M.Eng. student, and myself in the past 29 years. During this time, two conical diffusers were constructed: the first was of cast aluminum construction, and the second was of plastic fabrication. These two diffusers were basically the same in geometry except that the pipe section was constructed as an integral part of the plastic diffuser to avoid the lip at the junction of the inlet pipe and the diffuser. The conical diffuser had a total divergence angle of 8°, an area ratio of 4:1, and an inlet diameter of 0.1016 m (4 in.).

The flow at the inlet of the diffuser was usually fully developed pipe flow, but sometimes it was boundary layer grown on the pipe wall. Hot-wire and pulse-wire anemometry together with computer facilities were used to obtain the results of complex flow present in the conical diffuser. Mean velocity profiles were obtained throughout the diffuser, which in turn were used to obtain strain rates and their principal direction. Turbulence moments up to fourth order were measured. The results were used to assess momentum, turbulent kinetic energy, and shear stress equations. Other features such as instantaneous flow reversals in the wall region, relative strength of large eddies, extra strain rate, and the production of kinetic energy also were investigated to find the dynamical picture in the diffuser flow.     

空间网格结构几何非线性有限元分析方法的研究

在对 T.L/ U.L.法和 C.Oran梁柱单元有限元法进行系统研究比较的基础上 ,推导了结合以上两种理论的几何非线性有限元列式。C.Oran梁柱单元在分析轴力为主的结构时具有非常高的效率 ,但在分析纯弯曲问题时却存在很大困难。本文采用 VC 6 .0编制了面向对象的非线性有限元程序 ,对其进行了考题验算分析 ,得出了有用的结论。     

非稳态温度场热弹塑性蠕变有限元分析

本文分析航空发动机主要部件在飞行一次循环加载过程中的应力与应变状态.考虑到瞬态效应,它们在升机与降机时应力变化是剧烈的,为此编制了非稳态温度场的热弹塑性蠕变分析专用程序(简称TEPCAB),该程序包括各向同性强化与随动强化两种模型.经考核后对某涡盘采用不同加载方案进行应力分析与比较.所得结论可供工程设计者参考.     

交通载荷作用下埋地含缺陷玻璃钢管道力学行为研究

为分析含缺陷玻璃钢管道在交通载荷作用下的力学行为,基于ABAQUS有限元软件建立了含不同形状缺陷管道模型和不同埋深管土模型,研究了不同埋深、不同载荷及缺陷深度对管道不同层中截面沿环向应力分布规律的影响。结果表明,无缺陷管道各层应力分布均匀,含缺陷管道内区域层应力沿管材缠绕方向集中于缺陷对称角处;管道仅含轴向缺陷时管体应力峰值与应力突变幅度最大;缺陷相对深度对管道应力峰值影响较大。

     

Thermoviscoplastic modelling of asymmetric effects for polymers at large strains

Glassy polymers such as polycarbonate exhibit different behaviours in different loading scenarios, such as tension and compression. To this end a flow rule is postulated within a thermodynamic consistent framework in a mixed variant formulation and decomposed into a sum of weighted stress mode related quantities. The different stress modes are chosen such that they are accessible to individual examination in the laboratory, where tension and compression are typical examples. The characterisation of the stress modes is obtained in the octahedral plane of the deviatoric stress space in terms of the Lode angle, such that stress mode dependent scalar weighting functions can be constructed. Furthermore the numerical implementation of the constitutive equations into a finite element program is briefly described. In a numerical example, the model is used to simulate the laser transmission welding process.     

Characteristics of low-temperature short heat pipes with a nozzle-shaped vapor channel

This paper presents the results of experimental and numerical studies of heat transfer and swirling pulsating flows in short low-temperature heat pipes whose vapor channels have the form of a conical nozzle. It has been found that as the evaporator of the heat pipe is heated, pressure pulsations occur in the vapor channel starting at a certain threshold value of the heat power, which is due to the start of boiling in the evaporator. The frequency of the pulsations has been measured, and their dependence on the superheat of the evaporator has been determined. It has been found that in heat pipes with a conical vapor channel, pulsations occur at lower evaporator superheats and the pulsation frequency is greater than in heat pipes of the same size with a standard cylindrical vapor channel. It has been shown that the curve of the heat-transfer coefficient versus thermal load on the evaporator has an inflection corresponding to the start of boiling in the capillary porous evaporator of the heat pipe.     

拉格朗日几何非线性混合应变元

本文应用由Ｓｉｍｏ和Ｒｉｆａｉ建议的混合假定附加应变途径，采用第二Ｐｉｏｌａ－Ｋｉｒｃｈｈｏｆｆ应力张量和Ｇｒｅｅｎ－Ｌａｇｒａｎｇｅ应变张量作能量共轭的应力应变度量，导出了Ｌａｇｒａｎｇｅ几何非线性下的胡海昌－Ｗａｓｈｉｚｕ三变量变分原理的Ｇａｌｅｒｋｉｎ形式以及相应的混合假定应变元公式。     

Stress distribution near grain boundary in anisotropic bicrystals and tricrystals

The rate dependent crystallographic finite element program was implemented in ABAQUS as a UMAT for the analysis of the stress distributions near grain boundary in anisotropic bicrystals and tricrystals, taking the different crystallographic orientations into consideration. The numerical results of bicrystals model with the different crystallographic orientations shows that there is a high stress gradient near the grain boundaries. The characteristics of stress structures are dependent on the crystallographic orientations of the two grains. The existing of triple junctions in the tricrystals may result in the stress concentrations, or may not, depending on the crystallographic orientations of the three grains. The conclusion shows that grain boundary with different crystallographic orientations can have different deformation, damage, and faUure behaviors. So it is only on the detail study of the stress distribution can the metal fracture be understood deeply.     

The propagation of elastic stress waves in a conical shell under axial impulsive loading

The propagation of elastic stress waves in a conical shell subjected to axial impulsive loading is studied in this paper by means of the finite element calculation and model experiments. It is shown that there are two axisymmetrical elastic stress waves propagating with different velocities, i.e., the longitudinal wave and the bending wave. The attenuation of these waves while propagating along the shell surface is discussed. It is found in experiments that the bending wave is also generated when a longitudinal wave reflects from the fixed end of the shell, and both reflected waves will separate during the propagation due to their different velocities. Southwest Institute of Structural Mechanics     

Computational technique for flow in blood vessels with porous effects

IntroductionThehemodynamicsofflowsthroughbloodvesselsisofgreatinterest,becausethesevesselspresentasubstantialhealthriskandareamajorcauseofmortalityandmorbidityintheindustrializedworld .Researchpapersonthebloodflowhaveappearedbutmostofthemhaveneglectedtheporosityeffectsduetovesselwalls.Inthisstudyweareinterestedintheflowthroughabloodvesseltakingintoaccounttheporosityeffectsofthevessels.Fluidflowthroughaporousmediumisoffundamentalimportancetowiderangeofdisciplinesinthevariousbranchesofnaturalsci…     

Static and free vibration analysis of graphene platelets reinforced composite truncated conical shell,cylindrical shell,and annular plate using theory of elasticity and DQM

Abstract

In this paper, three-dimensional static and free vibration analysis of functionally graded graphene platelets-reinforced composite (FG-GPLRC) truncated conical shells, cylindrical shells and annular plates with various boundary conditions is carried out within the framework of elasticity theory. The main contribution of the present work is that formulation for free vibration and bending behavior of the FG-GPLRC truncated conical shell based on theory of elasticity has not yet been reported. Additionally, formulation and solution for cylindrical shell and annular plate are derived by changing the semi vertex angle in formulation and solution of FG-GPLRC truncated conical shell. A semi-analytical solution is proposed base on employing differential quadrature method (DQM) together with state-space technique. Validity of current approach is assessed by comparing its numerical results with those available in the literature. An especial attention is drawn to the role of GPLs weight fraction, patterns of GPLs distribution through the thickness direction, geometrical parameters such as semi-vertex angle, length to mid-radius ratio on natural frequencies and bending characteristics. Numerical results reveal that desirable static and free vibration response (such as lower radial deflection and higher natural frequencies) can be achieved by locating more square shaped GPLs near inner and outer surfaces.     

各向异性复合材料尖劈和接头的奇性应力指数研究

提出了一个新的、基于位移的、求解三维尖劈端部奇性应力指数问题的非协调元特征分析法。该方法假定尖劈端部邻域内的位移场没有采用奇异变换技术，导出虚功方程的出发点不同于过去原有求解裂纹尖端近似场的有限元特征分析法，在有限元离散时采用的单元形式为非协调元。文中运用该方法给出了若干求解各向异性复合材料尖劈／接头端部奇性应力指数的算例。所有的计算结果表明，本文方法能够求解复杂尖劈／接头的全部奇性应力指数，使用的单元少而且精度高。     

拉伸荷载下分支裂隙破坏机理研究

为研究拉伸荷载下分支裂隙对破坏模式的影响,保持主裂隙参数不变,改变分支裂隙倾角和长度,利用扩展有限元方法模拟了弯折裂隙的动态扩展,总结了分支裂隙参数变化对破坏模式的影响.利用ABAQUS中的轮廓积分计算了分支裂隙尖端应力强度因子,并根据最大周向应力准则计算起裂角.结果表明:拉伸荷载下分支裂隙出现三种破坏模式;分支裂隙倾...     

THE SIMULATION OF SOME MODEL VISCOELASTIC EXTENSIONAL FLOWS

The numerical simulation of three model viscoelastic extensional flows is considered: sink flow, model draw-down and conical section draw-down. A transient finite element scheme with a pressure correction method is employed to analyse the numerical treatment of such problems for Oldroyd- Band Phan-Thien/Tanner constitutive models. Both decoupled and coupled formulations are compared for these highly convective flows and effective mechanisms are proposed for removing numerical oscillations in the temporally developing solution. In pure viscoelastic extensional flow from an initial stress-free state, the maximum stress level attained decreases with increase in material relaxation time. When this is followed by stress relaxation, as in conical section draw-down, increasing the relaxation time inhibits stress decay.