基于晶体塑性理论的疲劳裂纹起始数值模拟

在疲劳荷载作用早期,材料在晶体尺度出现裂纹的萌生,为了研究疲劳短裂纹的发展,利用Monte Carlo法建立了多晶体晶粒集合的Voronoi有限元模型,并在Ansys Usermat子程序接口下编写了晶体塑性本构方程子程序,修正了以拉伸硬化为主的疲劳裂纹起裂的计算机模拟方法,并结合TANAKA和MURA的位错偶极子模型,模拟了晶粒集合在疲劳荷载作用下的裂纹萌生,最后与文献实验数据对比,这一修正的方法更加符合实验结果和宏观现象.     

Advances and trends in plastic forming technologies for welded tubes

With the implementation of environmental protection, sustainable development and conservation-oriented policies, components and parts of thin-walled welded tubes have gained increasing application in the aircraft and automotive industries because of their advantages: easily achieving forming and manufacturing process at low cost and in a short time. The current research on welded tube plastic forming is mainly concentrated on tube internal high-pressure forming, tube bending forming, and tube spinning forming. The focuses are on the material properties and characterization of welded tubes, finite element modeling for welded tube forming, and inhomogeneous deformation behavior and the mechanism and rules of deformation coordination in welded tube plastic forming. This paper summarizes the research progress in welded tube plastic forming from these aspects. Finally, with a focus on the urgent demand of the aviation, aerospace and automotive industries for high-strength and light-weight tubes, this paper discusses the development trends and challenges in the theory and technology of welded tube plastic forming in the future. Among them,laser tailor-welded technology will find application in the manufacture of high-strength steel tubes.Tube-end forming technology, such as tube flaring and flanging technology, will expand its application in welded tubes. Therefore, future studies will focus on the FE modeling regarding how to consider effects of welding on residual stresses, welding distortions and microstructure, the inhomogeneous deformation and coordination mechanism of the plastic forming process of tailor-welded tubes, and some end-forming processes of welded tubes, and more comprehensive research on the forming mechanism and limit of welded tubes.     

金属弹簧管性能影响因素的仿真分析

为了研究高温密封组件金属弹簧性能,本文通过对波音公司编网状弹簧管结构和Streck心脏支架结构的研究,建立了编织弹簧的几何拓扑构型和数学模型,推导了弹簧直径计算公式。采用AUTODESK3D-MAX构建了编织弹簧的仿真模型,用ANSYS仿真软件分别从编织丝直径、编织密度以及编织方法 3方面探究不同测试对弹簧性能的影响。结果表明,增加弹簧丝直径、降低弹簧管轴向方向的编织密度、提高圆周方向的编织密度、向外的弹簧管编织方式可有效提高弹簧管的回弹性能。     

带非线性支撑的转子有限元模型求解方法

用数值方法研究了非线性支撑的柔性转子系统的动学行为,提出了一种将有限元与非线性支撑结合的模型和求解方法。利用有限元法(FEM)构建转轴和转盘部分的模型,通过矩阵进行组合;利用离散元方法对包含滚动轴承和挤压油膜阻尼器(SFD)的支撑部分进行建模,此部分包含4个单元,分别为轴承内圈、外圈、SFD内圈和支撑鼠笼。有限元部分和离散元部分通过轴端节点相连,仿真过程中轴端位移传递给非线性支撑部分,支撑部分通过位移计算得到的非线性力反过来作用于有限元转子轴端部分。为了耦合求解有限元转子和非线性支撑组成的数学模型,提出了一种综合的迭代求解方法,克服传统的有限元求解方法对轴端隐性非线性支撑的求解局限性。由于转轴部分采用了Timoshenko梁单元建模,对比与简单转子模型,可以考虑陀螺力矩和轴的柔性特征,更能体现非线性支撑对振动真实影响。在建立的20个轴单元的有限元转子模型中,非线性响应更多体现在靠近非线性支撑的节点1和节点21处,响应频谱中靠近轴端的节点能体现出滚动轴承的2倍和3倍变柔振动频率。     

Mesh-dependence of Material with Softening Behavior

The issue of mesh-dependence emerges when the conventional continuum damage model is applied to handling the softening behavior. In order to circumvent the mesh-dependence, the non-local theory is introduced into the conventional damage model and the finite element formulas are derived for two-dimensional gradient-enhanced damage model. A new element is proposed in which the basic unknown quantities are displacement, non-local equivalent strain and the gradient of non-local equivalent strain. The element and constitutive equation proposed in this article are added to the finite element software ABAQUS through user subroutine UEL. Numerical results show that the gradient-enhanced damage model can eliminate the mesh-dependence and is effective for dealing with the issue of softening behavior.     

The use of Gaussian equations of motions of a satellite for local gravity anomaly recovery

The orbital elements of a low Earth orbiting satellite and their velocities can be used for local determination of gravity anomaly. The important issue is to find direct relations among the anomalies and these parameters. Here, a primary theoretical study is presented for this purpose. The Gaussian equations of motion of a satellite are used to develop integral formulas for recovering the gravity anomalies. The behaviour of kernels of the integrals are investigated for a two-month simulated orbit similar to that of the Gravity field and steady-state ocean circulation explorer (GOCE) mission over Fennoscandia. Numerical investigations show that the integral formulas have neither isotropic nor well-behaved kernels. In such a case, gravity anomaly recovery is not successful due to large spatial truncation error of the integral formulas. Reformulation of the problem by combining the orbital elements and their velocities leads to an integral with a well-behaved kernel which is suitable for our purpose. Also based on these combinations some general relations among the orbital elements and their velocities are obtained which can be used for validation of orbital parameters and their velocities.     

考虑前屈曲几何非线性影响的结构稳定性分析

本文采用有限元法分析考虑前屈曲几何非线性影响的结构稳定性。应用伴有线性搜索和各种牛顿型解法的组合弧长法可以顺利地描述包含有极值点的载荷一位移曲线,与此同时,若在加载点处计算结构刚度矩阵的行列式值、临界载荷因子和特性刚度参数等值,则可根据稳定准则,通过插值确定临界点的位置。从而为研究复杂结构稳定性提供简便而有效的方法。     

Bush有限单元原理及其在航天器结构建模中的应用

利用大量的数值计算确定了MSC.NASTRAN软件中广义弹簧单元（Bush）刚度阵的解析表达式,通过对比Bush元与剪切梁元的刚度阵,推导了Bush元参数与剪切梁刚度参数的对应关系,并利用展开状态的太阳翼结构和大型桁架结构的静力和动力分析验证了推导结果。该研究揭示了Bush有限单元的原理和所有输入参数的物理含义,有助于Bush元在结构有限元分析中的准确使用。     

热-机耦合分析的有限元法及其应用

基于有限元分析的基本原理,建立了热-机耦合问题分析的有限元基本方程,并对工件挤压过程及摩擦制动问题进行了分析。算例表明,热-机耦合分析方法能很好地模拟受热结构的温度场和应力应变场,为结构设计和工艺设计提供依据。     

运输环境中某战术导弹结构振动特性分析

应用三维有限单元和导弹实体简化模型对一种战术导弹的结构振动特性进行分析，并动用ＡＮＳＹＳ有限元分析程序，计算得到了“自由－固支”条件下，导弹竖立状态的固有模态，取得了与试验和数据基本一致的结果，证明了所建模型物正确性，进而对运输环境中导弹水平支承条件下的固有频率和振型进行了分析计算，所得结果为导弹的使用可靠性分析提供了依据。