A stiffness parameter and truncation error criterion for adaptive path following in structural mechanics

We explore a truncation error criterion to steer adaptive step length refinement and coarsening in incremental-iterative path following procedures, applied to problems in large-deformation structural mechanics. Elaborating on ideas proposed by Bergan and collaborators in the 1970s, we first describe an easily computable scalar stiffness parameter whose sign and rate of change provide reliable information on the local behavior and complexity of the equilibrium path. We then derive a simple scaling law that adaptively adjusts the length of the next step based on the rate of change of the stiffness parameter at previous points on the path. We show that this scaling is equivalent to keeping a local truncation error constant in each step. We demonstrate with numerical examples that our adaptive method follows a path with a significantly reduced number of points compared to an analysis with uniform step length of the same fidelity level. A comparison with Abaqus illustrates that the truncation error criterion effectively concentrates points around the smallest-scale features of the path, which is generally not possible with automatic incrementation solely based on local convergence properties.     

粉土界面恒刚度循环剪切试验研究

竖向循环荷载作用下桩土界面的作用机理是研究桩土摩擦疲劳的关键。针对循环荷载作用下桩-粉土界面的剪切性能,使用改进的剪切试验装置在恒刚度条件下进行循环剪切试验,研究循环次数、累积位移和法向刚度对其摩擦疲劳性能、循环后单调剪切性能的影响。试验结果表明,粉土在循环剪切过程中,法向应力和剪应力在初始10个循环内随循环数增加快速衰减,随着循环进行,逐渐趋于稳定;单次循环内在剪切位移方向变化时,土体呈现表现出剪缩-剪胀-剪缩交替现象,总体变形呈现剪缩的趋势;循环荷载作用下,粉土界面的法向应力和剪应力随法向刚度增大衰减速率增大,达到稳定的累积循环位移越小;粉土循环后的单调剪切、法向应力恢复的单调剪切的剪应力比小于首次单调剪切试验值,且法向应力恢复的循环后剪切试验的剪胀程度较小,表明循环剪切过程中界面处粉土颗粒棱角破碎,颗粒变得光滑。在对试验数据分析的基础上,提出了与累积位移、法向刚度和初始应力相关的无量纲累积位移,建立了法向应力和界面摩擦角随累积位移的衰减方程。     

砾岩储层精细描述中标准测井资料的应用

克拉玛依油田七区的标准测井资料是指使用标准电极系视电阻率测井、自然电位测井和井径测井,以相同的1:500深度比例尺及相同的横向比例进行测井作业所取得的资料.这种资料本来并不具备定量解释储层孔隙度和含油饱和度的能力,但这种资料占该区测井资料总量的比率高达34%.利用标准电极系视电阻率资料和岩心分析资料建立了视电阻率-岩性图版,利用自然电位减小系数α和岩心孔隙度分析资料φ建立了α-φ图版,根据综合测井资料求出标准测井视电阻率校正系数,进而确定了饱和度计算方程的参数.与相应的综合测井资料计算结果相对比,用该方法得到的孔隙度平均绝对误差及相对误差分别为1.85%和11.88%;含油饱和度平均绝对误差及相对误差分别为9.08%和24.75%.将该方法有选择地应用到该区砾岩储层精细描述研究中,弥补了缺乏综合测井资料无法进行测井储层评价及参数研究的缺陷.     

现代电子工业Cpk评价中的特殊问题

现代电子工业生产具有许多新的特点，如果不针对具体情况，均采用传统工业生产中广泛使用的常规方法计算其工序能力指数，评价生产工艺水平，将可能导致错误的结论。总结了电子工业生产中工艺参数的典型特点，并讨论了工序能力指数的正确计算方法。     

Analysis and simulations of vibrations of a beam with a slider

A model for vibrations of a beam with a slider is derived, analysed and numerically simulated. It describes a viscoelastic beam that is clamped at one end to a vibrating device, while the other end moves between two stops attached to a slider. The contact is described by the normal compliance or by the Signorini conditions. The existence of weak solutions is established using the theory of set-valued pseudomonotone operators. The model is discretized using fourth-order spatial discretization, the solutions are numerically simulated and their results presented. The dynamics of the vibrations are depicted and so are the noise characteristics of the system.     

SiGe／Si多量子阱中垂直方向红外吸收及共振色散效应

用垂直入射的中红外光束调制非掺杂SiGe/Si量子阱中光致子带间吸收，氩离子激光器作为子带间跃迁的光泵浦源在阱中产生载流子，红外调制光谱用步进式傅立叶变换光谱仪记录，实验中观察到明显的层间干涉效应与子带间跃迁有关的色散效应，理论和实验分析认为样品折射率变化造成的位相调制可以补偿吸收所造成的幅度调制。     

底部两层框架-抗震墙砖房抗震能力的分析方法与设计控制

提出了底部两层框架 -抗震墙砖房框剪层和砖混层的极限受剪承载力、侧移刚度、极限剪力系数计算公式 ,并基于设置不同数量抗震墙的底部两层框架 -抗震墙砖房的实例计算和弹塑性时程分析 ,给出了结构砖混过渡层与相邻框剪层的极限剪力系数比和侧移刚度比的合理取值及薄弱楼层位置判别和破坏状态评定的方法和原则。     

A continuum-based modeling of MEMS devices for estimating their resonant frequencies

A continuum-based modeling of coupled electrostatics-structure interactions is presented for the frequency computations of MEMS devices. The present general formulation of electrostatics accounting for free space is validated first by specializing it to one-dimensional uniform motion of conducting surfaces and comparing the resulting electrostatics to conventional lumped models. The general coupled electrostatics-structure interactions are then applied for the prediction of resonant frequencies of MEMS devices due to bias-voltage changes and temperature variations. Comparisons of predicted resonant frequencies obtained by the present coupled electrostatics-structure interaction models with experimental results available in the literature demonstrate that the proposed continuum-based interaction modeling yields high-confidence predictions of resonant frequencies of MEMS devices.     

缺省理论的简化

缺省理论△=(D,W)中的缺省规则集D,是该理论的不确定因素.如果能去掉一些缺省规则而又不影响该理论的延伸,则就在一定程度上简化了该理论.本文证明了关于规范缺省理论的延伸的若干性质,利用这些性质,我们可以把某些规范缺省理论在一定条件下得以化简,有的甚至可以把它们化为一阶逻辑理论.