非均匀Winkler弹性地基上变厚度矩形板自由振动的DTM求解

针对非均匀Winkler弹性地基上变厚度矩形板的自由振动问题,通过一种有效的数值求解方法——微分变换法（DTM）,研究其无量纲固有频率特性。已知变厚度矩形板对边为简支边界条件,其他两边的边界条件为简支、固定或自由任意组合。采用DTM将非均匀Winkler弹性地基上变厚度矩形板无量纲化的自由振动控制微分方程及其边界条件变换为等价的代数方程,得到含有无量纲固有频率的特征方程。数值结果退化为均匀Winker弹性地基上矩形板以及变厚度矩形板的情形,并与已有文献采用的不同求解方法进行比较,结果表明,DTM具有非常高的精度和很强的适用性。最后,在不同边界条件下分析地基变化参数、厚度变化参数和长宽比对矩形板无量纲固有频率的影响,并给出了非均匀Winkler弹性地基上对边简支对边固定变厚度矩形板的前六阶振型。     

斜孔压力灌浆加固筏板下软弱地基

介绍了斜孔压力灌浆加固软弱地基的一个成功实例。对于具有整体筏板基础的已建房屋,在其周围打斜孔,压力灌浆加固基础下的软弱地基,不失为一切实可行的最佳途径,但其理论和方法还不够完善和成熟,本文结合工程实例,阐述该方法的理论分析和方案设计思路,以供工程设计和施工人员参考。     

水泥土粉喷桩的研究及其应用

在建筑工程中，粉喷桩可用于加固深层地基。研究了桩土置换率、水泥土龄期、加固材料，搅拌时间，天然土的含水量以及掺和料对粉喷桩强度的影响规律，探讨了粉喷桩和桩间土的力学性能。粉喷桩成功地应用于东营地区，具有施工简单，承载能力相对较高的特点，适合于粘土、粉土及淤泥土等     

倾斜荷载下基桩C法的幂级数解

在C法(地基系数沿深度呈抛物线形式增加)假设基础上,从弹性桩的基本微分方程出发,考虑P-Δ效应并计入桩侧摩阻力和桩身自质量,推导并得到了倾斜荷载作用下单层均质土中基桩内力及位移的幂级数解.利用该解答对某工程实例进行了分析计算,并与传统的m法计算结果进行比较.结果表明,基于C法的幂级数解计算所得基桩内力及位移规律与工程实际吻合,且基桩最大弯矩和地面水平位移较m法降低10%左右.     

What we talk about when we talk about numbers

In this paper, I describe and motivate a new species of mathematical structuralism, which I call Instrumental Nominalism about Set-Theoretic Structuralism. As the name suggests, this approach takes standard Set-Theoretic Structuralism of the sort championed by Bourbaki, and removes its ontological commitments by taking an instrumental nominalist approach to that ontology of the sort described by Joseph Melia and Gideon Rosen. I argue that this avoids all of the problems that plague other versions of structuralism.     

基于Nastran的船舶局部强度有限元分析

以某国际航行船舶为例,按照中国船级社《钢质海船入级与建造规范》要求,应用三维有限元方法,进行了艏楼甲板锚机固定座的结构强度分析。计算结果表明,原设计满足局部强度要求,部分构件尺寸存在进一步优化空间。     

地铁隧道施工诱发桩基变形的数值仿真分析

利用数值分析软件ANSYS建立弹塑性有限元模型;考虑位于区间隧道轴线不同位置的邻近桩基及不同桩长情况,对区间隧道施工诱发邻近桩基的变形进行数值仿真试验分析,同时分析隧道开挖后土体与桩体参数等因素对邻近桩基变形的影响。数值仿真试验结果表明：地铁隧道开挖后桩体发生倾倒变形,桩端与洞轴线的相对位置及桩端土性对桩基变形有明显的影响,有桩侧隧道周围向洞内的水平位移比无桩侧的水平位移小,且随桩长增加,两者差别增大。     

Time and Causality: A Thermocontextual Perspective

The thermocontextual interpretation (TCI) is an alternative to the existing interpretations of physical states and time. The prevailing interpretations are based on assumptions rooted in classical mechanics, the logical implications of which include determinism, time symmetry, and a paradox: determinism implies that effects follow causes and an arrow of causality, and this conflicts with time symmetry. The prevailing interpretations also fail to explain the empirical irreversibility of wavefunction collapse without invoking untestable and untenable metaphysical implications. They fail to reconcile nonlocality and relativistic causality without invoking superdeterminism or unexplained superluminal correlations. The TCI defines a system’s state with respect to its actual surroundings at a positive ambient temperature. It recognizes the existing physical interpretations as special cases which either define a state with respect to an absolute zero reference (classical and relativistic states) or with respect to an equilibrium reference (quantum states). Between these special case extremes is where thermodynamic irreversibility and randomness exist. The TCI distinguishes between a system’s internal time and the reference time of relativity and causality as measured by an external observer’s clock. It defines system time as a complex property of state spanning both reversible mechanical time and irreversible thermodynamic time. Additionally, it provides a physical explanation for nonlocality that is consistent with relativistic causality without hidden variables, superdeterminism, or “spooky action”.     

无穷元在复合箱基中的应用研究

用无穷元对地下连续墙、箱基和上部框架共同作用进行了理论分析和计算,得到一些有益的结论,可供工程设计参考     

Integral Representations for the Deflection and the Slope of a Plate on an Elastic Foundation

With the help of two fundamental solutions, integral representations for the deflection and the slope of polygonal shaped plates on an elastic foundation are derived. The kernel functions are evaluated in terms of zero-order Kelvin- or Thomson-functions and their derivatives, respectively. This revised version was published online in August 2006 with corrections to the Cover Date.