CRACK PROPAGATION IN STRUCTURES SUBJECTED TO PERIODIC EXCITATION

In the present paper,a simple mechanical model is developed to predict the dynamic response of a cracked structure subjected to periodic excitation,which has been used to identify the physical mechanisms in leading the growth or arrest of cracking.The structure under consideration consists of a beam with a crack along the axis,and thus,the crack may open in Mode I and in the axial direction propagate when the beam vibrates.In this paper,the system is modeled as a cantilever beam lying on a partial elastic foundation,where the portion of the beam on the foundation represents the intact portion of the beam.Modal analysis is employed to obtain a closed form solution for the structural response.Crack propagation is studied by allowing the elastic foundation to shorten(mimicking crack growth)if a displacement criterion,based on the material toughness,is met.As the crack propagates,the structural model is updated using the new foundation length and the response continues.From this work,two mechanisms for crack arrest are identified.It is also shown that the crack propagation is strongly influenced by the transient response of the structure.     

文克尔地基上阶梯式矩形板弹性曲面微分方程的解析解

本文应用阶跃函数建立了文克尔地基上阶梯式矩形薄板弹性曲面微分方程,并用初参法和作者引入的W运算符获得了该微分方程解的解析表达式。文中举例说明了本文方法的应用。     

BOUNDARY INTEGRAL EQUATIONS FOR BENDING PROBLEM OF REISSNER'S PLATES ONTWO-PARAMETER FOUNDATION

I.IntroductionThickplatesonelastict'oundationarewidelyusedinengineering,suchasthebottomplatesofoffShorestructures,surfaceplatesonrunwayofairportsandfoundationsofhigh-risebuildingsandthelike.Itisextremelydifficulttoobtainanalyticalsolutiontarathickplatewithcomplicatedshapeorcomplicatedboundaryconditiononelasticfoundation.Inrecentyears,theboundaryelementmethod(BEM)hasbeensuccessl'ullyusedtoanalyzethebendingproblemofplatesoneverykindofelasticfoundation(Ref.[l,2.3]).Butthereareonlyfewreferences…     

非线性地基上弹性梁屈曲传播抑制的动力有限元分析

基于非线性地基弹性梁屈曲传播的动态控制方程，考虑梁质量惯性的影响，用有限元和时间积分相结合的方法，计算了分析了止屈器对梁屈曲传播抑制的作用，止屈器是通过局部加大地基刚度加以模拟。研究表明：考虑动态得到的止屈效果和前人以准静态为前提的结果相比有明显不同。     

无拉力Winkler地基梁静力分析的线性互补法

提出了无拉力Ｗｉｎｋｌｅｒ地基梁弯曲的线性互补法．将地基反力作为未知量而获得了一组地基与梁之间相对竖向位移和反力的线性互补方程．计算结果表明本文解与文［２，３］解吻合良好。     

Simple discrete-continuous model of machine support subject to transversal kinematic excitation

In this paper a simple discrete-continuous layered model is proposed in dynamic investigations of a machine support subjected to transversal kinematic excitation. The model consists of an elastic finite-layered system connected to two rigid bodies. The layers undergo only shear deformation and may differ in their mechanical properties. In the discussion, the classical wave equation and the wave solution are applied after the estimation of the support dimensions by a comparison of the frequencies of free vibration for the Timoshenko beam and the classical wave equation. Numerical calculations are carried out for a four-layered model.

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Sommario Il lavoro propone un semplice modello continuo/discreto di stratificato per un supporto di macchina soggetto ad eccitazione trasversale.Il modello consiste in un sistema elastico stratificato interposto fra due elementi rigidi i cui strati reagiscono a deformazioni puramente tangenziali e possono avere proprietà meccaniche differenti.Nel lavoro viene impiegata la classica trattazione basata sull'equazione delle onde e viene operato un confronto di risultati basati su di una approssimazione alla Timoshenko.Esempi numerici fanno riferimento ad un modello con quattro stratificazioni.

     

长短桩组合型复合地基优化设计方法研究

在软土地基上建造建(构)筑物需要进行地基处理,复合地基是一种行之有效的地基处理方式。工程上一般对地基浅层土的承载力要求较高,而深层只需满足下卧层强度要求即可。长短桩复合地基可做到浅层置换率高,深部置换率低,这样就合理地满足了软弱地基不同深度对承载力的要求。同时长短桩复合地基浅部置换率高,加固区复合地基模量大,深部置换率低,复合地基模量较低,正好适应浅部附加应力大,深部附加应力小的应力场,这样对减少软弱地基总沉降有利。本文探讨了长短桩复合地基优化设计方法,提出了长短桩复合地基优化设计数学模型,并利用复合形法求解优化设计数学模型,同时给出了优化设计计算算例,计算结果表明,此优化设计方法不仅可有效地保证长短桩复合地基设计方案技术上可靠,还可获得最佳的经济效益。     

岩土介质横观各向同性的模拟

评述了岩土介质横观各向同性模拟的进展状况，包括横观各向同性弹塑性及其屈服准则的模拟，并给出了相应的力学模型及其数学表达式．     

Dynamic behavior of piles embedded in transversely isotropic layered media

Dynamic behavior of single pile embedded in transversely isotropic layered media is investigated using the finite element method combined with dynamic stiffness matrices of the soil derived from Green's function for ring loads. The influence of soil anisotropy on the dynamic behavior of piles is examined through a series of parametric studies     

V型三能级原子系统中电磁诱导各向同性的二维左手效应

研究被两正交光场耦合的V型三能级原子系统中电磁诱导下的左手效应.讨论了正交耦合光场强度、探测场失谐量和上能级间自发辐射耦合相干对该原子系统介电常数、磁导率和折射系数的影响.研究表明,在合适的参数条件下,该原子系统的介电常数、磁导率在二维相同的区域内同时为负值,且取值分布具有各向同性的特征;即产生了各向同性的二维左手效应.