C~0型高阶锯齿理论及复合材料厚梁热应力分析

基于已有锯齿理论构造单元时,需使用满足单元间C1连续的插值函数,难于构造多节点高阶单元,而且精度较低。针对已有锯齿理论存在的问题,本文首先发展了C0型锯齿理论。通过虚位移原理推导出在热载荷作用下复合材料梁的平衡方程,并给出了简支复合材料层合梁解析解。基于发展的锯齿理论分析了复合材料夹层梁和层合梁热膨胀问题,并与其他理论结果对比。数值结果表明,发展的C0型锯齿理论能克服已有锯齿理论的难题。     

按位移求解弹性力学平面问题的解析构造解研究

针对弹性力学平面问题偏微分方程组的位移法,引入多指数函数,提出了含未知参量的指数函数、三角函数和线性函数组合形式的位移函数解析构造解。建立了任意边界条件与未知参量之间所满足的非线性代数方程组,确定了边界节点条件和未知参量的数量关系。推导了具有对称位移边界的位移函数解析构造解。构建了位移函数构造解的精度判定方法。求解了具有对称位移边界条件的矩形板算例的位移解与误差分析。研究结果可为位移法理论和实际工程应用提供参考。     

Bending analyses of 1D orthorhombic quasicrystal plates

The meshless Petrov–Galerkin method (MLPG) is applied to plate bending analysis in 1D orthorhombic quasicrystals (QCs) under static and transient dynamic loads. The Bak and elasto-hydrodynamic models are applied for phason governing equation in the elastodynamic case. The phason displacement for the orthorhombic QC in the first-order shear deformation plate theory depends only on the in-plane coordinates on the mean plate surface. Nodal points are randomly distributed over the mean surface of the considered plate. Each node is the center of a circle surrounding this node. The coupled governing partial differential equations are satisfied in a weak-form on small fictitious subdomains. The spatial variations of the phonon and phason displacements are approximated by the moving least-squares (MLS) scheme. After performing the spatial MLS approximation, a system of ordinary differential equations (ODEs) for nodal unknowns is obtained. The system of the ODEs of the second order is solved by the Houbolt finite-difference scheme. Our numerical examples demonstrate clearly the effect of the coupling parameter on both static and dynamic phonon/phason deflections.     

单箱双室箱梁的剪力滞效应分析

针对单箱双室箱梁,考虑各翼板间剪力滞翘曲的差异,并结合全截面轴力自平衡条件,定义了箱梁各翼板的剪滞翘曲位移函数. 利用最小势能原理,建立了双室箱梁考虑剪力滞效应的控制微分方程. 对一典型的单箱双室简支箱梁,利用空间板壳数值方法和本文解析解方法,研究了满跨均布载荷和跨中集中力作用下截面的剪力滞分布规律. 结果表明,本文提出的剪力滞翘曲位移模式能够反映双室箱梁各翼板间剪力滞翘曲的差异,本文解析解与有限元数值解吻合良好. 双室箱梁中腹板部位顶、底板处的剪力滞效应与边腹板部位有一定差异,对算例结构,中腹板部位的顶、底板应力小于边腹板部位的应力.     

多次爆破荷载作用下大荒沟小净距隧道围岩岩体位移响应

以丹东-通化高速公路大荒沟隧道进行的爆破振动监测数据为依据,采用FLAC-3D软件,分析了多次爆破荷载作用下大荒沟隧道小净距段围岩位移响应规律。根据爆破振动监测数据,考虑了竖向和横向质点运动在爆破荷载作用下的耦合效应,模拟左、右洞在6次爆破开挖下的隧道围岩位移响应,同时进行小净距隧道围岩岩体疲劳损伤声波监测,将爆破振动模拟结果和工程实测岩体疲劳损伤声波监测结果进行比较。分析表明：随着爆破循环开挖的进行,围岩处于稳定状态,在排除爆破加载左洞及右洞先后顺序的影响后,岩体损伤及围岩位移偏移以间柱为对称面呈现一定的对称性。同时,随着爆破掘进进行,隧道围岩监测处距爆破中心距离增大,测点处爆破应力波的强调度降低,围岩岩体疲劳损伤及位移偏移增量减少并最终趋于稳定。     

累积线性法在细长柔性悬臂梁结构分析中的应用

为了研究几何大位移悬臂梁的结构响应,在充分利用线性有限元原理与流程的基础上,本文提出"累积线性法" 来对这一问题进行结构建模与求解策略的探讨,数值计算过程表明：该方法在常规有限元软件平台上十分容易实现,并与常规的"一次线性法" 和"非线性求解" 进行了数值对比. 针对本文问题,不仅从理论上指出"累积线性法" 的合理与可行和"一次线性法" 存在的结果不可信等问题;同时,数值仿真也表明前两种方法得到的结果也是不同的, 前者更接近非线性求解的结果. 最后,给出4 点结论.     

考虑地基侧向永久位移的钢筋混凝土框架结构地震反应分析

定量评价场地破坏对建筑物震害的影响是一个亟需解决的难点问题,现阶段结构震害预测以及灾情再现等震害防御技术中多未考虑场地破坏的影响。地基侧向永久位移（变形）是场地破坏的一种典型破坏形式,往往会引起较严重的建（构）筑物震害。采用OpenSees软件构建一个简化的6层2跨钢筋混凝土框架结构模型,通过输入不同强度且含有永久位移的位移时程,模拟地震中地基侧向永久位移对结构震害的影响。分析结果显示：（1）地基侧向永久位移对结构底层的最大层间位移角起控制作用,即使地基产生0.05 m的侧向永久位移,在地震动强度小于0.4g情况下,底层的最大层间位移角远大于地基未发生永久位移的工况;在地震动强度为0.4g时,结构的最大层间位移角发生在第二层,此时地震动强度决定结构的破坏状态;（2）地基发生0.1 m的永久位移时,永久位移对结构的破坏等级起决定性影响,且影响主要体现在底层的层间位移角,对其他楼层破坏等级影响较小;（3）通过简化模型的数值计算,分析地基侧向永久位移对结构震害等级的影响,解释了地震中场地破坏多会加重房屋结构震害的现象。

     

四种不同约束形式隔板式铅耗能器的试验研究

铅耗能器主要利用金属铅塑性耗能,是一种构造简单、耗能性能优良而又经济的耗能减震元件。本文提出了一种隔板式铅耗能器。根据其构造和耗能原理,设计了四种不同约束形式的耗能元件,并通过EHF-EM电液伺服疲劳试验机进行了低周循环试验,分析了这四种约束形式对隔板式铅耗能器的力学性能与耗能性能的影响,揭示了其耗能机制。研究结果表明:隔板式铅耗能器主要具有屈服位移小、造价低廉、构造简单、工作性能稳定、耗能性能优良的特点,在建筑结构和大型机械减振控制方面具有广泛的应用前景;对比分析表明,其中B型耗能器力学性能尤为优越,耗能能力大且随位移增大刚度增强,同时对结构振动还具有限位功能。     

Effect of Unreinforced Masonry Infill on Floor Amplification and Other Parameters in Frame-Wall Buildings

Frame-shear wall buildings or dual systems are a common form of reinforced concrete building structures. In such systems, shear walls form the primary lateral load-resisting elements intended to carry about 75% of lateral loads. The beam-column frame elements carry the vertical loads and the balance amount of lateral loads. Unreinforced masonry infill panels are common in frame-wall buildings which are incorporated to serve functional purposes. Infill panels are generally not modeled while designing the buildings. However, the influence of infill on the behavior of the building is considerable. In the present study, the response parameters in terms of average floor spectra and roof displacements have been studied in dual system buildings designed as per Unified Performance-Based Design (UPBD) method, with and without masonry infill struts. The UPBD method satisfies both target design drift and performance level simultaneously. Floor spectra are useful in the design of Operational and Functional Components (OFCs) in buildings which are mounted on floors. For the design of OFCs, parameters such as Floor Amplification factor (FAF), Component Amplification Factor (CAF), and Total Amplification Factor (TAF) are important and have been studied here. Frame-wall buildings with two plans and various heights with and without infill struts have been considered for specified target drift and performance levels. It has been observed that floor response diminishes with the incorporation of infill struts. Some important conclusions have been drawn on FEMA provisions.