饱和多孔弹性Timoshenko梁的大挠度分析

基于微观不可压饱和多孔介质理论和弹性梁的大挠度变形假设,考虑梁剪切变形效应,在梁轴线不可伸长和孔隙流体仅沿轴向扩散的限定下,建立了饱和多孔弹性Timoshenko梁大挠度弯曲变形的非线性数学模型.在此基础上,利用Galerkin截断法,研究了两端可渗透简支饱和多孔Timoshenko梁在突加均布横向载荷作用下的拟静态弯曲,给出了饱和多孔 Timoshenko梁弯曲变形时固相挠度、弯矩和孔隙流体压力等效力偶等随时间的响应.比较了饱和多孔Timoshenko梁非线性大挠度和线性小挠度理论以及饱和多孔 Euler-Bernoulli梁非线性大挠度理论的结果,揭示了他们间的差异,指出当无量纲载荷参数q＞l0时,应采用饱和多孔Timoshenko梁或Euler-Bernoulli梁的大挠度数学模型进行分析,特别的,当梁长细比λ＜30时,应采用饱和多孔Timoshenko梁大挠度数学模型进行分析.     

裂纹智能梁的三维有限元动力谐响应分析

采用面向结构健康监测应用的压电阻抗模型,对粘贴有压电片的含裂纹梁结构采用三维有限元技术进行了高频压电阻抗谐响应分析.利用通用有限元软件 ANSYS,建立由压电片-粘结层-含裂纹主体梁结构组成的耦合系统的三维有限元模型.并通过算例与振型叠加法和实验得到的结果进行了对比研究,验证了该模型的有效性和准确性.此外,还考察了有限元单元尺寸、振动模态、裂纹深度以及粘结层厚度对压电阻抗信号的影响.     

Unsteady natural convection Couette flow of heat generating/absorbing fluid between vertical parallel plates filled with porous material

The extended Brinkman Darcy model for momentum equations and an energy equation is used to calculate the unsteady natural convection Couette flow of a viscous incompressible heat generating/absorbing fluid in a vertical channel(formed by two infinite vertical and parallel plates) filled with the fluid-saturated porous medium.The flow is triggered by the asymmetric heating and the accelerated motion of one of the bounding plates.The governing equations are simplified by the reasonable dimensionless parameters and solved analytically by the Laplace transform techniques to obtain the closed form solutions of the velocity and temperature profiles.Then,the skin friction and the rate of heat transfer are consequently derived.It is noticed that,at different sections within the vertical channel,the fluid flow and the temperature profiles increase with time,which are both higher near the moving plate.In particular,increasing the gap between the plates increases the velocity and the temperature of the fluid,however,reduces the skin friction and the rate of heat transfer.     

三维自由曲面上特殊点的自然基本矢量

冲击式水轮机的水斗是具有三维自由曲面的几何体,在曲面贴体网格(BFG)上,为了正确分析冲击式水轮机的流动,有必要引用非正交曲线坐标系.本论文介绍了如何得到边界贴体网格点的自然基本矢量 g.在计算基本矢量的过程中,对三个特殊点进行了研究.对这些点的自然坐标矢量运用对角线进行了重新定义,计算后得到了理想的计算结果.     

在高负荷涡轮叶栅中应用弯叶片控制流动分离的实验研究

本文选择叶型折转角为113°和160°的两种高负荷涡轮平面叶栅,分别开展了直叶栅(STR)和正/反弯曲叶栅的流场测量和流动显示研究,讨论了叶片弯曲对壁面流谱和流动损失的影响.实验结果表明:当叶型折转角为113°时,适当的正弯叶片(DHP)可以减少叶栅流动损失;当叶型折转角为160°时,适当的反弯叶片(DHN)能提高叶栅气动性能.     

跨声速轴流压气机动叶弯和掠效应的应用

对一单级跨声速轴流压气机的动叶分别进行了前掠和正弯研究,然后针对前掠和正弯叶片各自所存在的问题分别作了改进.对掠动叶中部的叶型做了二维改型以降低中部的激波强度和分离损失;对弯动叶不同截面叶型的安装角进行调整以消除正弯对动叶出口气流角的影响.最终应用前掠和正弯动叶的压气机的效率得到明显的提高.在对正弯和前掠动叶研究的基础之上,对动叶进行了前掠和正弯相联合的设计以综合利用弯和掠的有利作用.同时对弯掠动叶中部截面的叶型进行了二维改型以降低中部分离损失,并且对不同叶高截面的安装角进行调整以消除对出口气流角的影响.最终应用弯掠动叶的压气机效率和失速裕度都得到显著提高.     

复合夹层梁瞬态响应的谱有限元法

采用谱有限元法进行复合夹层梁的瞬态响应分析．该方法基于复合夹层梁的六阶运动微分方程,以其波动解作为动力位移形函数,根据标准有限元策略来构建复合夹层梁的动刚度矩阵．在频域内,夹心粘弹性材料的频率相关性采用复模量模型来模拟,进而利用快速傅立叶变换技术(FFT),得到时域内复合夹层梁的瞬态响应分析结果．最后以两端固支夹层梁为例,对其进行了矩形脉冲荷载下的动力响应分析,并与通用有限元程序NASTRAN的计算结果进行了对比,两者吻合良好．     

THE STABILITY OF AN AXIALLY ACCELERATING BEAM ON SIMPLE SUPPORTS WITH TORSION SPRINGS

The axially moving beams on simple supports with torsion springs are studied. The general modal functions of the axially moving beam with constant speed have been obtained from the supporting conditions. The contribution of the spring stiffness to the natural frequencies has been numerically investigated. Transverse stability is also studied for axially moving beams on simple supports with torsion springs. The method of multiple scales is applied to the partialdifferential equation governing the transverse parametric vibration. The stability boundary is derived from the solvability condition. Instability occurs if the axial speed fluctuation frequency is close to the sum of any two natural frequencies or is two fold natural frequency of the unperturbed system. It can be concluded that the spring stiffness makes both the natural frequencies and the instability regions smaller in the axial speed fluctuation frequency-amplitude plane for given mean axial speed and bending stiffness of the beam.     

不均匀土中有限长桩的横向瞬态波动

将Timoshenko梁模型引入到弹性地基粱中,土体对桩的作用用连续分布的弹簧来模拟,基于回传射线矩阵法,研究了桩顶受到横向冲击荷载作用下有限长桩的横向瞬态波动．经参数分析表明：土体刚度比对上软下硬、上硬下软两层地基中的有限长桩剪力波和弯矩波影响很大;从挠曲波曲线中难以辨别有无软硬夹层．     

影响地表水总氮测定的因素分析

以长江望龙门、寸滩断面水样和嘉陵江磁器口、大溪沟断面水样为测定样品 ,研究了影响总氮测定的因素。结果表明 ,在测定地表水水样时 ,取样自然沉降时间、过硫酸钾溶液的配制与保存、待测水样 p H值和氧化液处理方式是影响总氮测定的主要因素。