TRANSIENT TORSIONAL WAVE IN FINITE HOLLOW CYLINDER WITH INITIAL AXIAL STRESS

An analytical solution is obtained for transient torsional vibration of a finite hollow cylinder with initial axial stress. The cylinder is subjected to dynamic shearing stress at the internal surface and is fixed at the external surface. The basic equations are presented and the solution is obtained by means of Fourier series expansion technique and the separation of variables method. The effects of the initial stress on the natural frequencies and transient torsional responses are presented and discussed.     

PARALLEL FINITE ELEMENT ANALYSIS OF HIGH FREQUENCY VIBRATIONS OF QUARTZ CRYSTAL RESONATORS ON LINUX CLUSTER

Quartz crystal resonators are typical piezoelectric acoustic wave devices for frequency control applications with mechanical vibration frequency at the radio-frequency （RF） range. Precise analyses of the vibration and deformation are generally required in the resonator design and improvement process. The considerations include the presence of electrodes, mountings, bias fields such as temperature, initial stresses, and acceleration. Naturally, the finite element method is the only effective tool for such a coupled problem with multi-physics nature. The main challenge is the extremely large size of resulted linear equations. For this reason, we have been employing the Mindlin plate equations to reduce the computational difficulty. In addition, we have to utilize the parallel computing techniques on Linux clusters, which are widely available for academic and industrial applications nowadays, to improve the computing efficiency. The general principle of our research is to use open source software components and public domain technology to reduce cost for developers and users on a Linux cluster. We start with a mesh generator specifically for quartz crystal resonators of rectangular and circular types, and the Mindlin plate equations are implemented for the finite element analysis. Computing techniques like parallel processing, sparse matrix handling, and the latest eigenvalue extraction package are integrated into the program. It is clear from our computation that the combination of these algorithms and methods on a cluster can meet the memory requirement and reduce computing time significantly.     

DUAL RECIPROCITY HYBRID BOUNDARY NODE METHOD FOR THREE-DIMENSIONAL ELASTICITY WITH BODY FORCE

Combining Dual Reciprocity Method （DRM） with Hybrid Boundary Node Method （HBNM）, the Dual Reciprocity Hybrid Boundary Node Method （DRHBNM） is developed for three-dimensional linear elasticity problems with body force. This method can be used to solve the elasticity problems with body force without domain integral, which is inevitable by HBNM. To demonstrate the versatility and the fast convergence of this method, some numerical examples of 3-D elasticity problems with body forces are examined. The computational results show that the present method is effective and can be widely applied in solving practical engineering problems.     

固体核磁共振结合密度泛函理论计算研究SSZ-39分子筛的钠离子落位与铝分布

具有AEI结构的SSZ-39分子筛的骨架外阳离子落位和铝分布对其催化性能影响显著.AEI笼中有三个结晶学不等价位,且铝取代T位具有一定的倾向性.本文结合固体核磁共振（NMR）技术（²⁷Al/²³Na MQ MAS NMR）,以及密度泛函理论（DFT）计算,研究了不同硅铝比Na-SSZ-39分子筛中的Na⁺落位和铝分布.在孤立铝分布的情况下,铝原子优先占据于T3位,Na⁺主要落位于AEI笼中的SIIa0和SIII'a0位点上,其中SIII'a0位点的优先度较高,此外少部分Na⁺还落位于六棱柱内部的SIa0.当铝对存在时,AlSiSiAl分布的铝对占据六元环的对位（T3-T3）,对应的Na⁺分别落位于SIIa1和SⅢ'a1位点.随着分子筛结构的部分破坏,游离的Na⁺可能形成明显的SIII'b位点.本文可加深对SSZ-39分子筛构效关系的理解,为更好地调控催化性能奠定基础.     

束靶耦合传感器光学及机械设计

利用共轭原理设计了用于惯性约束聚变的束靶耦合传感器,不仅解决高精度打靶,同时避免模拟准直光在瞄准过程中直接辐照实验靶。根据束靶耦合传感器的设计功能和工作原理,进行系统的光学设计和机械结构设计,通过成像实验采集的图像光学分辨力达到6 m,束靶耦合精度8.8 m。该束靶耦合传感器已经成功应用于神光-Ⅲ原型装置,通过针孔相机采集的四孔CH靶图像,统计计算得到装置的打靶精度优于25 m,满足设计打靶的束靶耦合精度的指标。     

腔内双压电变形镜光强分布优化

报道了把20单元双压电变形镜作为闪光氪灯泵浦的Nd:YAG激光器的腔镜,优化激光器输出光束远场强度分布的实验结果。变形镜由随机并行梯度下降算法控制,以相机采集到的激光束远场环围能量作为算法的评价指标,控制双压电变形镜的面形向远场能量分布更加集中的方向变化。结果表明：系统在20 s内将远场光斑中的多个亮斑校正为单个亮斑,峰值光强与优化前相比提高了5倍;在腔镜倾斜较大时,实验系统将激光器的输出功率由0.006~0.051 W提升至0.330 W,验证了实验系统的有效性。     

高速电枢的尾翼结构设计及实验研究

设计了T2LXD1系列电枢,分析了6061-T6铝合金材料的弹塑性特点,利用线性强化理论和接触理论并结合ANSYS软件,建立了T2LXD1系列电枢弹塑性接触模型,研究了电枢尾翼结构对电枢/导轨滑动界面接触状态的影响规律,得到了界面接触力、接触面积和接触压力分布等状态参数的数值模拟结果。利用短导轨电磁驱动系统,进行了T2LXD1系列电枢滑行实验,分析了电枢/导轨界面滑磨状态,比较了滑行性能曲线。实验结果表明:长尾翼电枢并不能带来实际接触面积的增     

我国工程中边界元法研究的十年

边界元法的研究在我国开始于一九七八年,十年来取得了很大进展.这篇综述包括七个研究领域:(1)固体力学,(2)动力学问题,(3)流体流动、热传导及其他场问题,(4)流体结构相互作用问题的一些工程分析方法,(5)边界元-有限元耦合法,(6)工程中边界元法的一些数学和数值方法问题,(7)一些工程应用.作者简要地介绍了清华研究小组的工作,并力图给出我国有关工程研究十年发展的一个概貌....     

关于《弹性稳定》教学中若干论点的讨论(一)基本概念

弹性稳定在实际工程中是个重要的课题,诸如航空、土建、船舶、海洋以及其它许多专业都会遇到各种类型的失稳问题,同时稳定定义对于初学者来说又是个难于理解的新概念,历来同学学习本课题时都是个难点而且又容易与以前习惯的强度刚度相混淆.加之...     

双吡唑啉酮类螯合剂1,6-双[4'-(1'-苯基-3'-甲基-5'-氧代)吡唑啉基]-1.6-已二酮与铀、钍固体配合物合成及表征

本文报道了1,6-双[4'-(1'-苯基-3'-甲基-5'-氧代)吡唑啉基]-1,6-已酮与铀、钍固体配合物的组成。从红外光谱、质子核磁共振谱、差热曲线及微分热重曲线的数据, 得到了其配位状态方面信息。