Semi-analytic Solution of Steady Temperature Fields During Thin Plate Welding

Usually, it is very difficult to find out an analytical solution to thermal conduction problems during high temperature welding. Therefore, as an important numerical approach, the method of lines (MOLs) is introduced to solve the temperature field characterized by high gradients. The basic idea of the method is to semi-discretize the governing equation of the problem into a system of ordinary dif-ferential equations (ODEs) defined on discrete lines by means of the finite difference method, by which the thermal boundary condition with high gradients are directly embodied in formulation. Thus the temperature field can be obtained by solving the ODEs. As a numeri-cal example, the variation of an axisymmetrical temperature field along the plate thickness can be obtained.     

离子束增强沉积TiB2薄膜的耐蚀性能研究

研究了在紫铜基材上用离子束增强沉积法（ＩＢＥＤ）沉积ＴｉＢ２薄膜后，在６００，７００和８００℃的空气中氧化的动力学曲线；在ＩＮＨ２ＳＯ４溶液中，用动电位扫描法测定了其极化曲线和极化阻力，用ＳＥＭ观察了其形貌，用俄歇电子谱仪（ＡＥＳ）分析了膜的成份，用Ｘ－射线衍射仪（ＸＲＤ）研究了膜的微观结构；讨论了ＴｉＢ２薄膜具有优良耐蚀性的机理。     

Motion equations of hemispherical resonator and analysis of frequency split caused by slight mass non-uniformity

The mass non-uniformity of hemispherical resonator is one of reasons for frequency split, and frequency split can cause gyroscope to drift. Therefore, it is of great significance to analyze the relationship between mass non-uniformity and frequency split, which can provide a theoretical basis for mass balance of imperfect resonator. The starting point of error mechanism analysis for gyroscope is the motion equations of resonator. Firstly, based on the Kirchhoff-Love hypothesis in the elastic thin shell theory, the geometric deformation equations of resonator are deduced. Secondly, the deformation energy equation of resonator is derived according to the vibration mode and relationship between the stress and strain of hemispherical thin shell. Thirdly, the kinetic energy equation of resonator is deduced by the Coriolis theorem. Finally, the motion equations of resonator are established by the Lagrange mechanics principle. The theoretical values of precession factor and natural frequency are calculated by the motion equations, which are substantially consistent with the ones by the finite element method and practical measurement, the errors are within a reasonable range. Simultaneously, the varying trend of natural frequency with respect to the geometrical and physical parameters of resonator by the motion equations is consistent with that by the finite element analysis. The above conclusions prove the correctness and rationality of motion equations. Similarly, the motion equations of resonator with mass non-uniformity are established by the same modeling method in case of ignoring the input angular rate and damping, and the state equations with respect to the velocity and displacement of vibration system are derived, then two natural frequencies are solved by the characteristic equation. It is concluded that one of reasons for frequency split is the 4th harmonic of mass non-uniformity, and thus much attention should be paid to minimizing the 4th harmonic of mass non-uniformity in the course of mass balancing for imperfect resonator.     

硅基底上外延生长过渡金属硅化物薄膜的研究

过渡金属与硅的接触系统一直被人们所关注,是因为它们在界面处具有肖特基势垒的形成、过渡金属硅化物的外延生长、制作器件的稳定和耐高温等重要性.因此在硅基底上形成金属硅化物薄膜也被广泛应用于半导体工业.对硅衬底上蒸发的Cr、Fe、Mn薄膜进行热处理,通过固相反应法(SPR)制备过渡金属硅化物薄膜,即经过对过渡金属硅化物(薄膜)/Si系统进行各种温度、不同时间的热处理,制备出各种过渡金属硅化物薄膜.对于制成的各种硅化物薄膜,用X射线衍射法(XRD)和软X射线发射分光光谱法(SXES)对它们的组成成分进行了分析和确认.并且,由这两种分析方法表明:各种过渡金属硅化物薄膜在硅衬底上各形成了单一相的均匀层硅化物薄膜.     

自由边界抛物薄壳的模态振型函数

基于membrane理论,推导出一组完全满足抛物薄壳自由边界条件的模态振型函数.通过模态分析实验得到自由边界抛物薄壳的低阶模态实验振型,将实验振型与有限元分析振型及依据模态振型函数所得到的理论振型进行对比,三者能够较好的吻合,表明所推导的模态振型函数可正确描述抛物薄壳的模态形状.     

薄壁管壳高速正撞击穿孔特性的数值研究

受径向曲率的影响,薄壁管壳遭受高速弹丸撞击产生的局部穿孔毁伤与薄板结构并不相同。本文利用LS-DYNA3D动力学程序,采用光滑粒子流体动力学和有限元法相耦合的方法(SPH-FEM),对球形弹丸高速正撞击不同直径薄壁钢管的穿孔毁伤特性进行数值研究。根据小弹丸高速撞击薄板的物理力学性质,可把穿孔过程简化为初始流动扩孔和随后的惯性扩孔两个阶段,提出一种圆柱管壳高速正撞击穿孔的简化物理模型,并分析圆管直径对轴向孔径和径向孔径尺寸差值比的影响。数值模拟结果表明,撞击速度为2~3 km/s时,薄壁钢管的正撞击穿孔略呈椭圆状,其轴向孔径尺寸稍大于径向孔径尺寸;随着薄壁钢管直径的增加,两个方向的孔径尺寸差值比减小。另外,薄壁钢管遭受小弹丸撞击穿孔后产生碎片云的分布形态受径向直径影响明显,相同撞击条件时,钢管直径越大,则产生碎片云的膨胀角和残余速度也较大。     

一种半球谐振陀螺谐振子动力学建模方法

准确完备的半球谐振陀螺（HRG）谐振子动力学模型是陀螺误差分析的基础。为建立半球壳谐振子动力学模型,基于弹性力学薄壳理论,提出了一种谐振子动力学建模方法。首先,在薄壳的弹性力学几何方程基础上,推导了半球壳谐振子的变形几何方程。其次,在提高受力分析计算精度的基础上,推导了半球壳谐振子的物理方程。然后,分析了谐振子中面的受力平衡关系,推导了谐振子的平衡微分方程。最后,基于以上对整个谐振子的动力学分析,建立了谐振子动力学方程。根据谐振子的不同外载荷形式,利用布勃诺夫-伽辽金法求解得到谐振子2阶谐振状态动力学模型,并得到了谐振子比例系数和2阶谐振频率的表达式。通过对比验证可以看出,参数计算值与实测数据结果一致,证明了所建立的动力学模型的准确性。     

非晶态铁硼薄膜的平面霍耳效应

对于用射频溅射法制得的Fe_(83)B_(17)薄膜进行了平面霍耳效应的研究。实验表明:厚度大于800(?)的薄膜测量结果与导出的公式符合良好,且平面霍耳电压V_H的磁滞回线有轴对称性,但对较薄的膜则出现对公式的偏离并失去对称性。V_H的幅值可达500μV,开关临界磁场为22×10~(-4)T,晶化以后薄膜的V_H减小约一个数量级。利用平面霍耳效应测量了薄膜的静态磁特性。     

二维涡格法的超收敛性

本文提出并研究了二维涡格法的超收敛性。在离散化误差分析中,与薄翼理论的二维平板精确解进行比较,根据Chebychev多项式理论,导出了涡格法中具有超收敛性的离散化格式。并证明了这种离散化格式对二维抛物弧板和三次曲线弧板等问题也具有超收敛性。     

基于非线性几何场论求解热弹性板大挠度弯曲的BEM法

基于理性力学非线性几何场理论,建立了热弹性薄板等效速率形式的Ｋａｒｍａｎ方程,通过将热弹性薄板大挠度弯曲问题看成平板弯曲问题与平面大变形问题的耦合,在固定坐标系及拖带坐标系上推导出两组边界积分方程,从而建立起新的分析热弹性薄板大挠度弯曲的边界元法。算例表明本文方法理论可靠、精度高。