移动的线源平稳随机荷载激励下梁的随机响应

利用广义Ｄｕｈａｍｅｌ积分和积分变换，研究了粘弹性Ｋｅｌｖｉｎ地基上无限长梁在运动的线源平稳随机荷载作用下的随机响应．发现此时梁的挠度响应为非平稳随机过程．通过引入随动坐标系，建立了有明确物理意义的随动谱分析方法，使随机位移响应在随动坐标系下成为平稳随机过程     

受扰细杆的Melnikov分析

研究了计入Peierls-Nabarro (P-N)力和固体黏性效应的一维金属杆在简谐外力扰动下的动力响应，其位移波的运动规律是Sine-Gordon (SG) 型方程. 采用集结坐标 (collective coordinate)将方程的解设为未扰系统呼吸子解的形式，研究扰动作用下，组成呼吸子的扭结-反扭结波的中心的分离. 通过用集结坐标表示系统的哈密顿量，从而将SG型方程转化为常微分方程组. 分析了未扰系统的异宿轨道，并将之用于Melnikov方法对系统进行分析，给出横截异宿点出现的必要条件，从而预测混沌运动的发生.     

SCATTERING OF CIRCULAR CAVITY IN RIGHT-ANGLE PLANAR SPACE TO STEADY SH-WAVE

Complex function method and multi-polar coordinate transformation technology are used here to study scattering of circular cavity in right-angle planar space to SH-wave with out-of-plane loading on the horizontal straight boundary. At first, Green function of right-angle planar space which has no circular cavity is constructed; then the scattering solution which satisfies the free stress conditions of the two right-angle boundaries with the circular cavity existing in the space is formulated. Therefore, the total displacement field can be constructed using overlapping principle. An infinite algebraic equations of unknown coefficients existing in the scattering solution field can be gained using multi-polar coordinate and the free stress condition at the boundary of the circular cavity. It can be solved by using limit items in the infinite series which can give a high computation precision. An example is given to illustrate the variations of the tangential stress at the boundary of the circular cavity due to different dimensionless wave numbers, the location of the circular cavity, the loading center and the distributing range of the out-of-plane loading. The results show the efficiency and effectiveness of the method introduced here.     

Interlaminar hygrothermal stresses in laminated plates

Within the elasticity formulation the most general displacement field for hygrothermal problems of long laminated composite plates is presented. The equivalent single-layer theories are then employed to determine the global deformation parameters appearing in the displacement fields of general cross-ply, symmetric, and antisymmetric angle-ply laminates under thermal and hygroscopic loadings. Reddy’s layerwise theory is subsequently used to determine the local deformation parameters of various displacement fields. An elasticity solution is also developed in order to validate the efficiency and accuracy of the layerwise theory in predicting the interlaminar normal and shear stress distributions. Finally, various numerical results are presented for edge-effect problems of several cross-ply, symmetric, and antisymmetric angle-ply laminates subjected to uniform hygrothermal loads. All results indicate high stress gradients of interlaminar normal and shear stresses near the edges of laminates.     

Some remarks about the resolution of high velocity flows near low densities

High velocity flows which are exposed to strong rarefaction waves and creating low densities regions in it present difficulties and inaccuracies for numerical resolution. In particular, variables related to the internal energy are wrongly evaluated. Use of classical schemes solving the Euler equations in conservative variables introduces significant errors in the determination of temperature. We recommend to employ a non-conservative formulation of the energy equation. Results found to be more accurate in using the present internal energy formulation. In order to have the formulation available for both shock and strong rarefaction waves, we propose a hybrid formulation of conservative and non-conservative ones, depending on a shock indicator. The results are compared with exact solutions and show a significant improvement of the accuracy. The method is then extended to two-dimensional cases. Received 28 March 1997 / Accepted 18 June 1997     

机载导弹惯性制导装置生产测试工艺研究

从机载导弹惯性制导装置的工厂生产测试的实际情况出发，提出了使用自由方位惯性坐标系作为静止导航测试中的导航参考坐标系，证明了它和以发射点地理坐标系为基础的惯性坐标系的等效性，论证了测试平台所需的调平精度，给出了确定测试指标的算法。这种方法的应用，可节省测试场地的建设经费，提高生产效率。     

3,22-二羟基何伯烷的单晶结构及波谱学数据

利用三异丁基硼氢化锂（L-selectride）试剂还原3-氧代-22-羟基何伯烷得到单一构型的3α,22-二羟基何伯烷和3β,22-二羟基何伯烷.在此基础上,通过X-射线单晶衍射实验确认了3β,22-二羟基何伯烷的绝对构型,并完整归属了该类化合物的¹H和¹³C NMR数据.本文的方法亦可用以制备其他使用常规方法难以分离的α-和β-异构体.     

圆形阵列光电探测系统双目标识别方法

针对双弹丸同时着靶情况下的立靶坐标测量问题,提出一种圆形阵列光电探测系统的双目标识别方法。采用光电探测器件组成1个圆形的探测阵列,并将3个发光角度均为60°的扇形一字线激光器均匀设置于圆形探测阵列上组成探测光幕。当2发弹丸同时穿过探测光幕时,会在圆形探测阵列上产生6个弹丸投影,通过信号处理电路识别6个弹丸投影的中心位置,最后通过系统弹丸着靶坐标测量公式计算得到2发弹丸的着靶坐标。在对系统测量原理进行论述的基础上,建立了系统的弹丸着靶坐标测量模型,并对坐标测量误差进行了分析和仿真。仿真结果显示,系统在测量靶面为1 m×1 m时的X坐标测量误差标准差最大为2.7 mm,Y坐标测量误差标准差最大为0.6 mm。实验结果表明,系统在测量靶面为1 m×1 m时的X坐标测量误差标准差为2.22 mm,Y坐标测量误差标准差为1.98 mm。因此,该文所提出的系统可以有效测量弹径4.5 mm及其以上的双弹丸着靶坐标。     

Moving least squares reconstruction for sharp interface immersed boundary methods

We propose a new approach for reconstructing velocity boundary conditions in sharp-inerface immersed boundary (IB) methods based on the moving least squares (MLS) interpolation method. The MLS is employed to not only reconstruct velocity boundary conditions but also to calculate the pressure and velocity gradients in the vicinity of the immersed body, which are required in fluid structure interaction problems to obtain the force exerted by the fluid on the structure. To extend the method to arbitrarily complex geometries with nonconvex shaped boundaries, the visibility method is combined with the MLS method. The performance of the proposed curvilinear IB MLS (CURVIB-MLS) is demonstrated by systematic grid-refinement studies for two- and three-dimensional tests and compared with the standard CURVIB method employing standard wall-normal interpolation for reconstructing boundary conditions. The test problems are flow in a lid-driven cavity with a sphere, uniform flow over a sphere, flow on a NACA0018 airfoil at incidence, and vortex-induced vibration of an elastically-mounted cylinder. We show that the CURVIB-MLS formulation yields a method that is easier to implement in complex geometries and exhibits higher accuracy and rate of convergence relative to the standard CURVIB method. The MLS approach is also shown to dramatically improve the accuracy of calculating the pressure and viscous forces imparted by the flow on the body and improve the overall accuracy of FSI simulations. Finally, the CURVIB-MLS approach is able to qualitatively capture on relatively coarse grids important features of complex separated flows that the standard CURVIB method is able to capture only on finer grids.