PARAMETRIC STUDY FOR AN EFFICIENT MESHLESS METHOD IN VIBRATION ANALYSIS

Based on the moving least-squares (MLS) approach, an efficient meshless method is employed to generate the displacement functions for vibration analysis of elastic bodies. The equation of motion is established by following the standard procedure and the boundary conditions are imposed by applying penalty functions. As the displacement functions are expressed in terms of weight functions, the accuracy will depend on the parameters of the weight functions. Therefore, a parametric study is carried out to determine the best values for these parameters. To demonstrate the accuracy, modal analyses of the beams and plates with different boundaries have been carried out. In addition, the responses of these structures under dynamic excitation have been analyzed. The examples include simply supported beams subjected to sudden excitations and simply supported plates subjected to initial displacements.     

FREE VIBRATION ANALYSIS OF A SPINNING FLEXIBLE DISK-SPINDLE SYSTEM SUPPORTED BY BALL BEARING AND FLEXIBLE SHAFT USING THE FINITE ELEMENT METHOD AND SUBSTRUCTURE SYNTHESIS

Free vibration of a spinning flexible disk-spindle system supported by ball bearing and flexible shaft is analyzed by using Hamilton's principle, FEM and substructure synthesis. The spinning disk is described by using the Kirchhoff plate theory and von Karman non-linear strain. The rotating spindle and stationary shaft are modelled by Rayleigh beam and Euler beam respectively. Using Hamilton's principle and including the rigid body translation and tilting motion, partial differential equations of motion of the spinning flexible disk and spindle are derived consistently to satisfy the geometric compatibility in the internal boundary between substructures. FEM is used to discretize the derived governing equations, and substructure synthesis is introduced to assemble each component of the disk-spindle-bearing-shaft system. The developed method is applied to the spindle system of a computer hard disk drive with three disks, and modal testing is performed to verify the simulation results. The simulation result agrees very well with the experimental one. This research investigates critical design parameters in an HDD spindle system, i.e., the non-linearity of a spinning disk and the flexibility and boundary condition of a stationary shaft, to predict the free vibration characteristics accurately. The proposed method may be effectively applied to predict the vibration characteristics of a spinning flexible disk-spindle system supported by ball bearing and flexible shaft in the various forms of computer storage device, i.e., FDD, CD, HDD and DVD.     

光纤近红外光谱法在中草药分析中的应用——甘草中甘草酸含量的测定

提出光纤近红外光谱技术在线和快速检测中药甘草中有效成分甘草酸含量的方法。对含甘草酸浓度在0.94%～3.06%内的甘草,根据其在10 000～4 000 cm-1的近红外吸收光谱, 采用偏最小二乘算法(PLS)和主成分回归算法(PCR)建立了校正模型,比较了光谱不同前处理方法对校正结果的影响,当采用数据标准化并求一阶导前处理时可较好提取中药复杂体系的信息。当采用PLS算法时,校正集相关系数为0.958,校正集标准偏差(SEC)为0.179,验证集标准偏差(SEP)为0.197,PLS算法优于PCR算法。该方法快速和简便,适合于中药有效成分在线监控。     

First observation of double-twisted helical structure in a banana-shaped achiral molecule

The double-twisted helical structure was confirmed for the first time for the smectic phase of a banana-shaped molecular system from observation of the microscopic pattern. Optically polarized microscopic textures and phase transitions of 1,3-phenylene bis\[4-(3-chloro-4- n-octyloxyphenyliminomethyl) benzoate (PBCOB) and related compounds are described. The chloro-substituent introduced into the 3-position of the Schiff's base moiety of the banana-shaped molecule destabilized the smectic phase and enhanced new mesomorphic properties. The mesophases exhibited by the octyloxy homologue of the chloro-substituted compound were of the smectic phases, SmX1 and SmX2. The mixing behaviour between chloro-substituted and non-chloro-substituted compounds resulted in the appearance of a wide miscibility gap and enlargement of the SmX1 phase which can be seen in a lateral chloro-substituted compound.     

On inverses and algebraic loops of co-H-spaces

In this paper we study the properties of homotopy inverses of comultiplications and algebraic loops of co-H-spaces based on a wedge of spheres. We also investigate a method to construct new comultiplications out of old ones by using a group action. We are primarily interested in the algebraic loops which have inversive, power-associative and Moufang properties for some comultiplications.     

音调脉冲准确定位的新方法

本文叙述一种语言信号处理的新方法——快速递归梯型算法。用算符分解的办法导出这种算法自回归（AR）模型的基本公式及其归一化方案。说明导出参数快速收敛和跟踪的性能;研究如何应用它的基本参数（似然变量、反射系数和预测误差的协方差等）来检测音调脉冲,爆破音和其他快速过渡特性。同时给出了合理的掩蔽参数,设计一个有效的自适应门限的局部极值选定算法,从而消除从原参数产生的多余信息和误差。这一音调检测算法已应用到一个可变数据率（平均800bits/s）的声码器的模拟设计中,得到相当满意的结果。
另外这种算法要求极少的存贮和简单的算术运算,便于硬件实现,尤宜VLSI的实现。     

自由曲面光学透镜注射成型误差因素研究

自由曲面光学透镜注射成型误差对其光学性能将产生直接影响。注射成型过程中，注射工艺参数组合的优劣，直接影响成型误差的大小。为了获得高精密度的光学元件，就热塑性塑料的注射温度、模具温度、注射压力、保压压力及保压时间等主要工艺参数，对注射成型误差的影响进行综合研究,并且进行了实验验证。研究结果表明：适当提高注射温度与模具温度，同时采用高压注射、高压保压以及快速保压工艺，可显著降低注塑工件的体积收缩率，显著提高面形精密度，其光学表面面形误差小于0.1μm。可为注射工艺设计提供合理的依据。