浸没的球面各向同性球壳自由振动的中厚壳理论

采用六模态的中厚壳理论研究了可压缩流体中球面各向同性球壳的自由振动，即在分析中考虑了剪切变形，旋转惯量和横向正应变的影响，引入５个辅助变量可以理到两类振动及其频率方程，对频率方程作了简化并算例进行了相应的探讨。     

5-甲基水杨醛缩对氨基水杨酸席夫碱的合成、表征及性质

用5-甲基水杨醛和对氨基水杨酸为原料,合成了一种新型席夫碱,用元素分析、IR、1 H NMR、MS验证其结构.采用荧光光谱法研究该化合物与牛血清白蛋白(BSA)的相互作用机制,采用位点结合模型公式、热力学公式求解出不同温度下的结合常数、结合位点数、热力学参数,得出其淬灭机制为静态淬灭,结合位点数为1,作用力类型为氢键和范德华力.     

A penny-shaped crack in a transversely isotropic piezoelectric solid: Modes II and III problems

An exact analysis of the modes II and III problems of a pennyshaped crack in a transversely isotropic piezoelectric medium is performed in this paper. The potential theory method is employed based on the general solution of three-dimensional piezoelasticity and the four harmonics involved are represented by one complex potential. Previous results in potential theory are then utilized to obtain the exact solution that is expressed in terms of elementary functions. Comparison is made between the current results with those published and good agreement is obtained. The project supported by the National Natural Science Foundation of China (No. 19872060)     

横观各向同性弹性层点力解

本文根据弹性层状结构的传递矩阵法思想，由横观各向同性弹性力学基本方程，导出了含应力和位移两类变量的混合方程，利用Ｆｏｕｒｉｅｒ变换和文献［７］的位移函数通解，以及计算机代数软件，得到了横观各向同性层的点力解，这个点力解可直接退化到各同性情形的解．     

Synthesis and structure of an air-stable bis(pentamethylcyclopentadienyl) zirconium pentafluorbezenesulfonate and its application in catalytic epoxide ring-opening reactions

An air-stable mononuclear complex of bis(pentamethylcyclopentadienyl) zirconium pentafluorbezenesulfonate was successfully synthesized by treating C₆F₅SO₃Ag with [(CH₃)₅Cp]₂ZrCl₂, which showed the cationic uninuclear structure of [{(CH₃)₅Cp}₂Zr(CH₃CN)₂(H₂O)][OSO₂C₆F₅]₂·CH₃CN (1) confirmed by the X-ray analysis. Complex 1 was also characterized by other techniques and found to have the good nature of air-stability, water tolerance, thermally-stability and strong Lewis-acidity. Moreover, the complex showed high catalytic activity and recyclability in catalytic epoxide ring-opening reactions by amines or alcohols. This catalytic system affords a simple and efficient approach for synthesis of β-amino alcohols or β-alkoxy alcohols.     

轴对称界面端的扭转问题

基于弹性力学轴对称扭转问题的通解,研究了具有任意几何形状的双材料轴对称界面端,给出了界面端的应力奇异性及其附近的位移场和奇应力场,定义了扭转问题的Ｄｕｎｄｕｒｓ双材料参数。研究结果表明,应力奇异性只与界面端的结合角和扭转问题的Ｄｕｎｄｕｒｓ双材料参数有关,而与界面的角度以及界面端与对称轴之间的距离无关,在任何情况下,特征值均为实数,不会产生振荡应力奇异性。     

斜向通道雷电电磁场远场近似特性

为了使雷电电磁场的计算更加接近实际情况,并对远场区雷电电磁脉冲场进行模拟,利用偶极子理论对斜向放电通道雷电电磁场解析表达式进行了求解,用解析方法对地表雷电电磁场及其导数在远场区的一阶、二阶近似表达式进行了推导,得到了电磁场及其导数与通道底部电流及其导数的远场近似关系。采用脉冲函数表示通道基电流,对比了精确表达式与近似表达式计算的电磁场及其导数波形。结果表明在远场区,斜向通道雷电电磁场波形与其近似波形的偏差、电磁场导数波形与其近似导数波形之间的偏差均随着距离的增加而减小,且电磁场导数近似公式要比电磁场近似公式适用范围更加广泛。计算结果验证了解析推导近似的可行性。     

On the relationship between the lightning electromagnetic field and the channel-base current based on the TL model

A set of approximation expressions relating the lightning channel-base current and the lightning electric and magnetic fields on earth surface are proposed respectively in the near-zone and far-zone, by employing the transmission line (TL) model. The derived expressions show that, the electric and magnetic fields waveforms can be expressed approximately by the channel-base current waveform with different factors at a certain distances, whether in the near-zone or far-zone. The factors can be expressed in terms of the return stroke wavefront speed v, the speed of light c, and the horizontal distance r between the return-stroke channel and the observation point.     

正交各向异性功能梯度圆柱壳的自由振动

利用从弹性力学的三维基本方程导得的状态方程，结合层合近似模型，求得了柱型正交各向异性功能梯度圆柱壳的自由振动频率，给出了数值算例，并与前人结果作了比较，文末讨论了相关参数的影响。     

纤维端部的界面裂纹分析

基于弹性力学空间轴对称问题的通解,研究了短纤维增强复合材料中纤维端部的轴对称币形和柱形界面裂纹尖端的应力奇异性,得到了裂纹尖端附近的奇异应力场．研究结果表明,这两种轴对称界面裂纹尖端的应力奇异性相同,并且与平面应变状态下相应模型的应力奇异性一致,材料性能对裂纹尖端附近奇异应力场的影响可用三个组合参数描述