高阶微分中值定理及其应用

利用向量形式的微分中值定理,把一阶微分中值定理推广到全新的高阶微分中值定理,并研究了它的应用．     

拟塑性流体理论中一类奇异非线性边界值问题

研究了起源于拟塑性流体理论中的一类奇异非线性两点边界值问题正确的存在性和唯一性。     

2,3-二羟基哌嗪与几种氨基化合物的缩合反应研究

由乙二胺与乙二醛的缩合物２,３－二羟基哌嗪,分别与甲酰胺、脲和乙二胺反应,制得２,４,７,９,１１,１４－六氮杂三环［８,４,０,０３,８］十四烷六盐酸盐四水合物（１）,２,５,７,９－四氮杂双环［４,３,０］壬－８－酮二盐酸盐－水合物（２）和２,５,７,１０－四氮杂双环［４,４,０］癸烷（３）。化合物１为未见文献报道的新化合物。化合物２的合成工艺条件优化后,反应得率与文献［１］相比有一定提高。化合物３的合成,由于将反应分为低温和高温两个缩合阶段,使反应得率提高到７７．５％。     

大立体角多参数电离室

因重离子核物理研究工作研究,研制成功灵敏区深庶３５ｃｍ的大立体角多参数电离室,可同 量信号△Ｅ、Ｅ和位置信号Ｘ、Ｙ等多项参数。     

The v-v energy transfer of highly vibrationally excited states (I)

The relaxation of the highly vibrationally excited CO (v = 1–8) by CO₂ is studied by timeresolved Fourier transform infrared emission spectroscopy (TR FTIR). 193 nm laser photolysis of the mixture of CHBr₃ with O₂ generates the highly vibrationally excited CO(v) molecules. TR FTIR records the intense infrared emission of CO(v→v-1). The vibrational populations of each level of CO(v) have been determined by the method of spectral simulation. Based on the evolution of the time resolved populations and the differential method, 8 energy transfer rate constants of CO(v = 1–8) to CO₂ molecules areobtained: (5.7±0.1), (5.9±0.1), (5.2±0.2), (3.4±0.2), (2.4±0.3), (2.2±0.4), (2.0±0.4) and (1.8±0.6) (10¹⁴ cm³ · molecule⁻¹ · s⁻¹), respectively. A two-channel energy transfer model can explain the feature of the quenching of CO(v) by CO². For the lower vibrational states of CO, the vibrational energy transfers preferentially to the u³ mode of CO² For the higher levels, the major quenching channel changes to the vibrational energy exchange between CO(v→v-1) and the u¹ mode of CO².     

The v-v energy transfer of highly vibrationally excited states (II)

The vibrational energy transfer from highly vibrationally excited CO to H₂O molecules is studied by time-resolved Fourier transform infrared emission spectroscopy (TR FTIR). Following the 193 nm laser photolysis of CHBr₃ and O₂ the secondary reactions generate CO(v). The infrared emission of CO(v → v−1) is detected by TR FTIR. The excitation of H₂O molecules is not observed. By the method of the spectral simulation and the differential technique, 8 rate constants for CO(v)/H₂O system are obtained: (1.7 ±0.1), (3.4 ±0.2), (6.2 ±0.4), (8.0 ±1.0), (9.0 ±2.0), (12 ±3), (16 ±4) and (18 ±7) (10¹³cm³ · molecule^-1· s^-1). At least two reasons lead to the efficient energy transfer. One is the contributions of the rotational energy to the vibational energy defect and the other is the result of the complex collision. With the SSH andab initio calculations, the quenching mechanism of CO(v) by H₂O is suggested.     

Buckling of a ferromagnetic thin plate in a transverse static magnetic field

An energy theory is proposed on the buckling of a ferromagnetic thin plate in a transverse static magnetic field. The analytic solution of critical field for plates is obtained by using variational method. It is shown that the critical magnetic field is not only influenced by the ratio of the thickness to the length, but also by the width, total length and the magnetic susceptibility of the specimen. Theoretical calculations agree with experiments reasonably.     

U形渠道水跃的试验研究

从理论上推导了Ｕ形渠道的水跃方程。通过模型试验研究了Ｕ形渠道水跃的水流流态和流速分布,测量了跃前、跃后水深和水跃长度,提出了共轭水深、水跃长度和水跃消能率的计算公式。研究表明,Ｕ形渠道的水跃有良好的消能效果,其消能作用优于矩形渠道和梯形渠道,接近于三角形渠道。     

Weibull分布和极值分布场合下简单步进应力加速寿命试验的最优设计

产品的加速寿命试验被用来较快地获得关于产品寿命分布的信息.本文研究了Weibull分布和极小值分布下简单步加试验的最优设计问题.为解决Nelson折算法对极小值分布的数据处理产生特殊情况的问题,作者应用近年来一些新的研究成果,将位置-尺度分布中的尺度参数设为随应力变化的量进行最优设计.给出一实例,并将其推广到更一般的形式.     

开展生命能理论研究，提高人类生存质量

揭示人类生命的奥秘．探求人类生存条件．提高人类生命质量-延长人类寿命是人们共同关注的问题。中日合作、交流．从不同学科领域开拓生命能研究视野．提高研究水平．为人类健康生存做一些有益的探讨。