刚柔耦合建模理论的实验验证

传统的混合坐标建模理论是零次近似方法，对刚柔耦合问题的描述存在缺陷，研究以一个由中心刚体，柔性梁及末端质量组成的刚柔耦合系统对象，建立了精确的一次近似的刚柔耦合动力学方程，在该模型中计及了结构阻尼及风阻的影响，利用单轴气浮台动力学实验平台，通过与实验数据的比较，说明了传统零次近似方法在某些条件下已不能下确描述柔性的刚性正确性和可靠性。     

The Electron－Hole Pair in a Single Quantum Dot and That in a Vertically Coupled Quantum Dot

The energy spectra of low-lying states of an exciton in a single and a vertically coupled quantum dots are studied under the influence of a perpendicularly applied magnetic field. Calculations are made by using the method of numerical diagonalization of the Hamiltonian within the effective-mass approximation. We also calculated the binding energy of the ground and the excited states of an exciton in a single quantum dot and that in a vertically coupled quantum dot as a function of the dot radius for different vaJues of the distance and the magnetic field strength.     

基于贝叶斯序贯方法的微波效应实验设计

提出了一种基于贝叶斯验后概率的序贯检验方法,建立了检验的判别准则,给出了判别准则临界值的计算方法。在给定截尾实验次数的条件下,提出了一种截尾方案,建立了截尾判断方法。将其用于解决验证效应物在微波作用下失效概率达到给定水平的微波效应实验设计问题,给出了相应的实验方案和所需样本量的估计。最后,通过实例对上述方法的应用过程进行了说明,并和现有方法进行了分析比较。     

A Remark on the Use of Differential Forms for the Skyrme Problem

We introduce a formulation of the Skyrme problem using differential forms. By means of this formulation, we prove first that the homothetic map between the standard three-sphere of radius R, S³ _r R⁴, and S³ ₁ is the unique minimizer, modulo isometries, of the Skyrme energy in its homotopy class, for any R less than some critical value R₀ (3/2, 2]. We then establish a stability result for this Skyrme-form problem from which we can recover the result of M. Loss and N. S. Manton which states that this homothetic map is stable only up to R = 2.     

有机化学创新设计性实验“甲基化反应”的改进*

结合科研成果及实验教学经验,对有机化学实验中传统的甲基化反应实验进行改进。教材中涉及的传统甲基化试剂具有毒性大等缺点,不利于实验教学的实施。因此,提出使用三氟乙酸甲酯取代传统甲基化试剂,应用于本科有机化学实验教学中,加强学生对甲基化反应理论知识的理解。本实验结合新颖的科研内容,引入科研实验的设计思路,不仅有利于学生更好地掌握理论知识,而且有利于激发学生对科学研究的兴趣,提高学生的综合素养。     

氯气的制取与性质实验绿色化设计

针对氯气有毒及其与金属反应易于泄露等实验不足,设计了氯气制取、氯气与金属反应和氯水成分探究的全封闭实验。其中,氯气与金属的反应采用原位电加热的方式,加热速度快,金属在氯气中的燃烧现象明显,且能快速识别产物,有效地消除了因加热带来的氯气泄露问题;氯水成分的探究是通过青霉素瓶在封闭条件下进行的。整个实验仪器常规,装置简单,药品用量少,操作容易,现象明显,安全无污染,非常适合课堂演示。     

Realization of fractional-order Liu chaotic system by circuit

In this paper, chaotic behaviours in the fractional-order Liu system are studied. Based on the approximation theory of fractional-order operator, circuits are designed to simulate the fractional- order Liu system with $q=0.1-0.9$ in a step of 0.1, and an experiment has demonstrated the 2.7-order Liu system. The simulation results prove that the chaos exists indeed in the fractional-order Liu system with an order as low as 0.3. The experimental results prove that the fractional-order chaotic system can be realized by using hardware devices, which lays the foundation for its practical applications.     

块状LaNi5基纳米合金的正电子湮灭研究

利用高温高压技术，在不同的压力和温度(-4．5GPa，-800℃)下将LaNi5基快淬合金粉直接压制成了块状纳米晶合金。X射线衍射分析表明，高压使其晶粒内部发生了明显的压致晶粒碎化，其平均晶粒尺寸在4．5GPa下从75．5nm降至24．6nm。利用正电子湮灭技术研究了这种晶粒碎化效应对纳米合金内部缺陷结构的影响。测试结果表明，在高温高压的作用下，由于界面上原子的迁移和弛豫加剧，导致晶界上尺寸较大的微孔隙缺陷逐渐转化为尺寸较小的自由体积缺陷，使得纳米合金的致密度逐渐增强，显微硬度逐渐升高，从而在高温高压下得到致密的块状纳米合金材料。     

Construction of sliced (nearly) orthogonal Latin hypercube designs

Sliced Latin hypercube designs are very useful for running a computer model in batches, ensembles of multiple computer models, computer experiments with qualitative and quantitative factors, cross-validation and data pooling. However, the presence of highly correlated columns makes the data analysis intractable. In this paper, a construction method for sliced (nearly) orthogonal Latin hypercube designs is developed. The resulting designs have flexible sizes and most are new. With the orthogonality or near orthogonality being guaranteed, the space-filling property of the resulting designs is also improved. Examples are provided for illustrating the proposed method.     

A new 4-D non-equilibrium fractional-order chaotic system and its circuit implementation

A new 4-D fractional-order chaotic system without equilibrium point is proposed in this paper. There is no chaotic behavior for its corresponding integer-order system. By computer simulations, we find complex dynamical behaviors in this system, and obtain that the lowest order for exhibiting a chaotic attractor is 3.2. We also design an electronic circuit to realize this 4-D fractional-order chaotic system and present some experiment results.