粉末固相氯化聚乙烯结构的研究

本工作用核磁共振、红外光谱、裂解气相色谱和示差扫描量热等技术研究了粉末固相氯化聚乙烯(CPE)的结构。结果表明,在氯含量达到50%以前的氯化过程是受阻型取代机理,所得CPE的分子链主要以—CH₂—和—CHCl—基团组成;在氯含量超过50%以后,有—CCl₂—基团产生,但量极少,反应机理较为复杂。氯化后试样的结晶性能的变化不同于水相悬浮氯化的产物,亦不同于溶液氯化的产物。     

单驱动器变形镜对低阶像差补偿能力的研究

变形镜能够实时校正波前相位畸变,减弱大气湍流的影响,是自适应光学系统的核心器件。单驱动器变形镜通过1个驱动器产生1个模式,恢复波前相位。利用有限元软件,研究了单驱动器变形镜对低阶像差的补偿能力。仿真结果表明,单驱动器变形镜可以对离焦、像散及彗差进行有效补偿,通过控制驱动器的位移,分别实现了对PV值为5 m的离焦、像散和慧差的补偿,补偿后的残差PV值分别为1.5 m、1.6 m和1.2 m,残差的RMS值分别为0.99 m、0.63 m和0.59 m。     

Consistent Riccati expansion solvable classification and soliton-cnoidal wave interaction solutions for an extended Korteweg-de Vries equation

In this paper, we consider an extended Korteweg-de Vries (KdV) equation. Using the consistent Riccati expansion (CRE) method of Lou, the extended KdV equation is proved to be CRE solvable in only two distinct cases. These two CRE solvable models are the KdV-Lax and KdV-Sawada-Kotera (KdV-SK) equations. In addition, applying the nonauto-Bäcklund transformations which are provided by the CRE method, we present the explicit construction for soliton-cnoidal wave interaction solutions which represent a soliton propagating on a cnoidal periodic wave background in the KdV-Lax and KdV-SK equations, respectively.     

中央空调冷却水系统节能优化控制研究

根据中央空调冷水机组和冷却水系统各设备的现有功耗模型,拟合实验中采集到的有关数据,包括:系统负荷、冷水机组冷却水进水温度、冷却水泵流量和冷却塔风机运行频率,建立总功率的一般优化方程;采用BFGS变尺度优化算法算出不同条件下的能耗最小工况,并以此来控制冷却水系统设备;结果表明,该方法具有实现方便、节能效果显著的特点。     

射流式水冷镜换热性能及在高能化学激光器中的应用

加工了射流式水冷铜镜模型,采用红外热像仪测量了冷却过程中镜面温度分布云图,证明了射流式水冷镜冷却的均匀性。采用热电偶较精确地测量了铜镜冷却过程中镜面温度的变化,实验结果与数值模拟吻合较好,验证了射流式水冷镜数值模型的可靠性。结合高能化学激光器中水冷镜实际情况,对直线沟槽型水冷镜和射流式水冷镜的形变特性进行了分析。计算结果表明,高能化学激光器水冷镜必须承压加工才能使用,射流式水冷镜可以很好地应用于高能化学激光器。此外,进一步分析了冷却孔直径和数量这两个参数对大口径射流式水冷镜形变的影响,结果表明:在孔数一定的情况下,采用更大口径的冷却孔,镜面冷却速度快、镜面最大温度低,可以获得更小的镜面形变;采用更多的冷却孔可以获得更好的冷却效果。     

Zinc Ion Uniquely Induced Triple Shape Memory Effect of Dipole–Dipole Reinforced Ultra‐High Strength Hydrogels

In this study, we demonstrate that dipole–dipole interaction can be employed to not only tremendously enhance the mechanical properties of hydrogel, but also impart the gel to an amazing ability to memorize two temporary shapes. Cross‐linked hydrogels synthesized by copolymerization of acrylonitrile, a dipole–dipole containing monomer and hydrophilic comonomer are shown to exhibit triple shape memory (SM) triggered by the dynamic association and dissociation of dipole–dipole pairing between cynao groups uniquely responding to zinc ion species and concentration. This approach contributes to design and fabrication of novel SM hydrogels in a distinct way from conventional SM materials.     

关于(a,a,b)类型的三维除数问题

本文研究（ａ,ａ,ｂ）类型的三维除数问题,通过把此问题和熟知的Ｄｉｒｉｃｈｌｅｔ问题相联系并估计余项的新形式,我们得到了更好的结果。     

On the Average Number of Unitary Factors of Finite Abelian Groups (II)

Let t(G) be the number of unitary factors of finite abelian group G. In this paper we prove T(x)=∑ _|G|≤x t(G) = main terms for any exponent pair (κ1/2 + 2κ), which improves on the exponent 9/25 obtained by Xiaodong Cao and the author. Received December 8, 1998, Revised April 27, 1998, Accepted June 12, 1998     

由分子的价电子总数判断中心原子轨道杂化方式的方法

提出了由分子的价电子总数判断中心原子轨道杂化方式的方法,探讨了该方法的理论依据,分析、归纳出了等电子分子系列中原子轨道杂化方式的周期性变化规律。     

On Sums of Two Coprime k-th Powers(II)

For fixed k ≥ 3, let E_k(x) denote the error term of the sum ?_{n ￡ x}r_k(n)\sum_{n\le x}\rho_k(n) , where r_k(n) = ?_{n=|m|^k+|l|^k, g.c.d.(m,l)=1}\rho_k(n) = \sum_{n=|m|^k+|l|^k, g.c.d.(m,l)=1} 1. It is proved that if the Riemann hypothesis is true, then E₃(x) << x^331/1254+eE_3(x)\ll x^{331/1254+\varepsilon} , E₄(x) << x^37/184+eE_4(x)\ll x^{37/184+\varepsilon} . A short interval result is also obtained.