混流式转轮内有旋流动的全三元反问题计算

提出了一种给定Ｖ＿（θｒ）和叶片厚度分布规律的全三元有旋流动的混流式转轮的设计模型。基于前人的研究，将全三元流动分解为由三维Ｅｕｌｅｒ方程作周向平均导出的平均流动方程和由Ｃｌｅｂｓｃｈ变换建立的周期性流动方程来描述，迭代求解以满足叶片边界条件实现全三元的反问题计算。算例表明，按本文模型进行设计，可以得到满足给定的负荷分布及厚度分布的转轮，提高了设计过程对叶片性能的可控性。     

受拉钢筋混凝土构件破坏过程的数值模拟

采用三维材料破坏过程分析MFPA3D系统,对钢筋混凝土构件轴心受拉条件下的受力、变形与内部裂纹萌生、扩展及最终破坏全过程进行了数值试验研究。数值模型中引入统计分布函数反映了混凝土的非均匀性影响,并采用具有残余强度的弹性损伤本构模型及其破坏单元材料性质退化方法,利用位移加载方式对钢筋混凝土构件实施拉伸加载。通过对钢筋、素混凝土方形体以及钢筋混凝土方形柱体构件在拉伸作用下破坏过程的数值试验,分析了钢筋与混凝土两种材料之间的相互作用、约束机理和破坏机理。数值试验成果对于深入了解钢筋和混凝土的联合受力规律和钢筋在开裂前后对整体钢筋混凝土结构的作用机制有参考价值。     

Bifurcation analysis of the motion of an asymmetric double pendulum subjected to a follower force: Codimension three problem

Local and global bifurcations in the motion of a double pendulum subjected to a follower force have been studied when the follower force and the springs at the joints have structural asymmetries. The bifurcations of the system are examined in the neighborhood of double zero eigenvalues. Applying the center manifold and the normal form theorem to a four-dimensional governing equation, we finally obtain a two-dimensional equation with three unfolding parameters. The local bifurcation boundaries can be obtained for the criteria for the pitchfork and the Hopf bifurcation. The Melnikov theorem is used to find the global bifurcation boundaries for appearance of a homoclinic orbit and coalescence of two limit cycles. Numerical simulation was performed using the original four-dimensional equation to confirm the analytical prediction.     

多变量样条有限元法

本文提出了一种基于胡海昌－鹫津久一郎三类变量广义变分原理［１，２］的多变量样条有限元法，文中应用乘积型二元三次Ｂ样条插值函数来构造板壳的广义变量场函数，由三类变量广义变分原理来建立多变理样有限元模型。在计算种种场变量时，既不必求导，又无需用应力应变关系式，可直接算得其结果，因而对各种场变量均有足够的精度，文中，还解算了振动与稳定特征值问题，均得到了精度较好的数值结果。     

ANALYSIS OF 3-D NOTCHED/CRACKED STRUCTURES BY USING EXTENDED BOUNDARY ELEMENT METHOD 1)

在线弹性理论中,三维 V 形切口/裂纹结构尖端区域存在多重应力奇异性,常规数值方法不易求解. 本文提出和建立了三维扩展边界元法 (XBEM),用于分析三维线弹性 V 形切口/裂纹结构完整的位移和应力场. 先将三维线弹性 V 形切口/裂纹结构分为尖端小扇形柱和挖去小扇形柱后的外围结构. 尖端小扇形柱内的位移函数采用自尖端径向距离 $r$ 的渐近级数展开式表达,其中尖端区域的应力奇异指数、位移和应力特征角函数通过插值矩阵法获得. 而级数展开式各项的幅值系数作为基本未知量. 挖去扇形域后的外围结构采用常规边界元法分析. 两者方程联立求解可获得三维 V 形切口/裂纹结构完整的位移和应力场,包括切口/裂纹尖端区域精细的应力场. 扩展边界元法具有半解析法特征,适用于一般三维 V 形切口/裂纹结构完整位移场和应力场的分析,其解可精细描述从尖端区域到整体结构区域的完整应力场. 作者研制了三维扩展边界元法程序,文中给出了两个算例,通过计算结果分析,表明了扩展边界元法求解三维 V 形切口/裂纹结构完整应力场的准确性和有效性.     

DETERMINATION OF EFFECTIVE MODULI FOR FOAM PLASTICS BASED ON THREE PHASE SPHEROIDAL MODEL

The relations of bulk modulus,shear modulus,Young's modulus and the Poisson's ra-tio with porosity of foam plastics are determined by a three phase spheroidal model commonly used inComposite Mechanics.The results are compared with those using differential scheme.It is shownthat the material properties derived from the present model normally are larger than those obtained bydifferential scheme for foam plastics with identical porosity.The differences in shear moduli andYoung's moduli obtained by the two methods are small,but they are larger for bulk moduli of incom-pressible matrix and Poisson's ratios.The Young's moduli of high density foam plastics derived by thepresent model agree better with experimental ones.     

Systematic study of global optical model potentials in (d,p) transfer reactions

In the T-matrix form of the transfer reaction, the optical model potentials (OMPs) are used to compute the scattering wave function and transition operator. For most cases, the elastic scattering cross sections, normally used to generate the OMPs, are not directly given in the same experiment. Then, the global OMPs, which fit the experimental data over a broad mass and energy range, are widely used in the theoretical calculations. Different sets of global OMPs with different parameter sets can reproduce the scattering cross section equally well within the uncertainty. Here, we apply different global OMPs to calculate the (differential) cross sections of \begin{document}$ (d,p) $\end{document} transfer reactions on the target nuclei \begin{document}$ ^{12}{\rm{C}} $\end{document}, \begin{document}$ ^{48}{\rm{Ca}} $\end{document}, \begin{document}$ ^{124}{\rm{Sn}} $\end{document} , and \begin{document}$ ^{208}{\rm{Pb}} $\end{document} at different energies. The results demonstrate that the effects of deuteron and nucleon global OMPs on transfer (differential) cross sections vary with energy and target mass. Furthermore, the influences of the spin-orbit coupling term of deuteron and nucleon global OMPs on the transfer cross sections are not negligible.     

Novel One‐Pot Three‐Component Reaction for the Synthesis of Functionalized Spiroquinazolinones

A wide variety of spiroquinazolinone derivatives have been synthesized via a one‐pot three‐component reaction of isatoic anhydride, cyclic ketones, and hydrazides in the presence of catalytic amount (20 mol%) of H₃PO₃ in ethanol. Mild reaction conditions, high atom economy, operational simplicity, and good to high yields are the key advantages of the present protocol.     

雷尼替丁的合成及工艺研究

本文对雷尼替丁的传统合成方法进行优化和改进,提高了产物的收率和纯度。氮气保护下,以蒸馏水为溶剂,将N-甲基-1-甲硫基-2-硝基乙烯胺(简称侧三)和2-[[[5-(二甲氨基)甲基-2-呋喃基]甲基]硫基]乙胺(简称氨乙基硫醚)按照摩尔比1.156∶1投料,36℃下反应4h,反应结束后将反应液调酸至p H 3.5~4,经二氯甲烷萃取,有机相回收侧三,回收率高达98.9%;水相调碱至p H 9~10,经萃取、干燥、过滤、浓缩、重结晶,得到雷尼替丁,收率最高达89.7%。     

以钴-哒嗪阳离子为模板构筑的多酸基有机-无机杂化材料

利用水热方法合成了一种Keggin型多酸基有机无机杂化材料,化学式为(Hpydz)Na[Co(pydz)_4(H_2O)_2][SiW_(12)O_(40)]·3H_2O(pydz=pyridazine).单晶X-射线研究表明,在该化合物中,Keggin型多阴离子与钠离子连接构筑成三维孔状结构,其中钴-哒嗪阳离子有机基团作为客体分子,通过静电相互作用存在于三维孔道结构中,构筑成有机-无机杂化材料.该化合物属于单斜晶系,空间群为C_2/c,晶胞参数a=1.937 7(2)nm,b=1.678 8(2)nm,c=1.768 0(2)nm,α=90°,β=98.612(3)°,γ=90°,V=5.686 51nm~3.