Analytical and experimental studies on nonlinear characteristics of an L-shape beam structure

This paper focuses on theoretical and experimental investigations of planar nonlinear vibrations and chaotic dynamics of an L-shape beam structure subjected to fundamental harmonic excitation,which is composed of two beams with right-angled L-shape.The ordinary differential governing equation of motion for the L-shape beam structure with two-degree-of-freedom is firstly derived by applying the substructure synthesis method and the Lagrangian equation.Then,the method of multiple scales is utilized to obtain a four-dimensional averaged equation of the L-shape beam structure.Numerical simulations,based on the mathematical model,are presented to analyze the nonlinear responses and chaotic dynamics of the L-shape beam structure.The bifurcation diagram,phase portrait,amplitude spectrum and Poincare map are plotted to illustrate the periodic and chaotic motions of the L-shape beam structure.The existence of the Shilnikov type multi-pulse chaotic motion is also observed from the numerical results.Furthermore, experimental investigations of the L-shape beam structure are performed,and there is a qualitative agreement between the numerical and experimental results.It is also shown that out-of-plane motion may appear intuitively.     

闭系中硫(-Ⅱ)氧化的非线性动力学一般特征

The general dynamic features of the batch oxidation of Sulfur(-Ⅱ) compounds (S2- , thiosulfate,thiocynate and thiourea et al.) were discussed. The changes of Ph with reaction time consist of a rise and two separate drops. Dynamic model was proposed, further experimental studies on the batch oxidation of thiourea and thiocyanate by ClO2- were also carried out. Simulation curve was well consistent with experiment in a batch reactor. Non-catalytic oscillation of peroxide (hydrogen peroxide, persulfate et al.)- S(-Ⅱ) compound system resulted from the nonlinear dynamic of sulfur oxidation. In the oxidation of S(-Ⅱ) compounds by oxyhalogen compounds(ClO2- et al.), nonlinear dynamics of both oxyhalogen compound and sulfur compound should be considered simultaneously. So complex phenomena such as birhythmicity and chaos may be discovered.     

关于耦合振子运动的研究

本文从动力学方程入手，对耦合双振子系统的运动进行了细致求解，并对结果的物理意义和系统能量问题作了深入讨论。     

区域稳定动力学研究(二)——基本原则

区域稳定动力学是一个多源、多层次、多子系统、多影响因素的复合动力学系统, 本文提出了研究这一复合动力学系统的六个基本原则, 即连续性原则、立体性原则、系统性原则、非线性原则、动态性原则及工程实用原则。     

Towards understanding the carbon trapping mechanism in copper by investigating the carbon-vacancy interaction

We propose a vacancy trapping mechanism for carbon-vacancy (C-V) complex formation in copper (Cu) according to the first-principles calculations of the energetics and kinetics of C-V interaction. Vacancy reduces charge density in its vicinity to induce C nucleation. A monovacancy is capable of trapping as many as four C atoms to form CnV (n=1,2,3,4) complexes. A single C atom prefers to interact with neighboring Cu at a vacancy with a trapping energy of 0.21 eV. With multiple C atoms added, they are preferred to bind with each other to form covalent-like bonds despite of the metallic Cu environment. For the CnV complexes, C2V is the major one due to its lowest average trapping energy (1.31 eV). Kinetically, the formation of the CnV complexes can be ascribed to the vacancy mechanism due to the lower activation energy barrier and the larger diffusion coefficient of vacancy than those of the interstitial C.     

卷积型最小二乘法求解梁的动力学问题

提出了卷积型最小二乘法,并用其计算了不同初始条件和不同边界条件下梁的动力学问题,算例表明,方法概念简单,计算方便,精度高,计算工作量少,卷积型最小二乘法是计算结构动力学问题的一种简单、高效的方法,试函数可以不满足边界条件.     

单重态H_2N=B:→HNBH重排反应的理论研究

用量子化学中的从头算方法, 在MP2/6-311++G(d,p)水平上研究了单重态H_2N=B→HNBH重排反应的机理。结果表明, 该重排反应经过一个三元环过渡态。根据计算结果，初步讨论了该反应的热力学及动力学函数。     

碱土金属氧化物对焦炭溶损反应的催化作用研究

近年来 ,由于高炉冶炼技术的进步 ,焦比大幅度下降 ,以焦炭溶损反应为代表的焦炭热性质越来越受到人们的重视 ,而矿物质对焦炭溶损反应的催化作用因而也受到了研究者们的注意[1,2 ] 。对焦炭溶损反应的催化作用研究最多的是碱金属 ,然而 ,除钾、钠外 ,焦炭中还存在许多其它矿物质 ,它们大多数对焦炭溶损反应具有催化作用。本实验用碱土金属浸渍在高炉焦炭上 ,采用程序升温热重法 ,考察碱土金属氧化物对焦炭溶损反应ＴＧ线及反应动力学参数的影响。1　实验部分1 1　试样制备及矿物质加入方法　古交焦炭经破碎机粗破碎 ,缩分 ,弃去一部分焦样 …     

限制性核酸内切酶PstⅠ星号活力的研究

研究了温度、酶浓度、反应时间、几种有机溶剂等因素对PstⅠ星号活力的影响,并在有利于星号活力的反应条件下测定了星号活力及原活力的Km 分别为1.46×10- 7 m ol/L和1.02×10- 8 m ol/L,Vm ax 分别为2.86×10- 16 m ol/s和3.06×10- 15 m ol/s.     

原子核形变中的动力学效应I.172Os核高自旋态的形变

利用我们最近提出的Hill-Wheeler方程的一种数值解法,考虑动力学效应计算了¹⁷²Os核转晕态的形状随转动频率的变化.所得结果比通常的总罗斯量面(TRS)计算的形变值更符合于实验测量值.这表明,至少对于像¹⁷²Os这样的过渡核,核形变的动力学效应是不能忽略的.