Remarkable Size Effect on Photophysical and Nonlinear Optical Properties of All-Carboatomic Rings,Cyclo[18]carbon and Its Analogues

Inspired by recent experimental observation of molecular morphology and theoretical predictions of multiple properties of cyclo[18]carbon, we systematically studied the photophysical and nonlinear optical properties of cyclo[2N]carbons (N=3–15) allotropes through density functional theory. This work unveils the unusual optical properties of the sp-hybridized carbon rings with different sizes. The remarkable size dependence of the optical properties of these systems and their underlying nature are profoundly explored, and the relevance between aromaticity and optical properties are highlighted. The extrapolation curves fitted for energy level of frontier molecular orbitals, maximum absorption wavelength, and (hyper)polarizability of considered carbon rings are presented, which can be used to reliably predict corresponding properties for arbitrarily large carbon rings. The findings in this study will facilitate the exploration of potential application of cyclocarbons in the field of optical materials.     

超高效液相色谱-串联质谱法测定猪肉中硝基呋喃类代谢物

建立了超高效液相色谱-串联质谱(UPLC-MS/MS)测定猪肉组织中4种硝基呋喃类代谢物的分析方法.样品经盐酸水解,2-硝基苯甲醛衍生,乙酸乙酯提取净化,在正离子模式下以电喷雾电离串联质谱进行测定,内标法定量.在优化的实验条件下,4种代谢物在0.5~50μg/kg范围内线性良好,相关系数大于0.995,方法检出限为0.2μg/kg,定量限为0.5μg/kg.在0.5、1.0和10.0μg/kg的添加水平下,4种代谢物的平均回收率在74.6%~104.8%之间,相对标准偏差(RSD,n=6)在2.4%~15.6%之间.方法可应用于猪肉中4种硝基呋喃类药物代谢物残留的同时检测.     

Studies on Bifurcation and Chaos of a String-Beam Coupled System with Two Degrees-of-Freedom

In this paper, research on nonlinear dynamic behavior of a string-beam coupled system subjected to parametric and external excitations is presented. The governing equations of motion are obtained for the nonlinear transverse vibrations of the string-beam coupled system. The Galerkin's method is employed to simplify the governing equations to a set of ordinary differential equations with two degrees-of-freedom. The case of 1:2 internal resonance between the modes of the beam and string, principal parametric resonance for the beam, and primary resonance for the string is considered. The method of multiple scales is utilized to analyze the nonlinear responses of the string-beam coupled system. Based on the averaged equation obtained here, the techniques of phase portrait, waveform, and Poincare map are applied to analyze the periodic and chaotic motions. It is found from numerical simulations that there are obvious jumping phenomena in the resonant response–frequency curves. It is indicated from the phase portrait and Poincare map that period-4, period-2, and periodic solutions and chaotic motions occur in the transverse nonlinear vibrations of the string-beam coupled system under certain conditions. An erratum to this article is available at .     

CAD软件在工程地质三维建模中的应用

如何快速、准确地建立地质体的三维模型一直是众多岩土工程数值模拟工作者所面临的难题。虽然三维地学模拟软件具有很好的三维地质建模能力,但是由于数据结构的差异,采用他们现行三维地学模拟软件建立的地质模型难以导入数值模拟分析软件中,以为相应工程问题的数值模拟服务。目前,随着各种CAD、CAM软件行业的的飞速发展,涌现出了许多优秀的三维建模软件,而且这些软件大都与现行数值分析软件有着良好的数据接口功能。据此,本文提出了采用现行CAD软件来建立工程地质体的三维模型,使得建立的模型达到既"可视"又"可算"的目的。将其应用于云南某高速公路边坡的三维建模中,证明了该法具有方便、快捷和合理等优点。     

Energy method for computing periodic solutions of strongly nonlinear systems (I) — Autonomous systems

In this paper a new method for solving for the periodic solution (limit cycle) of a strongly nonlinear system is suggested. Using this method not only the existence, stability and number of periodic solutions can be decided, but at the same time the approximate expressions for these periodic solutions can also be obtained. The proof of this method is given as well.The project is supported by the National Natural Science Foundation of China.     

近场波动模拟的一种应力人工边界

采用平面波和远场散射波混合透射，引入无限介质线弹性本构关系建立了一种应力人工 边界条件. 其优点在于边界结点反应与内部有限元结点反应采用相同的积分格式计算，有限 元积分方法稳定时不存在人工边界失稳问题. 数值算例表明：边界精度高于现有黏性边 界、黏弹性人工边界，以及一、二阶透射人工边界.     

The topological optimization for truss structures with stress constraints based on the exist-null combined model

A new exist-null combined model is proposed for the structural topology optimization. The model is applied to the topology optimization of the truss with stress constraints. Satisfactory computational result can be obtained with more rapid and more stable convergence as compared with the cross-sectional optimization. This work also shows that the presence of independent and continuous topological variable motivates the research of structural topology optimization. The project supported by the State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology.     

杨家岭1~#滑坡稳定性影响因素及敏感性分析

杨家岭滑坡区地质条件复杂 ,且严重影响了 2 0 9国道的正常使用 ,本文研究了影响该滑坡稳定性的各类因素及滑坡稳态对这些因素的敏感性问题。研究表明 ,滑坡的稳定性受多种因素影响 ,主要包括滑坡岩土体容重、滑带的c、φ值、滑体的c、φ值、滑坡内地下水的动态和地震作用等等 ,其中滑带的抗剪强度指标c、φ值、地下水作用和地震作用是滑坡稳态的最敏感因素 ,甚至成为诱发因素。文中还通过研究滑坡坡面加固力的大小、方位与稳定系数的关系 ,确立了滑坡整治方案的最佳加固角 ,为滑坡的综合防治提供了可靠依据     

某边坡变形破坏机理的数值分析

某花岗岩矿岩土体主要有填土、粉质粘土、淤泥及淤泥质土、含泥中粗砂、粘土、残积砂质粘土,其下为花岗岩基岩。边坡最大高度75m,其中残积土层以上的土质边坡高度约50m。本文运用有限元强度折减法对该边坡的稳定性进行了研究,得出了潜在的破坏模式及各个滑动部分的安全系数。分析结果表明,本边坡存在3个潜在滑动面,其中两个为浅层滑动面,另一个为深层滑动面。两个浅层滑动面的稳定系数在1.13～1.17,处于临界状态。深层滑动面稳定性系数在1.29,目前尚处在相对稳定状态。根据分析结果,提出了如下加固措施:（1）对滑坡体进行削坡处理;（2）在其滑动面下方设置抗滑台阶;（3）采用预应力锚索框架梁结合肋柱进行加固处理。