Two-to-one resonant multi-modal dynamics of horizontal/inclined cables. Part II: Internal resonance activation,reduced-order models and nonlinear normal modes

Resonant multi-modal dynamics due to planar 2:1 internal resonances in the non-linear, finite-amplitude, free vibrations of horizontal/inclined cables are parametrically investigated based on the second-order multiple scales solution in Part I [1] (in press). The already validated kinematically non-condensed cable model accounts for the effects of both non-linear dynamic extensibility and system asymmetry due to inclined sagged configurations. Actual activation of 2:1 resonances is discussed, enlightening on a remarkable qualitative difference of horizontal/inclined cables as regards non-linear orthogonality properties of normal modes. Based on the analysis of modal contribution and solution convergence of various resonant cables, hints are obtained on proper reduced-order model selections from the asymptotic solution accounting for higher-order effects of quadratic nonlinearities. The dependence of resonant dynamics on coupled vibration amplitudes, and the significant effects of cable sag, inclination and extensibility on system non-linear behavior are highlighted, along with meaningful contributions of longitudinal dynamics. The spatio-temporal variation of non-linear dynamic configurations and dynamic tensions associated with 2:1 resonant non-linear normal modes is illustrated. Overall, the analytical predictions are validated by finite difference-based numerical investigations of the original partial-differential equations of motion.     

Fluorescence line narrowing spectroscopy of Eu in zinc-thallium-tellurite glass

The environment of Eu³⁺ in zinc-thallium-tellurite glass of the molar composition 60TeO₂-30TlO_0.5-9.9ZnO-0.1Eu₂O₃ was investigated by laser-induced fluorescence line narrowing (FLN) techniques using Eu³⁺ as a local site probe. From the site selective luminescence spectra of Eu³⁺ at 7 K, the energies of the Stark components of the ⁷F₁ and ⁷F₂ states were recorded and then the crystal field parameters B_nm were calculated assuming a C_2v site symmetry. The ratios B₂₂/B₂₀ and B₄₄/B₄₀ for each excitation energy within ⁷F₀-⁵D₀ transition were obtained and compared with the values calculated for Eu³⁺ in other types of glasses.     

单光子量子密钥分发系统中干涉稳定性分析

为了研究位相编码量子密钥分发系统中的干涉稳定性, 运用解析和数值计算方法详细研究了光纤双折射、温度变化、非对称性以及耦合器分光比对量子密钥分发系统干涉条纹可见度的影响, 结果表明光纤双折射、温度变化和非对称性都将影响系统的干涉可见度, 调整接收端的调制位相能消除温度变化的影响, 并减小非对称性对系统的影响, 但不能改善光纤双折射对系统干涉的影响. 另外, 耦合器分光比影响系统的效率.     

Study on some aspects of the “singer's formant” in north indian classical singing

This article deals with a spectrographic analysis of the singer's formant as occurred during singing of the vowels /a/, /i/, and /o/ in North Indian classical vocal music. The resonance balance, center frequency, and band-width are shown as a function of fundamental frequency for eight singers.Two new parameters have been defined viz. asymmetry parameter (A) and spectral energy balance (W). Their variation with fundamental frequency is shown.     

改进型非对称Y分叉内全反射光开关特性分析

提出一种改进型非对称Y分叉内全反射光开关,较详细地分析了结构参量对光开关消光比和损耗的影响,优化设计后开关的消光比可大幅度提高,并给出了一种优化设计的方案.     

圆偏振光在手性聚合物合成与结构调控中的应用

手性是自然界中普遍存在的有趣现象之一,在生命体中手性大分子特有的不对称结构在维持生命过程、新陈代谢和进化等面均起着决定性作用.受此启发,合成具有新型结构的光学活性聚合物,研究其独特的物理化学性质和功能已成为当今高分子领域研究的热点.左旋和右旋的圆偏振光已被广泛应用于氨基酸衍生物的不对称光合成、光分解和去消旋化反应,以及诱导含有偶氮苯或三苯胺等特定功能基团的超分子组装体或无机纳米粒子形成稳定螺旋结构.本文详细地介绍了圆偏振光辐照在手性聚合物合成与螺旋结构调控中的应用,初步揭示了圆偏振光的作用机制以及优势,归纳总结了已取得的研究进展,并对圆偏振光在手性聚合物合成与结构调控中的应用及发展进行了简单的评述和展望.     

Convenient synthetic route of versatile 21-monothiatetraphenylporphyrins of the A4 and AB3 type

A novel convenient synthetic route for poly-functional 21-monothiatetraphenylporphyrins of the type A₄ und AB₃ having base labile substituents in meso position was developed. Using this method a series of symmetric and asymmetric 21-thiaporphyrins containing different functional groups at the meso position is reported. The new products were characterized by NMR, UV-Vis and mass spectroscopy.     

Rotation Techniques in Asymmetric Multidimensional Scaling

Multidimensional scaling (MDS) is a set of techniques, used especially in behavioral and social sciences, that enable a researcher to visualize proximity data in a multidimensional space. This article focuses on a particular class of MDS models proposed to deal with proximities which describe asymmetric relationships (i.e., trade indices for a set of countries, brand switching data, occupational mobility tables, and so on). They are based on the decomposition of the relationships into a symmetric and a skew-symmetric part. In this way the objects are represented as points in a multidimensional space and the intensity of their relationships as scalar products (symmetry) or triangle areas (skew-symmetry). These models are seen as special cases of a general model and their rotational indeterminacy is investigated. The aim is to propose a rotation method that makes easier the visual inspection of the graphical representation, highlighting the simple structure of the data. In particular an orthomax-like family of rotation methods and a general algorithm are proposed. Advantages of the proposal are illustrated by analysis of import-export data.