Fast computation of observed cross section for ψ′ → PP decays

It has been conjectured that the relative phase between strong and electromagnetic amplitudes is universally -90° in charmonium decays. ψ′ decaying into a pseudoscalar pair provides a possibility to test this conjecture. However, the experimentally observed cross section for such a process is depicted by the two-fold integral, which takes into account the initial state radiative (ISR) correction and energy spread effect. Using the generalized linear regression approach, a complex energy-dependent factor is ...     

ON A KAHLER VERSION OF CHEEGER-GROMOLL-PERELMAN＇S SOUL THEOREM

In this note, we will prove a Kahler version of Cheeger-Gromoll-Perelman＇s soul theorem, only assuming the sectional curvature is nonnegative and bisectional curvature is positive at one point.     

《应用数学和力学》投稿指南

正(Instructions to Contributors:http://www.applmathmech.cn/EN/column/column107.shtml)1.我刊主要刊登力学、力学中的数学方法和与现代力学紧密相关的应用数学方面的高水平学术论文,同时刊登土木建筑、水利水工、道路桥梁、航海造船、航空航天、机械冶金、国防军工、防灾减灾、能源环保、生物化工等领域中力学和数学建模、分析方面具有学术水平和实用价值的论文。来稿务求观点明确、论据可靠、数字     

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.     

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.     

Nuclear data for the cyclotron production of ~（117）Sb and ~（90）Nb

This presented study is to make comparison of cross sections to produce ¹¹⁷Sb and ⁹⁰Nb via different reactions with particle incident energy up to 70 MeV as a part of systematic studies on particle-induced activations on enriched Sn, Y₂O₃ and ZrO₂ targets, theoretical calculation of production yield, calculation of required thickness of target and suggestion of optimum reaction to produce Antimony-117 and Niobium-90.     

用气室法研究分子反应动力学的新进展

介绍了研究分子反应动力学的两大主要实验方法之一的气室法、在研究有热原子参与的反应所取得的新进展，讲述了此方法“新用”的理论依据及相应的实验条件，至此，可以获得对分子反应动力学更精细的信息，例如，态－态分辨的微分反应截面，并对两大方法进行了“现代”对比。还对两方法的发展前景作了适度的分析。     

聚合物费米型截面阵列波导光栅的优化设计

利用微扰理论给出"等效矩形波导法",分析了费米型截面硅基聚合物阵列波导光栅的传输特性.模拟表明,波导的费米型截面将使阵列波导光栅的传输光谱产生漂移、并使串扰增大.为了消除光谱漂移、减小串扰、实现正常的解复用功能,对阵列波导光栅的结构参量进行了重新优化.结果表明,重新设计的费米型截面聚合物阵列波导光栅的光谱响应和串扰恢复到初始设计的聚合物矩形截面阵列波导光栅的水平.     

某大酒店顶层环梁工程质量事故分析与处理

本文通过对某大酒店顶层环梁质量事故的分析，提出了钢筋混凝土环梁计算的力学模型，经过计算和分析，找出了环梁支座处出现裂缝的原因，并给出正确的计算结果，使事故得以及时处理