晃荡

本文列举了诸多工程领域中的液体共振运动现象,详细探讨了船舱中伴有剧烈流动的晃荡问题.描述了基于理论分析的非线性多模态方法,该方法便于波动稳定性分区、多分支解和物理稳定性的研究.强调了方形舱、垂向圆柱舱以及球形舱内伴有旋转和混沌(不规则波动)的三维流动的重要性.晃荡引起的砰击涉及到各种各样的内流条件,这些条件随液体深度与舱体长度之比而变化.针对棱柱状LNG舱,讨论了许多与流体力学和热力学参数、影响砰击载荷效应的水弹性以及模型实验缩尺比的物理现象.     

Frequency related localisation of harmonic elastic waves in stratified welds

The paper presents a computational model for elastic waves in a structured weld adjacent to the free surface of an elastic solid. The main emphasis is on the interaction of waves with the micro-structure of the weld. Effects of localisation and channeling of waves are addressed. A model of a grain structure within the weld is also considered.     

“非平均区间数”计算及其在政府决策信息系统中的应用

本文在已有的“区间数”定义及排序算法的基础上 ,针对层次分析法提出了更加灵活 ,准确的描述主观评判的“非平均区间数”概念及其排序算法 .并结合政府决策信息系统阐述了“非平均区间数”的应用     

一道内涵丰富的概率题

2011年南京市高三二模最后一题是一道概率题,该题源于生活,简洁明了,内涵丰富,让人回味无穷,笔者对此题进行了剖析,以飨读者.1.试题(2011年南京市二模)某校组织一次篮球投篮测试,已知甲同学每次投篮的命     

DECAY RATE OF SAINT-VENANT END EFFECTS FOR PLANE DEFORMATIONS OF PIEZOELECTRIC-PIEZOMAGNETIC SANDWICH STRUCTURES

This paper is concerned with the decay of Saint-Venant end effects for plane deformations of piezoelectric （PE）-piezomagnetic （PM） sandwich structures, where a PM layer is located between two PE layers with the same material properties or reversely. The end of the sandwich structure is subjected to a set of self-equilibrated magneto-electro-elastic loads. The upper and lower surfaces of the sandwich structure axe mechanically free, electrically open or shorted as well as magnetically open or shorted. Firstly the constitutive equations of PE mate- rials and PM materials for plane strain are given and normalized. Secondly, the simplified state space approach is employed to arrange the constitutive equations into differential equations in a matrix form. Finally, by using the transfer matrix method, the characteristic equations for eigen- values or decay rates axe derived. Based on the obtained characteristic equations, the decay rates for the PE-PM-PE and PM-PE-PM sandwich structures are calculated. The influences of the electromagnetic boundary conditions, material properties of PE layers and volume fraction on the decay rates are discussed in detail.     

揭秘“153”的数学神奇之旅

在古希腊，没有社会保险号码，没有电话号码，没有人口调查统计数字，没有选举后的投票数字，没有统计数据．当时，世界还没有数字化，但数字在希腊知识分子的头脑中至关重要．毕达哥拉斯的“万物皆数”的论断就证明了这一点．     

Regularization inertial proximal point algorithm for common solutions of a finite family of inverse-strongly monotone equations

The aim of the paper is to propose an iterative regularization method of proximal point type for finding a common solution for a finite family of inverse-strongly monotone equations in Hilbert spaces.     

高功率钕玻璃激光放大器优化设计的研究现状与展望

系统地分析了高功率钕玻璃光放大器及其优化设计的研究现况和进一步发展的方向，简要报道了在钕玻璃放大器优化设计方面所取得的主要成果。     

几种超弹性多次碰撞的讨论

本文分析了几种超弹性碰撞多次连续碰撞的过程，以期对照弹性碰撞的进一步理解．实现这些物理过程对物理教学是相当有趣的．