MONOTONIZATION IN GLOBAL OPTIMIZATION

A general monotonization method is proposed for converting a constrained programming problem with non-monotone objective function and monotone constraint functions into a monotone programming problem. An equivalent monotone programming problem with only inequality constraints is obtained via this monotonization method. Then the existing convexification and concavefication methods can be used to convert the monotone programming problem into an equivalent better-structured optimization problem.     

Control of flexural waves on a beam using distributed vibration neutralisers

This paper is concerned with the use of distributed vibration neutralisers to control the transmission of flexural waves on a beam. Of particular interest is an array of beam-like neutralisers and a continuous plate-like neutraliser. General expressions for wave transmission and reflection metrics either side of the distributed neutralisers are derived. Based on transmission efficiency, the characteristics of multiple neutralisers are investigated in terms of the minimum transmission efficiency, the normalised bandwidth and the shape factor, allowing optimisation of their performance. Analytical results show that the band-stop property of the neutraliser array depends on various factors, including the neutraliser damping, mass, separation distance in the array and the moment arm of each neutraliser. Moreover, it is found that the particular attachment configuration of an uncoupled force-moment-type neutraliser can be used to improve their overall performance. It is also shown that in the limit of many neutralisers in the array, the performance tends to that of a continuous neutraliser.     

活性炭分离-桑色素荧光法测定天然水中痕量铍

在溴化十四烷基吡啶存在下,铬天菁S与铍生成三元胶束络合物。在pH10.0氨～氯化铵缓冲介质中,活性炭定量吸附此络合物,用热盐酸洗脱铍,可与其他干扰离子分离,用桑色素荧光法进行测定。该法用于测定美国EPA标准水样和天然水中的痕量铍,结果令人满意。     

集合风险模型的可分解性

本文讨论了集合风险模型中 ,在复合二项分布和复合负二项分布两种情况下的可分解性问题 ,得到了同复合泊松分布情况下类似的结果     

CO_2焊接短路过渡过程的动态分析─短路液桥的动态变化与力学测算

ＣＯ＿２气体保护焊接是一种高效、节能和低成本的焊接方法，在钢结构焊接生产中得到了广泛的应用。但也存在着诸如：金属飞溅、焊缝成形较差等问题，要解决这些问题，必须首先对ＣＯ＿２焊接过程的电弧形态以及熔滴变化情况从理论上深入分析研究。本文以高速摄影与光线示波器同步进行拍摄，记录了ＣＯ＿２悍接短路过渡中熔滴的长大、缩颈、脱落的全过程以及相对应的电流电压波形。利用影片数据分析处理系统对所得影片及记录波形进行了分析处理，得到了熔滴过渡形成金属液桥爆断瞬间的最大电流值及所受合力的大小。从理论上更进一步研究了短路过渡的机理，建立了短路过渡的模型，这对正确调节焊接工艺规范，保证焊接质量具有重大的指导意义，研究结果表明：在常规短路过渡ＣＯ＿２焊接中，抑制飞溅是提高ＣＯ＿２焊接质量的关键，利用焊接规范来调节短路频率和短路峰值电流是抑制飞溅的主要途径。     

关于周期环结构的几个定理

本文给出了有关周期环结构的一些结果,而使文献[1]中的所有定理都可以做为本文结果的直接结论。     

大变位热弹性扁壳的一种边值模型

本文给出了正则形式基本方程及广义变分原理,并给出了关于应力函数、挠度、温度三种变量的一种边值模型。     

Chaotic Oscillation of Saddle Form Cable-Suspended Roofs under Vertical Excitation Action

The purpose of this paper is to investigate the dynamic behaviour of saddle form cable-suspended roofs under vertical excitation action. The governing equations of this problem are system of nonlinear partial differential and integral equations. We first establish a spectral equation, and then consider a model with one coefficient, i.e., a perturbed Duffing equation. The analytical solution is derived for the Duffing equation. Successive approximation solutions can be obtained in likely way for each time to only one new unknown function of time. Numerical results are given for our analytical solution. By using the Melnikov method, it is shown that the spectral system has chaotic solutions and subharmonic solutions under determined parametric conditions.     

Nonmonotone algorithm for minimax optimization problems

Many real life problems can be stated as a minimax optimization problem, such as the problems in economics, finance, management, engineering and other fields. In this paper, we present an algorithm with nonmonotone strategy and second-order correction technique for minimax optimization problems. Using this scheme, the new algorithm can overcome the difficulties of the Maratos effect occurred in the nonsmooth optimization, and the global and superlinear convergence of the algorithm can be achieved accordingly. Numerical experiments indicate some advantages of this scheme.