一元三次方程根的分布

本文介绍了一元三次方程一般式化为标准式的方法,并结合图形给出了标准式的实数根的分布情况,从而解决了任意一元三次方程的实数根的分布的问题。     

GS-1光栅式弹性模量实验仪的研制

利用光栅尺精细刻度和位移检测探头的关系，设计方波脉冲发生电路来记录弹性模量，并用单片机进行数据采集和处理，同时在数码管上进行位移量的显示．本仪器的研制，使得弹性模量实验测量精度大大提高，操作更加快捷．     

南溪井水位对气压动态过程的响应

对四川南溪井的水位和气压进行了相关性分析,得到了该井气压系数的背景值,目的在于搞清气压对该井水位的干扰程度及其规律,找出排除气压干扰的方法,为分析预报提供科学依据。     

基于线阵CCD的迈克尔逊干涉仪测量金属丝的弹性模量

对现有迈克尔逊干涉仪予以简单改造,通过在金属丝上持续而均匀加力的变化引起金属丝细微伸长进而带动移动镜移动,从而引起光屏上干涉圆环数目的变化;通过对干涉圆环的自动精确记录就可以实现对金属丝微小伸长量的测量,提出了一种用线阵CCD作为光电传感器件捕捉干涉圆环的光强信号,再将电信号进行模数转换。采取USB接口与微机接口,用C++语言编写程序设计了一种新型的干涉圆环自动计数软件。将这种计数方法与金属丝弹性模量的测量结合起来,可以自动得出金属丝的弹性模量,且提供了一种交互性强的友好图形界面。     

耗散颗粒动力学模拟油水体系相行为

用耗散颗粒动力学模拟方法（Dissipative Particle Dynamics,DPD）研究了油分子量、油分子浓度、剪切及表面活性剂SDS（十二烷基硫酸钠）对油水体系相行为的影响.发现随着油分子量的增加,油水界面张力增加;随着油浓度的增加,体系由最初的水包油聚集状态逐渐演变为油水分层状态.随着剪切速率的加大,油滴被逐渐拉长,最后断裂;表面活性剂加入油水体系后,以亲水头基伸入水相、疏水尾巴伸入油相的方式分布在油水界面上.     

混凝土杨氏模量预测的双夹杂模型

本文对混凝土的弹性性质进行了计算,将混凝土简化为由水泥浆、细骨料和粗骨料所组成的三相复合材料,运用了Benveniste对Morl-Tanaka法的解释和Eshelby's等效介质理论对其进行了计算,最后将本文方法所推导出来的理论结果与公开发表的实验数据进行了比较.     

论大体积混凝土的裂缝控制

为有效控制裂缝的产生,文章从力学角度出发,分析了提高各龄期混凝土的弹性模量和降低温差混凝土的强度。混凝土温度收缩应力在大体积混凝土施工中,由于水泥水化热引起混凝土浇注内部温度和温度应力剧烈变化,由此而产生的温度应力是导致混凝土产生裂缝的原因。     

周期可微函数的连续模极值性质

给出了实现上确界ｓｕｐｆ∈Ｗｒ，α∞ｗ（ｆ，ｔ），ｔ≥０的具体函数     

Theorema aureum — 2

In the first part of this article, we had introduced the notion of quadratic reciprocity and dwelt briefly on its history, which goes back all the way to the work of Fermat. Then we discussed the Law of Quadratic Reciprocity (‘QRL’), which Gauss named Theorema Aureum. Following this, we gave a not too well known proof of the QRL, due to G Rousseau. Now we give two more proofs of the QRL, drawing respectively from ideas in linear algebra and field extensions; they too are not very well known. Shivam Kumar graduated from Indian Statistical Institute, Bangalore and is joining the London School of Economics for MSc in applicable mathematics. His interest lies in expanding the existing applied paradigm of mathematics from stock market to unchartered subjects such as sociometrics.     

A Nonlinear Dynamical Theory of Non-Classical Plates

In this paper, a new nonlinear formulation of plates, including shear and rotatory inertia and transverse normal stress effects, is developed by means of general assumptions, of which the von Karman-type formulation and some thick plate theories are special cases. To keep the formulation fairly general, the problem addressed in this paper simultaneously includes: the effects of shear deformation according to the geometric deformation similarity of the cross-section, the rotatory inertia, and the transverse normal stress. The three-dimensional compatible equations are applied to derive the basic equations. Numerical results are given for linear and non-linear analysis of plates. This Work was supported by the Natural Science Fundation of Shanghai for Returning Scholars