Interval parameter perturbation method for evaluating the bounds on natural frequencies of structures with interval parameters

For structural parameters with uncertainties, interval mathematics can, in the case where the probabilistic distribution density of uncertain variables is unavailable, deal with the influence of uncertainties in structural parameters on the response of structures. In order to evaluate the region containing natural frequencies of structures with interval parameters, the interval parameter perturbation method is presented in this paper. The advantage of the present method is its computational efficiency in evaluating the region containing natural frequencies. A numerical example is used to illustrate the efficiency of the method proposed. The project is supported by National Youth Natural Science Foundation of China and National Outstanding Youth Science Foundation of China.     

Locating subsets of a normed space

Within the framework of Bishop's constructive mathematics, we give conditions under which a bounded convex subset of a uniformly smooth normed space over is located, extending results presented recently by F. Richman and H. Ishihara for subsets of a Hilbert space.

     

TDI CCD像元响应不一致性校正算法

线阵TDI CCD遥感相机的不一致性校正对获取高质量的图像来说具有重要意义。主要对TDI CCD像元响应不一致性的校正算法及其硬件实现进行了深入的研究。对CCD的噪声特性进行了详细的分析,给出了像元响应不一致性(PRNU:Pixel-response non-uniformity)的退化模型及校正算法,并对其计算精度进行了分析,在硬件电路上对校正算法进行了验证,详细分析了影响校正效果的各种因素。实测结果表明,校正后图像的信噪比得到显著提高。     

Kinetic market models with single commodity having price fluctuations

We study here numerically the behavior of an ideal gas like model of markets having only one non-consumable commodity. We investigate the behavior of the steady-state distributions of money, commodity and total wealth, as the dynamics of trading or exchange of money and commodity proceeds, with local (in time) fluctuations in the price of the commodity. These distributions are studied in markets with agents having uniform and random saving factors. The self-organizing features in money distribution are similar to the cases without any commodity (or with consumable commodities), while the commodity distribution shows an exponential decay. The wealth distribution shows interesting behavior: gamma like distribution for uniform saving propensity and has the same power-law tail, as that of the money distribution, for a market with agents having random saving propensity.     

附加自由阻尼结构系统的有限元分析和拓扑优化设计方法研究

给出了一种适用于车身等复杂附加阻尼结构系统的有限元建模和动态特性分析方法,包括附加自由阻尼薄壁结构和附加阻尼材料粘弹性特性的有限元建模方法以及附加阻尼结构动态特性的有限元分析方法。在此基础上,又以强迫振动响应最小为优化设计目标,给出了一个附加阻尼结构的拓扑优化设计方法,包括优化设计问题的列式和适用的求解算法。通过对一个简单薄壁构件和一个车身地板上的附加阻尼结构的拓扑优化设计,验证了提出的有限元分析和拓扑优化设计方法的有效性。     

由三平行轴惯量求重心的一种方法

为了求得复杂刚体重心的位置, 根据转动惯量平行轴定理, 由已知轴转动惯量和一定的几何关系推导出用于求重心的关系式, 从理论上给出两个可能重心坐标值, 再实际判断取舍.只要用实验仪器先测量刚体对3个平行转轴的转动惯量, 就可由该关系式计算得到刚体重心的位置. 这一方法有时要比直接测量重心更为简单.     

泛系哲学与泛系数学和应用:事理,物理,技理,医理与战理(Ⅱ)

这里从泛系观引入一种新型的哲学与数学研究,包括在泛系框架下发展哲学七论与数学和一些第二第三哲学以及对事理、物理、技理、医理与战理的某些应用.     

吉林大学应用化学学科:理工兼备 特色发展

吉林大学应用化学学科始建于1986年,依托吉林大学化学学科深厚理论基础与学术优势,经过几代应用化学学科人的不懈努力,逐渐形成了“理工兼备”的学科特色。在吉林大学化学学科70华诞之际,回顾了应用化学学科的发展历程,着重介绍了应用化学学科在本科教学与专业特色、科学研究与平台建设、人才培养与社会服务等3个方面取得的成绩,以及今后发展的设想。