Pattern formation in mutation of "Game of Life"

This paper presents pattern formation in generalized cellular automata (GCA) by varying parameters of classic “game Experiments show the emergence of the self-organizing patterns that is analogous with life forms at the edge of chaos, which consist of certain nontrivial structure and go through periods of growth, maturity and death. We describe these experiments and discuss their potential as alternative way for creating artificial life and generative art, and as a new method for pattern genesis.     

天然牙与种植体联合支持附着体连接式固定桥的骨组织应力分析

为了研究天然牙与种植体联合支持附着体连接式固定桥的骨组织应力分布情况,选择一左侧下颌第一磨牙缺失病例,分别设计刚性连接(模型Ⅰ)和Ceka附着体连接(模型Ⅱ)天然牙与种植体联合支持固定桥模型.分别在分散垂直和分散斜向两种载荷情况下,采用三维有限元法分析基牙及种植体周围骨组织的应力分布情况.研究结果表明,在两种载荷情况下,种植体周围骨组织的应力值都大于天然牙周围骨组织的应力值,模型Ⅰ中的种植体周围骨组织的应力值明显大于模型Ⅱ中的种植体周围骨组织的应力值,而天然牙周围骨组织的应力值在两组模型中变化不大.因此可以认为,Ceka附着体能缓冲种植体周围骨组织的部分应力,但对垂直应力和侧向应力的缓冲能力区别不大.进行天然牙与种植体联合支持固定桥修复时,可以设计附着体连接体,以缓冲种植体周围骨组织的应力水平,防止或减轻种植体支持组织的损伤.     

Using the United States Census Data to Introduce Differential Equations

Abstract

This article describes a method for using the United States Census data to open a differential equations course. The question of finding a model for the United States population data gives students a first experience with creating a model using differential equations, and also understanding derivatives, what they mean, and how to calculate them in the context of real data. This model-building start motivates further exploration in many of the standard differential equations topics: the method of separation of variables, slope fields, autonomous equations, equilibria, and stability.     

喷枪最优轨迹规划数学模型的建立

喷枪最优轨迹规划问题的目的是要确定一条使得工件表面涂层厚度差异达到最小的喷枪最优轨迹，本文对于由此建立的具体数学模型进行了详细阐述。     

有限体积——有限元方法解决对流扩散方程

将有限体积和有限元方法相结合,解决对流扩散方程问题,并给出了稳定性分析。     

多孔超弹性矩形板中微孔的增长

The analyses of finite deformation and stress for a hyperelastic rectangular plate with some voids under an uniaxial extension were conducted. The governing differential equations were given from the incompressibility condition of the material. The solution was approximately obtained from the minimum potential energy principle. The growth of voids was discussed. One can see that an initial central circular-cylinder void becomes an elliptic-cylinder void, but an initial non-centeral circular-cylinder void becomes an elliptic-like cylinder void and the center of void has a shift. The stress distributions along the edges of voids were given and the phenomenon of stress concentration was observed. The influences of the distribution manner and size of voids, as well as the distance between them on the growth of voids were analyzed.     

水电站坝体基础结构施工过程及结构分析

依据现行水利电力工程规范规定的方法扣原则，对水电站坝体基础结构进行结构形式扣施工过程的方案设计，并对各方案作有限元结构应力及可靠度分析，以比较方案及选择坝体尺寸。     

抛物型积分-微分方程的交替方向有限元方法

对一类抛物型积分一微分方程提出了一种全离散交替方向有限元格式，分析了该格式的收敛性，得到了最佳H^1模误差估计。     

黎家湾隧道不良地质段施工控制技术研究

为深入研究隧道穿越不良地质段的施工控制技术,以黎家湾隧道为工程实例,全面总结分析黎家湾隧道的工程地质情况,提出了采用超前小导管注浆、注浆堵水加固、台阶分部开挖法等施工控制技术,并通过数值模拟计算对其控制效果进行评价。研究结果表明采用上述施工控制措施后,隧道围岩及支护结构变形得到了有效控制,研究成果对类似工程有供借鉴意义。     

数学与物理学相融合的新趋势

对近年来数学各领域之间、数学与物理之间的相互影响再次活跃,并相互作用及产生的重要成果进行了讨论,同时强调了数学的统一性。