非线性粘弹性大挠度梁的动力学模型及其简化

本文建立了描述几何非线性均匀梁动力学行为的偏微分－－积分方程,梁的材料满足Ｌｅａｄｅｍａｎ非线性本构关系,对于两端简支的情形用Ｇａｌｅｒｋｉｎ方法进行了截断简化为常微分－－积分方程,然后引进附加变量的方法进一步简化为常微分方程组。     

DNA纳米管的扭转刚度模型

刚度是衡量材料弹性变形难易程度的一个定量表征参数,与DNA纳米管静动力学特性及其结构生物功能密切相关．本文致力于研究DNA纳米管的扭转刚度．首先,在六角形均匀封装条件下,考虑到单个DNA杆件弯扭组合问题的静不定特点,我们利用平衡方程、变形协调方程和弹性本构方程,合理预测了DNA纳米管扭转实验中单个DNA杆件的弯扭组合变形,由此给出了DNA纳米管扭转刚度预测的解析模型．最后的结果表明：随着DNA杆数的增加,DNA纳米管的弯曲刚度显著增加,而其扭转刚度却几乎不变,合理解释了扭转实验中发现的现象．有关结论为DNA折叠结构的设计和应用提供了参考．     

Relationship between photosensitizing activities and chemical structure of hypocrellin A and B.

Hypocrellins A (HA) and B (HB) are two main pigments isolated from the parasitic fungi Hypocrella bambusae (B. et Br) Sacc. and Shiraia bambusicola P. Heen found in China. These pigments have a long history as traditional medicinal agents. Although HA and HB have the same perylene quinonoid structure, there are different side rings. The different photosensitizing activities of HA and HB due to their different side rings were studied by electron paramagnetic resonance (EPR), spin trapping and spin counteraction techniques. It is demonstrated that the ability to generate active oxygen (1O2, O2.- and .OH) is stronger during HA photosensitization than during HB photosensitization. Under anaerobic conditions, the ability to generate HA.- during HA photosensitization is stronger than the ability to generate HB.- during HB photosensitization. There is a relationship between photosensitizing ability and chemical structure.     

非线性粘弹性方柱的有限剪切

利用有限线性粘弹性的一种简化形式，研究了方柱的有限剪切，并采用丁苯橡胶的有关实验数据，进行了数值计算，考究了材料的非线性特征。     

Clamped-end effect on static detection signals of DNA-microcantilever

Applied Mathematics and Mechanics - Boundary constraint induced inhomogeneous effects are important for mechanical responses of nano/micro-devices. For microcantilever sensors, the clamped-end...     

非Lipschitz系数下随机泛函微分方程适度解的存在唯一性及其渐近性态(英文)

本文主要运用Picard迭代和算子分数次幂方法,讨论了随机时滞偏微分方程适度解的存在性与唯一性,并对解的渐近性态进行了研究.这里方程的系数不满足Lipschitz条件,时滞r>0为有限的.最后给出了一个非Lipschitz条件的例子.     

热应力作用下层合路面结构层间剥离内力分析

温度变化会造成环氧树脂-混凝土特种路面结构边缘处产生脱层现象.基于层合结构热应力的两变量解析模型,推导了层间剥离力矩和剥离剪力.该方法避免了采用弹性理论求解局部复杂应力状态的困难,为解决层合结构边界脱层问题提供了新途径;由此,研究了环氧树脂层的厚度和弹性模量对层间剥离内力和混凝土层最大拉应力的影响.计算结果表明,通过控制环氧树脂层厚度和弹性模量,可有效降低剥离内力,避免剥离破坏.     

Sequential Maximum Likelihood Estimation for the Squared Radial Ornstein-Uhlenbeck Process

In this paper, we study the properties of a sequential maximum likelihood estimator of the unknown parameter for the squared radial Ornstein-Uhlenbeck process. The estimator is proved to be closed, unbiased, normally distributed and strongly consistent. Lastly a simulation study is presented to illustrate the efficiency of the estimators.