动力学方程的积分型直接积分法

提出了一个求解动力学问题的新方法(DIM-IM).将动力学方程化成积分方程的形式,借助于该方程构造出了具有显式预测-校正的单步、自起动和四阶精度的积分型直接积分算法.理论分析和算例指出,这一方法较中心差分法、Houbolt法、Newmark法和Wilson-θ法都有较高的精度.本方法适用于强非线性,非保守系统.     

CM－Ⅰ型多功能擦膜摩擦试验机的研制（Ⅰ）─—原理与构成

评价膜－基体系的综合性能的重要指标是其失效的临界载荷。膜－基体系的失效不仅发生在界面，也有可能发生在镀层或底材之中，或许还有可能发生混合失效，因此，在测试膜－基体系失效的临界载荷方面，即使是已经在国内外得到广泛应用的划痕法也有其弱点，为了使膜－基体系的失效临界载荷的测试尽可能地接近于实际使用工况，更能切近实际地反映膜－基体系的综合承载能力，提出了一种擦膜试验法，并且研制了ＣＭ－Ⅰ型多功能擦膜摩擦试验机，同时还着重就这种试验机的测试原理、构成和标定作了阐述，并对试验机的主要技术参数及其功能与特点作了介绍，为评价和研究膜－基体系的摩擦学特性、失效及综合承载能力提供了一种新手段。     

CM－Ⅰ型多功能擦膜摩擦试验机的研制（Ⅱ）─—试验与结果分析

在ＣＭ－Ⅰ型多功能擦膜摩擦试验机上，分别对ＴｉＮ／５２１００钢球－ＴｉＮ／Ｗ９Ｃｒ４Ｖ２Ｍｏ钢板和ＴｉＣ／Ｗ９Ｃｒ４Ｖ２Ｍｏ钢球－ＴｉＮ／Ｗ９Ｃｒ４Ｖ２Ｍｏ钢板等摩擦副在不同条件下作了擦膜摩擦试验．结果表明，利用ＣＭ－Ⅰ型试验机能够较好地测试出在法向力和摩擦力同时作用下膜－基体系的失效临界载荷，而且测试数据的重复性较好；随着摩擦系数的增大，其失效形式是由底材首先屈服，进而发生镀层被压碎并逐渐转化为完全剥离，临界载荷也随之减小，     

Cell processing on polyimide surface patterned by rubbing

In this study, we prepared a novel rubbed fluorinated polyimide film using a rubbing machine with a rubbing cloth and determined the surface properties of the rubbed film using an atomic force microscope and contact angle measurements. In addition, we evaluated the cell adhesion behavior on the rubbed polyimide film using a phase contrast microscope. Interestingly, a rubbed polyimide surface having a micrometer‐scale grooved pattern was prepared by the rubbing method, and the morphologies of rat primary hepatocytes and human liver cell lines attached to the rubbed surface were three‐dimensional multicellular spheroids, while the cells on an unrubbed surface showed two‐dimensional monolayers. This initial study indicates that the rubbing method without any chemical modification is simple and can easily produce large surface areas, suggesting that the rubbing may become a novel cell culture method. Copyright © 2008 John Wiley & Sons, Ltd.     

非线性转子-机匣系统的分岔行为研究

建立了一类非线性转子-机匣系统的碰摩模型.应用数值分析的方法对其进行研究,得到了不同参数变化下系统响应随转速变化的分岔图,分析了系统参数变化对分岔过程的影响,并作出了在相应参数状态和特定转速下的Poincare截面图,揭示系统参数变化对非线性碰摩转子-机匣系统分岔特性的影响.     

Synthesis and characterization of novel polyimides bearing a side chain composed of stilbene mesogen and undecyl spacer and the alignment ability of nematic liquid-crystal molecules

Four different polyimides with side chains containing undecyl spacers and 4-fluorostilbene mesogen end groups were prepared, and their structures and the controllability of the liquid-crystal (LC) alignment with rubbing were investigated. From X-ray scattering and differential scanning calorimetry data, pyromellitic dianhydride (PMDA)-, benzophenone-3,3′,4,4′-tetracarboxylic dianhydride (BTDA)-, and 4,4′-oxydi(phthalic anhydride) (ODPA)-based polyimides were shown to have layered structures and short-range ordering. Pretilt angles of LCs on the rubbed surfaces were 1–9°, depending on the rubbing density and backbone. In particular, the long undecyl spacers caused the mesogenic stilbene end groups to lie next to the main chain, resulting in a reduction in the pretilt angles. © 2001 John Wiley & Sons, Inc. J Polym Sci A: Polym Chem 39: 1800–1809, 2001     

磁轴承失灵后坠落转子瞬态振动灾变机理研究

研究一个带磁轴承的转子系统,在磁轴承失灵后转子坠入备用轴承引起的非线性瞬态振动。通过严格建立运动方程和数值仿真计算,详尽地分析了坠落转子转动角速度变化和轴颈与备用轴承接触点法向力变化的时间历程及备用轴承振动位移的频谱,发现系统发生灾变破坏的原因是由于高速不平衡阻尼转子减速通过临界速度时引起的强烈非稳态受迫弯曲振动加上轴颈与备用轴承接触点碰摩的非线性引起的高频颤振。     

一种改进的弧长法及在结构后屈曲分析中的应用

基于一般的弧长法,提出了一种高效的改进弧长法.通过对增量弧长作了以考虑结构刚度变化为主的加权修正和利用已知平衡点信息的外插修正,而大大提高了求解效率;利用对累加弧长和期望弧长作近似展开的方法使求解能收敛到预定的载荷值,而拓宽了弧长法的应用范围.两个典型算例表明,采用改进的弧长法在板/壳结构后屈曲分析中,无论是追踪后屈曲的全程路径,还是求得指定载荷点的收敛解都有良好的适应性和较高的效率.     

Synthesis and characterization of novel polyimides containing stilbene unit in the side chain and their controllability of nematic liquid crystal alignment on the rubbed surfaces

Four polyimides containing hexylene spacer and a fluorostilbene unit in the side chains were prepared in thin‐film form by two‐step condensation of 3,3′‐bis[(4′‐fluoro‐4‐stilbenyl)oxyhexyloxy]‐4,4′‐biphenyldiamine (FS6B) with pyromellitic dianhydride (PMDA), benzophenone‐3,3′,4,4′‐tetracarboxylic dianydride (BTDA), 4,4′‐oxydi(phthalic anhydride) (ODPA), and 4,4′‐hexafluoroisopropylidenedi(phthalic anhydride) (6FDA), respectively, and their controllability of liquid crystal (LC) alignment on rubbed surfaces was investigated. Pretilt angles of LCs were achieved in the 2–9° range, depending on the rubbing density and backbone structures. The effect of the mesogenic stilbene group on the pretilting of LCs was distinctive in FS6B‐PMDA. Contact‐angle measurements on thin films annealed at 120 °C revealed that FS6B‐PMDA potentially had the better alignment stability than FS6B‐6FDA. © 2001 John Wiley & Sons, Inc. J Polym Sci Part A: Polym Chem 39: 3622–3632, 2001     

Nonlinear and Elasto-Plasticity Consolidation Models of Unsaturated Soil and Applications

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