POSITIVE SOLUTIONS FOR p-LAPLACIAN DYNAMIC EQUATIONS ON TIME SCALES

The three-point boundary value problems of p-Laplacian dynamic equations on time scales are investigated. By using Krasnosel＇skii＇s fixed-point theorem and fixed-point index theorem, criteria are achieved for the existence of at least one, two or 2n positive solutions. Furthermore, some examples are included to illustrate the main theorems.     

关于一个非线性三阶三点边值问题的正解存在性

An existence theorem of positive solution is established for a nonlinear third-order three-point boundary value problem. Here, we concentrated on the case that the nonlinear term is neither superlinear nor sublinear, and is not asymptotic at zero and infinity.     

细胞自动机方法解小挠度薄板弯曲问题

固体力学中的细胞自动机方法是一种分析固体力学问题的新方法，它将结构的静平衡认为是在力和位移边界条件下，物体元胞间的自组织过程，它不需要象现有有限元那样形成整体刚度矩阵和求解整体平衡方程，对计算机容量要求低，可望成为分析大型结构的有效方法，且特别适宜于并行计算。为拓展其应用范围，本文将其应用于小挠度弹性薄板弯曲的静力计算以检验其可行性。文中给出了详细的计算步骤，以实际算例为基础，探讨了该方法的有效性，并对其优点和目前存在的问题进行了讨论。     

Preferential Uniplanar Orientation of Cellulose Microfibrils Reinvestigated by the FTIR Technique

A simple detection method to observe the uniplanar orientation behavior of native cellulose microfibrils to the cell wall surface by using Fourier transform infrared (FTIR) spectroscopy in the transmission mode is reported. Four bands at 1372, 1355, 1337, and 1317 cm⁻¹ (the latter two have been mentioned previously by Liang and Marchessault (1960, J. Polym. Sci. 43: 85–100)) were found to be sensitive to such orientation: the two middle bands at 1355 and 1337 cm⁻¹ increase remarkably when the 0.60–61 nm lattice planes lie parallel to the cell wall surfaces. The reverse was true when the 0.53–54 nm lattice planes oriented preferentially. Polarization of the two bands at 1372 and 1355 cm⁻¹ was parallel, while that of the other two bands at lower wavenumbers, i.e., at 1337 and 1317 cm⁻¹, was perpendicular to the molecular axis of cellulose. These bands were assigned to OH-related motion, probably to in-plane OH bending, as reported by Maréchal and Chanzy (2000, J. Mol. Spectrosc. 523: 183–196).     

Conformation of Tax-response elements in the human T-cell leukemia virus type I promoter

Background: HTLV I Tax is believed to activate viral gene expression by binding bZIP proteins (such as CRIB) and increasing their affinities for proviral THE target sites. Each 21 by THE target site contains an imperfect copy of the intrinsically bent CRE target site (the TRE core) surrounded by highly conserved flanking sequences. These flanking sequences are essential for maximal increases in DNA affinity and transactivation, but they are not, apparently, contacted by protein. Here we employ non-denaturing gel electrophoresis to evaluate TRE conformation in the presence and absence of bZIP proteins, and to explore the role of DNA conformation in viral transactivation.Results: Our results show that the TRE-1 flanking sequences modulate the structure and modestly increase the affinity of a CREB bZIP peptide for the TRE-1 core recognition sequence. These flanking sequences are also essential for a maximal increase in stability of the CREB-DNA complex in the presence of Tax.Conclusions: The CRE-like TRE core and the TRE flanking sequences are both essential for formation of stable CRIB-TRE-1 and Tax-CREB-TRE-1 complexes. These two DNA segments may have co-evolved into a unique structure capable of recognizing Tax and a bZIP protein.     

Highly Elastic Organic Crystals for Flexible Optical Waveguides

The study of elastic organic single crystals (EOSCs) has emerged as a cutting‐edge research of crystal engineering. Although a few EOSCs have been reported recently, those suitable for optical/optoelectronic applications have not been realized. Here, we report an elastic crystal of a Schiff base, (E)‐1‐(4‐(dimethylamino)phenyl)iminomethyl‐2‐hydroxyl‐naphthalene. The crystal is highly bendable under external stress and able to regain immediately its original straight shape when the stress is released. It displays bright orange–red emission with a high fluorescence quantum yield of 0.43. Intriguingly, it can serve as a low‐loss optical waveguide even at the highly bent state. Our result highlights the feature and utility of “elasticity” of organic crystals.     

斜方晶系α-磷酸三钙晶体的制备及应用

磷酸三钙晶体是磷酸钙生物骨水泥原料的一种，由于它简便易得而得到广泛的研究和应用。将磷酸盐或磷酸盐与碳酸钙的混合粉体在1200～1400℃下煅烧，然后急冷获得单斜α相磷酸三钙晶体，磨细后即可为磷酸三钙骨水泥，虽然比较容易制备，但力学性能很低。本文所制备的磷酸三钙晶体与以往不同，而是通过添加少量的添加剂，制得以斜方α相磷酸三钙晶体为主要成份的固相反应产物，经磨细后与磷酸氢钙以一定的比例混合，得到新型高温型磷酸三钙生物骨水泥。用蒸馏水调和后置于温度为37℃，湿度为100％的条件下，24h后获得的固化体的抗折强度为9．31MPa，同样水化条件下常用的低温单斜a磷酸三钙骨水泥的抗折强度为5．81MPa，强度提高60％。通过x射线衍射对高温固相反应产物、水化产物的组成进行了分析，并用扫描电镜对两种骨水泥水化体的内部结构进行了对比观察。     

基于模糊PID的海洋立管疲劳试验装置控制系统设计

海洋立管作为海洋油气开发的关键设备,在运行期间面临疲劳失效的风险,需要对立管进行疲劳试验。针对海洋立管共振弯曲疲劳试验法,提出基于 S7-300 PLC实现海洋立管共振弯曲疲劳试验装置控制系统的设计思想。采用黄金分割法,寻找确定试件共振频率点;同时,为保障系统能够在该共振频率点稳定运行,采用S7-300 PLC作为核心控制器,结合参数自调节模糊PID控制算法,设计完成疲劳试验装置中转速模糊PID控制器,实现对系统转速的精确控制,使得海洋立管疲劳试验装置控制系统在具有PLC控制灵活、可靠性高等特点的同时,大大提高了其自动化程度。     

D形光纤Bragg光栅弯曲灵敏度的理论和实验研究

用材料力学理论分析了D形光纤Bragg光栅（D-shaped fiber Bragg grating,D-FBG）以及常规光纤Bragg光栅由弯曲引起的轴向应变,得到了光栅Bragg波长漂移的弯曲敏感特性.实验结果和理论计算结果基本相符.与常规FBG相比,该D-FBG的弯曲灵敏度要高近80倍.因此D-FBG可以直接应用于弯曲形变的测量,以及间接应用于压力、加速度等物理量的测量.理论分析和实验结果对采用该类型光纤光栅的器件和传感系统的设计具有参考意义.     

一类二阶三点边值问题单调正解的存在性

利用范数形式的锥上不动点定理,研究了一类二阶微分方程三点边值问题单调正解的存在性．分别给出了齐次和非齐次边界条件下的三点边值问题单调正解存在的充分条件,确定了解曲线的凹凸性,并且给出了一个应用实例．