Nonlinear oscillations and boundary value problems for Hamiltonian systems

We prove the existence of solutions of various boundary-value problems for nonautonomous Hamiltonian systems with forcing terms $$\begin{gathered} \dot x(t) = H'_p (t, x(t), p(t)) + g(t), \hfill \\ \dot p(t) = - H'_x (t, x(t), p(t)) - f(t). \hfill \\ \end{gathered} $$ Among these problems is the existence of T-periodic solutions, namely those satisfying x(t+T)=x(t) and p(t+T)+p(t). A special study is made of the classical case, where H(x, p)=1/2 |p|²+V(x). In the case of parametric oscillations, where (f, g)=(0, 0) and t ? H(t, x, p) is T-periodic, we give a lower bound for the true (minimal) period of the T-periodic solution (x, p) produced by our method, and we prove the existence of an infinite number of subharmonics.     

超细氧化铁对TNT炸药爆热的影响

利用均匀沉淀法制备得到纳米级氧化铁,研究了不同粒度的氧化铁颗粒对TNT炸药爆热的影响。结果表明:随着氧化铁颗粒度的减小,它与TNT组成的混合炸药的爆热得到有效的提高。     

Real-life experiences with flow-induced vibration

A number of occurrences of flow-induced vibration in the power-generating industry are presented, many in nuclear plant where all incidents/problems have to be reported. Specifically, cases of (i) vortex-induced vibration (VIV), (ii) fluidelastic instability in cylinder arrays, (iii) axial and (iv) annular-flow-induced vibration, (v) leakage-flow instability and (vi) shell-type ovalling are discussed. For items (ii), (v) and (vi), a few words on the mechanisms underlying the vibration are provided.     

On the boundedness and the stability properties of solution of certain fourth order differential equations

This paper investigates equation(1)in two cases:(i)P≡0,(ii)P(≠O)satisfies|P(t,x,y,z,ω)|≤(A |y| |z| |ω|)q(t),where q(t)is a nonnegative function of t.For case(i)the asymptotic stability in the large of the trivial solution x=0 is investigatedand for case(ii)the boundedness result is obtained for solutions of equation(1).Theseresults improve and include several well-known results.     

Synthesis of submicron-sized composite particles with unique morphology by emulsifier-free seeded emulsion copolymerization

Polystyrene (PSt) microspheres with diameter of 375 nm to be used as the seeds for seeded emulsion polymerization were prepared via emulsion polymerization using potassium persulfate (KPS) as initiator in ethanol-water mixed solvents.Emulsifier-free seeded emulsion copolymerization of styrene (St) with acrylonitrile (AN) was carried out in the presence of poly(ethylene glycol) monomethoxymonomethacrylate (PEGm)macromonomer as reactive stabilizer and 2,2'-azobisisobutyronitrile (AIBN) as initiator to obtain submicron-sized PEGm graft poly(styrene-co-acrylonitrile) (PEGm-g-PSAN) composite particles with unique morphology.Scanning electron microscopy (SEM) indicated that St and AN together contributed to forming the unusual morphology.The concentration of St and AN,total monomer concentration,initiator type and the monomer adding method remarkably affected the morphology of the composite polymer particles.     

A uniform high-order method for a singular perturbation problem in conservative form

A uniform high order method is presented for the numerical solution of a singular perturbation problem in conservative form. We firest replace the original second-order problem (1.1) by two equivalent first-order problems (1.4), i.e., the solution of (1.1) is a linear combination of the solutions of (1.4). Then we derive a uniformly O(h~m+1)accurate scheme for the first-order problems (1.4), where m is an arbitrary nonnegative integer, so we can get a uniformly O(h~m+1) accurate solution of the original problem (1.1) by relation (1.3). Some illustrative numerical results are also given.     

(Q)SAR modelling of nanomaterial toxicity: A critical review

There is increasing recognition that some nanomaterials may pose a risk to human health and the environment. Moreover, the industrial use of the novel engineered nanomaterials (ENMs) increases at a higher rate than data generation for hazard assessment; consequently, many of them remain untested. The large number of nanomaterials and their variants (e.g., different sizes and coatings) requiring testing and the ethical pressure towards nonanimal testing means that in a first instance, expensive animal bioassays are precluded, and the use of (quantitative) structure–activity relationships ((Q)SARs) models as an alternative source of (screening) hazard information should be explored. (Q)SAR modelling can be applied to contribute towards filling important knowledge gaps by making best use of existing data, prioritizing the physicochemical parameters driving toxicity, and providing practical solutions for the risk assessment problems caused by the diversity of ENMs. This paper covers the core components required for successful application of (Q)SAR methods to ENM toxicity prediction, summarizes the published nano-(Q)SAR studies, and outlines the challenges ahead for nano-(Q)SAR modelling. It provides a critical review of (1) the present availability of ENM characterization/toxicity data, (2) the characterization of nanostructures that meet the requirements for (Q)SAR analysis, (3) published nano-(Q)SAR studies and their limitations, (4) in silico tools for (Q)SAR screening of nanotoxicity, and (5) prospective directions for the development of nano-(Q)SAR models.     

流变学研究的若干问题

本文综述了1988年8月第10届国际流变学会议部分大会邀请报告及分组报告的下列几个领域内容:①分子动力学;②光学流变测量;⑧血液的动态测量;④数值仿真;⑤钻探油井;⑥强化采油;⑦减阻;⑧聚合物挤压成形加工;⑨食品流变学.     

线性徐变问题的两个定理及对计算方法的简化

在大体积混凝土结构中，徐变应力的分析是个十分重要的问题。本文在线性徐变条件下，（１）导出了关于徐变度和松弛系数的两个定理；（２）提出了直接由徐变度求松弛系数的一种递推公式；（３）对求解徐变问题的初应变法和初应力法，导出了对于任意的松弛系数和徐变度表达式的一般递推公式，从而简化了计算方法，避免了应变或应力历史资料的存贮，节省计算机的大量存贮量。     

PREFACE

This special issue contains 16 papers selected from the presentations at the 8th International Conference on Fundamentals of Fracture (ICFF Ⅷ),which was successfully held during 3-7 January 2008 at the Clear Water Bay and Nansha Campuses,Hong Kong University of Science & Technology.ICFF are the series of international conferences on fundamentals of fracture with the highest academic reputation.ICFF Ⅷ is the successor of the previous seven held at NBS,Gaithersburg (USA,1983),Gatlinburg (USA,1985),Irsee (Germany,1989),Urabandai (Japan,1993),NIST,Gaithersburg (USA,1997),Cirencester (UK,2001),and Nancy (France,2005).     

Robust adaptive speed control of uncertain hybrid electric vehicle using electronic throttle control with varying road grade

The design objective of this paper is to apply various control techniques to control the speed of a hybrid electric vehicle (HEV) using an electronic throttle control system (ETCS). The DC servo motor is used for controlling the angular position of the throttle valve. A proportional-integral-derivative (PID), a self-tuning fuzzy PID (STF-PID) controller and a model reference adaptive system (MRAS) with a sliding mode (SM) adaptation mechanism are used for controlling the speed of the nonlinear vehicle. The integral error performance indices (IEPI) such as the integral of the absolute error (IAE), the integral of the square of error (ISE) and the time domain performance specifications such as overshoot (OS), settling time (ST) and rise time (RT) are taken into consideration for the performance analysis of HEV. The robust H_∞ controller using mixed sensitivity approach is designed and implemented for the linearized HEV. The robust stability of uncertain HEV with H_∞ controller using Kharitonov’s theorem is analyzed, and the stability margin of the linearized vehicle system is determined. These control techniques are developed to achieve the robust performance of the throttle controlled HEV with the target to achieve a wide range of speed, fuel economy, reduced pollution and improved efficiency.     

Extension and characterization of pressure-sensitive molecular film

Pressure-sensitive paint (PSP) has the potential as a diagnostic tool for pressure measurement in high Knudsen number regime because it works as a so-called “molecular sensor”. However, there are few reports concerning application of PSP to micro-devices, because conventional PSPs are too thick owing to polymer binders. In our previous work, we adopted the Langmuir–Blodgett (LB) technique to fabricate the pressure-sensitive molecular film (PSMF) using Pd(II) Mesoporphyrin IX (PdMP), which has pressure sensitivity only in the low pressure range (below 130 Pa). In this study, aiming for pressure measurement under an atmospheric pressure condition, we have constructed four samples of PSMFs composed of Pt(II) Mesoporphyrin IX (PtMP), Pt(II) Mesoporphyrin IX dimethylester (PtMPDME), Pt(II) Protoporphyrin IX (PtPP) and Cu(II) Mesoporphyrin IX dimethylester (CuMPDME) as luminescent molecules. The pressure sensitivity of those PSMFs was measured, and it was clarified that the pressure sensitivity of PSMF-PtMP is the highest among the four samples. Moreover, the temperature dependency of PSMF-PtMP was investigated, and we found that the temperature dependency of PSMF is dominated not by the oxygen diffusion in the layer, but by non-radiative deactivation process of excited luminescent molecules.     

粘性土(红土)中游离氧化铁含量对其工程地质性质的影响

通过试验, 本文就游离氧化铁在粘性土尤其是红土中富积含量的变化对土体工程地质性质产生的影响及其规律性做了初步研究。     

Synthesis of submicron-sized composite particles with unique morphology by emulsifier-free seeded emulsion copolymerization

Polystyrene （PSt） microspheres with diameter of 375 nm to be used as the seeds for seeded emulsion polymerization were prepared via emulsion polymerization using potassium persulfate （KPS） as initiator in ethanol-water mixed solvents. Emulsifier-free seeded emulsion copolymerization of styrene （St） with acrylonitrile （AN） was carried out in the presence of poly（ethylene glycol） monomethoxymonomethacrylate （PEGm） macromonomer as reactive stabilizer and 2,2＇-azobisisobutyronitrile （AIBN） as initiator to obtain submicron-sized PEGm graft poly（styrene-coacrylonitrile） （PEGm-g-PSAN） composite particles with unique morphology. Scanning electron microscopy （SEM） indicated that St and AN together contributed to forming the unusual morphology. The concentration of St and AN, total monomer concentration, initiator type and the monomer adding method remarkably affected the morphology of the composite polymer particles.     

Solid-state synthesis of Li[Li_(0.2)Mn_(0.56)Ni_(0.16)Co_(0.08)]O_2 cathode materials for lithium-ion batteries

Layered Li|Li_(0.2)Mn_(0.56)Ni_(0.16)Co_(0.08]O_2 cathode materials were synthesized via a solid-state reaction for Liion batteries,in which lithium hydroxide monohydrate,manganese dioxide,nickel monoxide,and cobalt monoxide were employed as metal precursors.To uncover the relationship between the structure and electrochemical properties of the materials,synthesis conditions such as calcination temperature and time as well as quenching methods were investigated.For the synthesized Li[Li_(0.2)Mn_(0.56)Ni_(0.16)Co_(0.08)]O_2materials,the metal components were found to be in the form of Mn~(4+),Ni~(2+),and Co~(3+),and their molar ratio was in good agreement with stoichiometric ratio of 0.56:0.16:0.08.Among them,the one synthesized at 800 C for 12 h and subsequently quenched in air showed the best electrochemical performances,which had an initial discharge specific capacity and coulombic efficiency of 265.6 mAh/g and 84.0%,respectively,and when cycled at 0.5,1,and 2C,the corresponding discharge specific capacities were 237.3,212.6.and 178.6 mAh/g,respectively.After recovered to 0.1 C rate,the discharge specific capacity became259.5 mAh/g and the capacity loss was only 2.3% of the initial value at 0.1 C.This work suggests that the solid-state synthesis route is easy for preparing high performance Li[Li_(0.2)Mn_(0.56)Ni_(0.16)Co_(0.08)]O_2 cathode materials for Li-ion batteries.     

Generalized derivatives of a region function and its applications

This paper is based on some fundamental concepts im [7], Clarke’s generalizedderivatives,as well as Lasotra’s and Strauss’s definitions of differential D(x) of amultivalued function f(x).Thereby,the generalized derivatives of a region function F(x) isdefined asD_F(x)=U∩{G(x)(?)B(R), (?)x∈B(R); G(x)=F’_x=F’(x)}The existence of the generalized derivatives of a region function F(x) is discussed:thenecessary and sufficient conditions of existence of the Fréchet generalized derivatives ofsuch a function is established.     

小牛血清边界润滑条件下西佛碱铜配合物改性超高分子量聚乙烯往复摩擦磨损行为

采用自行研制的往复摩擦磨损试验机,在小牛血清边界润滑条件下,研究了含5wt%?10wt%?15wt.%乙二胺缩水杨醛西佛碱(Schiffbase)铜(Ⅱ)配合物的改性超高分子量聚乙烯(UHMWPE)与钛合金(Ti6Al4V)配副的往复摩擦磨损性能.利用扫描电子显微镜及白光共焦三维轮廓仪观察其磨损表面形貌,采用EDS和XPS分析磨损表面的主要元素组成及其价态,并探讨其磨损机理.结果表明:在15%质量分数范围内,随乙二胺缩水杨醛Schiff碱铜(Ⅱ)配合物加入量的增加,改性UHMWPE与钛合金配副的摩擦系数逐步降低,耐磨性逐步提高;磨损机制均为三体磨料磨损.     

A review: Acoustic emission,a tool for composite-materials studies

The technique of acoustic emission has two broad applications areas. The first is nondestructive evaluation. The second is as a tool in studies or research which are not fundamentally directed towards acoustic emission. It is this second application with which we are concerned here. Acoustic emission is a very useful tool in this role because of its high sensitivity, real-time capability, volume-monitoring approach, and sensitivity to any process or mechanism which generates sound waves. This paper presents a comprehensive review of areas where acoustic emission (AE) has been used for materials studies on composite materials. The following fields, among others, will be covered: (1) time-dependent composite properties, (2) impact studies, (3) correlation of AE with stress level, (4) application to matrix cure studies, (5) relationship of AE-detected damage to other measures of damage, (6) studies of the effects of matrix material, (7) application to differences in second phase, (8) interface studies, (9) AE and dimensional stability, (10) AE applied to orientation studies, and (11) environmental effects. This review will emphasize the roles that AE can play as a tool for the materials scientist: (1) discovery of damage mechanisms, (2) characterization of damage progression with increasing time or stress, (3) optimization of fabrication variables, and (4) reduction in the numbers of test specimens required in various studies.     

Qualitative Analysis for a Class of Second-order Nonlinear System with Delay

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饱和多孔介质分析解的唯一性与应变局部化分岔

基于不连续性分岔基本理论导出了静态非渗流状态下弹塑性饱和多孔介质应变局部化发生时的临界硬/软化模量,利用二阶功正定性原理研究了两相问题分析解的唯一性问题,并给出了基于主轴空间下解的显式表达式。研究工作表明,在静态非渗流状态下,弹塑性饱和多孔介质分析的唯一性与应变局部化发生的临界条件除了在量值上与单相介质有着明显的不同外两者之间还有许多一致的特性,这些一致的特性对问题的分析是十分重要的。