Optical nonlinearity and ultrafast dynamics of ion exchanged silver nanoparticles embedded in soda-lime silicate glass

Ag nanoparticles embedded in soda-lime silicate glass were fabricated by ion-exchange and subse-quently annealing method. Z-scan technique, femtosecond time-resolved optical Kerr effect （OKE） technique and femtosecond pump-probe experiment were used to investigate the effects of laser wavelength and laser pulse duration as well as annealing temperature on the third-order optical nonlinearity and ultrafast dynamics of the composites. It was found that the third-order susceptibility of Ag nanoparticles composite glass measured by 400 nm pulse source is larger than that measured by 800 nm pulse source due to an enhancement effect of local field near surface plasmon resonance of Ag nanoparticles in silicate glass. The third-order optical nonlinearity measured by ns laser source is about two orders of magnitude larger than that measured from fs pulse. The annealing temperature has an important effect on the third-order optical nonlinearity and ultrafast dynamics of the composites. Third-order nonlinear susceptibility up to 10^-l0 esu and fast relaxation process up to 0.2 ps have been obtained in Ag nanoparticles doped glass.     

保险精算方法在期权定价模型中的应用

Norbert Sehmitz用反例证明Mogens Bladt与Tina Hvid Rydberg提出的期权定价的精算公式是错误的.在修正Bladt和Rydberg提出的精算公式基础上,从评估实际损失和相应概率分布角度来定量研究期权价值构成,获得基于保险精算方法的期权定价模型,并进一步推导出经典Black-Scholes期权定价公式.精算方法在一定程度克服了基于无风险套利、复制思想得到的B-S模型假设严格、公式推导较为繁琐的不足,指出精算定价与B-S期权定价方法之间的差异.最后给出算例探讨保险精算方法在期权定价理论中的应用,为实践中合理确定期权价格提供理论和实践参考价值.     

面向轮廓精度控制的误差补偿方法

在分析了常用几种误差补偿方法的基础上,指出基于轮廓度误差的误差补偿方法的不足.从轮廓精度与位姿误差无关的特性出发,提出了一种直接面向轮廓精度控制的误差补偿方法--几何自适应误差补偿,论述了该方法的两个组成部分--轮廓匹配和误差预估,推导出效率很高的轮廓匹配公式.仿真结果表明:所提方法可以减小轮廓误差,提高轮廓精度,并能实现高精度轨迹控制.     

Longitudinal Acceleration Tracking Control of Low Speed Heavy-Duty Vehicles

This paper presents a model matching control （MMC） method based on the sliding mode control （SMC） method for longitudinal acceleration tracking control in a vehicular stop-and-go cruise control system. The nonlinearity of the vehicle acceleration response at low speeds was analyzed to develop a transfer function model of the vehicle longitudinal dynamics using the least-mean-square system identification technique. This transfer function was then used to design the MMC controller, including an SMC feedback compensator. The system combines the advantages of the two control methods with robust control and rapid response. Simulations show that the controller enhances the rapid trackability to the vehicle acceleration and improves the system＇s robustness at low speeds compared with conventional PID MMC controllers.     

半连续函数的几何凸性

通过类比半连续函数的凸性,在半连续前提下,给出了几何凸函数和严格几何凸函数的不等式刻划,从而将凸性的结果推广到几何凸性上来.     

Dynamic Response during the Online Compensation of Misalignment Based on Auxiliary Electromagnetic Support

A new support structure, named auxiliary electromagnetic support, is introduced to adjust the position of rotor shaft online. The auxiliary electromagnetic support consists of sliding bearing, iron core, radial spring, pedestal and electromagnet that could adjust the rotor position. In a rotor system adopting two auxiliary electromagnetic supports, the online compensation of misalignment was achieved without stopping work. Using the proposed auxiliary electromagnetic support, the analytical solution of dynamic response was obtained by analyzing a simulated single-degree-of-freedom（SDOF） system. And the dynamic response of the multi-degrees-of-freedom（MDOF） system in the experiment is acquired using Newmark variable step-size integration method. Further the new design is tested in a symmetrical single-disk rotor-bearing system. With both the theory analysis and the experimental results, some conclusions are obtained about the relationship between the vibration and the system damping which are related to system stability.     

改进的重标度极差法用于人体步态信号的动力学探测

作为人体输出生理信号之一的步态信号通常呈现一定的分形结构,具有明显的非线性特征,如何准确地探测到人体运动控制这一复杂生理系统的动力学特征具有重要的现实意义.本文通过一种改进的重标度极差法准确地捕捉到了不同自由行走速度下人体步态信号的动力学分形特征,而将原始步态时间间隔序列随机打乱顺序,获得的新序列则呈现出明显的随机性;通过与按节拍器产生的三种对应行走速率下的步态信号进行分析和比较后发现:正常健康人体输出的步态信号呈现出长程正相关性,而按节拍器节律获得的步态信号则长程正相关性减弱甚至消失,证明了人体运动控制系统调控输出步态信号的重要性.步态信号的动力学分形特性是健康人体的固有特征,具有很强的鲁棒性.缩短步态时间间隔序列长度后分析,该方法依然能够有效地探测到正常健康人体步态信号的动力学特征,并且算法简单可靠、运算快速、参数敏感、抗干扰能力强,研究结果对于人体运动控制系统的建模以及量化步态信号动力学的生理状态具有一定的应用价值.     

利用腔QED实现非常规几何量子相位门

提出一个基于压缩算符的非常规几何量子相位门的方案.在腔QED系统中,在强共振经典场驱动下,利用两个三能级原子与腔模的双光子相互作用,研究了两量子比特非常规几何量子相位门,发现它与腔模占有数有关,当腔模初始时处于真空态,这个方案对腔模衰变不敏感.     

一类非线性抛物方程组解的爆破时间下界估计

使用构造辅助函数和微分不等式方法,得到在有界区域ΩR~n(n≥3)且满足齐次Dirichlet边界条件情况下,带有梯度项的非线性抛物方程组解的爆破时间下界.     

单元解体法精确求解梁元无应力构形

基于非线性二阶梁柱理论及CR-UL全量求解方法,利用单元解体理论(几何法及零作用法)精确求解平面结构中梁元的完整无应力构形.利用目标构形几何信息及其对应的单元抗力直接求解梁元无应力构形基本参数;采用几何法直接进行坐标转换即得构件单元完整无应力构形;采用零作用法并利用无应力构形基本参数进行逆向计算亦可求解其完整无应力构形;编写程序对提出的两种方法进行了算法及最终结果的验证.结果表明利用几何法可在不建立结构有限元模型的条件下精确高效求解构件的完整无应力构形,利用零作用法亦可精确求解构件完整无应力构形,但需编写完善的几何非线性程序.