Magneto-thermoelasticity with thermoelectric properties and fractional derivative heat transfer

In this work, a new model of the magneto-thermoelasticity theory has been constructed in the context of a new consideration of heat conduction with fractional derivative. A one-dimensional application for a conducting half-space of thermoelectric elastic material, which is thermally shocked in the presence of a magnetic field, has been solved using Laplace transform and state-space techniques (Ezzat, 2008 [1]). According to the numerical results and its graphs, a conclusion about the new theory of magneto-thermoelasticity has been constructed. The theories of coupled magneto-thermoelasticity and of generalized magneto-thermoelasticity with one relaxation time follow as limited cases. The result provides a motivation to investigate conducting thermoelectric materials as a new class of applicable materials.     

Adaption of a diffractometer for time‐resolved X‐ray resonant magnetic scattering

A new set‐up is presented to measure element‐selective magnetization dynamics using the ALICE chamber [Grabis et al. (2003), Rev. Sci. Instrum. 74 , 4048–4051] at the BESSY II synchrotron at the Helmholtz‐Zentrum Berlin. A magnetic‐field pulse serves as excitation, and the magnetization precession is probed by element‐selective X‐ray resonant magnetic scattering. With the use of single‐bunch‐generated X‐rays a temporal resolution well below 100 ps is reached. The ALICE diffractometer environment enables investigations of thin films, described here, multilayers and laterally structured samples in reflection or diffuse scattering geometry. The combination of the time‐resolved set‐up with a cryostat in the ALICE chamber will allow temperature‐dependent studies of precessional magnetization dynamics and of damping constants to be conducted over a large temperature range and for a large variety of systems in reflection geometry.     

三层单负材料结构中电磁波模分析

本文分析了由负介电常数材料和负磁导率材料交替排列组成的一维三层结构中的电磁波模式,包括传播模及波导模.传播模对应于入射的行波模,着重研究了发生共振隧穿时场分布和透射谱随入射角度的变化关系,发现改变结构参数时共振隧穿频率会劈裂成两个,且这两个隧穿模的频率间距随着中间层厚度的减小而逐渐加大.波导模是指在结构两边的半无限真空中以倏逝场形式存在的电磁模式,分析了它的存在条件即色散关系,发现这种模在材料的交界面处会出现较强的局域场. 关键词： 单负材料 共振隧穿 传播模 波导模     

Optimal control of semilinear parabolic systems with state constraint

The aim of this work is to obtain the existence of optimal solution and maximum principle for optimal control problem with pointwise type state constraint governed by semilinear parabolic systems with certain polynomial-like nonlinearity. Application to optimal control problems of the phase transition system is given.     

Sampled-data nonlinear observer design for chaos synchronization: A Lyapunov-based approach

This paper considers sampled-data based chaos synchronization using observers in the presence of measurement noise for a large class of chaotic systems. We study discretized model of chaotic systems which are perturbed by white noise and employ Lyapunov-like theorems to come up with a simple yet effective observer design. For the choice of observer gain, a suboptimal criterion is obtained in terms of LMI. We present semiglobal as well as global results. The proposed scheme can also be extended for discrete-time chaotic systems. Numerical simulations have been carried out to verify the effectiveness of theoretical results.     

全桥LLC谐振变流器的简化时域模型及其应用

以全桥LLC谐振变流器作为研究对象,在对LLC谐振变流器的时域工作模式进行深入分析的基础上,建立各个模式的状态方程以及模式间的边界条件,并进一步提出了一种简化的时域分析模型.基于该模型,推导得到了对LLC谐振变流器设计重要意义的变流器增益曲线.应用该简化模型及对应的增益曲线,提出了基于励磁电感L_m和电感比h的LLC谐振变流器的谐振腔参数设计方法.最后,设计并制作了一台300W的样机,仿真和实验结果都验证了该模型的准确性和设计方法的可行性.     

Chaotic motions in the resonant separatrix band of a parametrically excited pendulum

The energy increment spectrum method is developed for the numerical prediction of the appearance and disappearance of a primary (2M: 1)-librational or (M: 1)-rotational resonant separatrix band in a parametrically excited pendulum. The analytical conditions for the presence of such separatrix bands are also obtained. Illustrations of the analytical and numerical results for the appearance and destruction of the resonant bands are given for a comparison.     

大量程折射仪的分步求解算法

针对折射率m线法失效于对称金属包覆波导的大量程折射仪,本文根据模式色散方程和衰减全反射谱,提出了一种分步求解算法.首先将波导层为空气时的共振角度,由二分法及共振角处反射率之和应为最小,计算得到波导层的最优厚度.然后利用波导层最优厚度和波导层为样品时的共振角度,计算出样品的最优折射率.这种算法简单、迅速、误差小.以纯水为例,利用该算法所得结果与真实值一致.     

非线性铁磁谐振电路的分析

采用综合分析法集中讨论了铁磁谐振电路的渐近解、幅-频特性曲线、跳跃、滞后等一系列问题,所得结果与各单一方法所得的结果相同.