对高中物理教材中一道例题的思考和拓展

通过分析人教版牛顿第二定律的例题2, 赏析了其优点, 并从2个方面进行了拓展     

Variational iteration method for solving perturbed mechanism of western boundary undercurrents in the Pacific

A class of perturbed mechanisms for the western boundary undercurrents in the Pacific is considered. The model of generalized governing equations is studied. Employing the method of variational iteration, an approximate solution of corresponding model is obtained. It is proved from the results that the solution for the variational iteration method can be used for analysing operation of the perturbed mechanism of western boundary undercurrents in the Pacific.     

广义经典力学系统的第一积分与变分方程特解的联系

给出了广义经典力学系统的变分方程,研究了变分方程的解与系统的第一积分之间的联系,并证明可由系统的第一积分求得变分方程的特解. 关键词： 广义经典力学系统 第一积分 变分方程     

变分原理分析开裂简支箱梁剪力滞效应

变分原理通常应用于箱形截面梁剪力滞效应弹性分析,本文基于换算截面法,运用变分原理推导了预应力混凝土简支箱梁均布荷载作用、钢筋混凝土简支箱梁集中荷载作用的剪力滞系数计算公式,考虑了混凝土开裂对箱梁剪力滞效应的影响,并与试验结果和规范方法进行了对比分析。变分原理分析开裂混凝土箱梁剪力滞效应方法力学概念明确,是其弹性分析适用范围的拓展,亦可推广应用到混凝土连续箱梁开裂后的剪力滞效应分析,具有广阔的应用前景。     

光子晶体光纤中的参变放大与拉曼散射

光子晶体光纤(PFC)有着传统光纤无法比拟的优良特性,特别是具有极好的非线性效应和双折射效应;当输入抽运波偏振方向同双折射轴成45°时,通过引入拉曼增益的洛伦兹模型,研究了光子晶体光纤中在参变放大和拉曼散射共同作用下的增益谱特性.结果表明,由于参变放大和拉曼散射的相互作用,输入功率和群速度失配对光子晶体光纤的增益有重要...     

不均匀磁化薄膜中静磁波对导波光的Bragg衍射

研究了横向不均匀偏置磁场作用下掺Bi的YIG薄膜中微波静磁波的激发和传播特性;采用变分方法计算了静磁正向体波的色散关系和交变磁化强度,分析了不均匀场对静磁波－导波光耦合的影响理论计算得到的衍射效率曲线与实验结果基本一致,表明适当不均匀场可以大大提高磁光Bragg器件的衍射性能.     

厄尔尼诺和南方涛动海气耦合模型中参数估计的变分方法

提出一种基于变分原理估计厄尔尼诺和南方涛动海气耦合模型中未知参数的方法. 首先将所研究的非线性海气耦合动力方程引入到目标泛函中; 接着利用变分方法导出伴随方程和待辨识参数泛函梯度的公式; 然后设计了估计未知参数的算法.数值试验结果表明变分方法是一 种能有效估计海气耦合非线性系统未知参数的方法.     

Investigation on improving characteristics of two-cell SBS system with CCl4/C2H5OH liquid mixture

In order to improve the performance of the two-cell stimulated Brillouin scattering （SBS） system, this paper proposes the methods of using mixtures, which require amplifier media to have small absorption rate, and generator media to have high optical breakdown threshold and Brillouin frequency shift equal to that of the amplification media. The characteristics of the two-cell SBS system are studied experimentally by using CCl4 as amplifier medium and CCl4, C2H5OH and CCl4/C2H5OH liquid mixture as generator medium pumped by Nd：YAG Q-switched laser. The obtained results show that liquid mixture in generator cell improves the power load ability, phase conjugation fidelity, energy reflectivity （ER） and ER stability.     

Variational principles for two kinds of extended Korteweg—de Vries equations

Variational principles are constructed using the semi-inverse method for two kinds of extended Korteweg—de Vries (KdV) equations, which can be regarded as simple models of the nonlinear oceanic internal waves and atmospheric long waves, respectively. The obtained variational principles have also been proved to be correct.     

时间分辨傅里叶变换红外光谱法研究聚偏氟乙烯的晶变

本文用时间分辨傅里叶变换红外光谱（ＴＲ－ＦＴＩＲＳ）法研究了聚偏氟乙烯（ＰＶＤＦ）的晶型转变，并认５０８ｃｍ＾－１峰的增强和５２８ｃｍ＾－１峰的减弱表示ａ晶型向β晶型的转变，瞬变的初期时间约５ｍｓ，在晶型转变中伴随有“磁滞回线”的非线性效应。