等示值法在RLC串联谐振电路实验中的应用

研究结果表明采用等示值法在品质因数Q1的情况下,可以精确确定谐振频率,从而实现对电容的精确测定。     

任意高差的多档输电线动刚度理论建模

针对目前多档输电线动力特性研究中存在的不足,将任意一档导线视为子结构并基于现有的索振动理论获得了其动张力;利用相邻两档导线的动张力建立了悬垂绝缘子串绕其悬挂点摆动的动力学方程;综合每一档导线的振动方程以及悬垂绝缘子串的摆动方程建立了两档及三档输电线的动力学方程,求解得到由端部位移激励产生的动刚度;通过对动刚度进行分析得到了多档输电线的固有频率以及模态的理论表达形式;建立了小高差的两档及三档导线的有限元模型,理论分析结果与有限元结果一致,验证了理论公式的正确性。本文提出的动刚度理论对于研究多档输电线的动态响应具有重要的应用价值。     

FREE VIBRATION ANALYSIS OF LATTICE SANDWICH BEAMS UNDER SEVERAL TYPICAL BOUNDARY CONDITIONS

Free vibration problems of lattice sandwich beams under several typical boundary conditions are investigated in the present paper. The lattice sandwich beam is transformed to an equivalent homogeneous three-layered sandwich beam. Unlike the traditional analytical model in which the rotation angles of the face sheets and the core are assumed the same, different rotation angles are considered in this paper to characterize the real response of sandwich beams. The analytical solutions of the natural frequencies for several typical boundary conditions are obtained. The effects of material properties and geometric parameters on the natural frequencies are also investigated.     

NMR Parameters and Vibrational Investigation of 2-Dicyanovinyl-5-（4-ethoxyphenyl） thiophene by ab initio HF and DFT Calculations

Optimized geometry and harmonic vibrational frequency of 2-dicyanovinyl-5-(4- ethoxyphenyl)thiophene (C16H12N2OS) are calculated at the HF/6-31++G(d,p) and B3LYP/6- 311++G(d,p) levels. Mulliken charges in the ground state are also calculated. The research shows the presence of intermolecular interaction in the title compound. The scaled harmonic vibrational frequencies have been compared with experimental FT-IR spectra. A detailed interpretation of the infrared spectra of the title compound is reported. The theoretical spectrograms for IR spectra of the title compound have been constructed. The isotropic chemical shift computed by 13C and 1H NMR analyses also shows good agreement with the experimental observations.     

Editorial for Special Issue on Terahertz Technologies and Applications

Terahertz radiation,defined in the frequency range of 0.1-10 THz,has been exploited to demonstrate unique properties that do not apply to the adjacent domains of the electromagnetic waves,such as infrared and microwave.Recent advances in terahertz science and technology hold promise for a wide variety of essential applications,particularly in spectroscopy,sensing,imaging,non-destructive detections,and communications.This focus issue is comprised of invited and contributed original     

Analysis of ultra-short pulse shaping with programmable amplitude and phase masks

Specified ultra-short pulse waveforms could be synthesized with high-resolution zero-dispersion pulse shaping system.The system and parameters are analyzed and discussed.The pulse shaping system with optimized parameters could resolve the frequency components of ultra-broad bandwidth pulse and prevent the spatial shaping of individual frequency components.The specified waveforms,Meyer wavelet and square root raised cosine pulses,are generated with programmable amplitude and phase masks.     

分数阶p-Laplace方程解的单调性公式

研究了分数阶p-Laplace方程解的单调性公式.基于Caffarelli-Silverstre的延拓技术,将分数阶p-Laplace方程相应的扩展问题表述为半空间中一个退化或奇异局部方程.通过建立与扩展问题相关的Almgren型频率函数,结合散度定理和积分估计获得了延拓函数的单调性公式.     

对RC桥式振荡器工程计算方法的探讨

探讨集成运放的开环电压增益和电路各电阻对RC桥式振荡电路表达式的影响.基于集成运放低频简化模型,提出采用拉氏变换与电阻比值相结合的方法,推导振荡器在不同工况下的数学表达式.研究结果对现有工程表达式提出了修正,对振荡参数的现场计算有指导意义,计算机软件仿真验证了结论的正确性.     

一道“难题”的再探究

1．问题的提出文 [1]，张乃贵老师采用“联想、转化”的方式，使用“先变形，再放缩”的方法，得到一道难题的巧解，并给出了详细的思考过程．笔者认为，这是一道二元函数最值问题，通过消元的办法将问题转化为一元函数的最值问题处理较为恰当，既符合解题规律，又符合学生的认知规律．笔者通过构造一元函数，结合复合函数的导数知识，给出这道题的常规解法及一般情形，并分析该问题的数学背景，现介绍如下，供读者参考．     

立体几何问题解决中的转化方法

在研究立体几何的问题时，我们发现很多问题都需要转化成平面几何的问题，本文中我们结合北京近几年的几道考题，来谈谈如何进行转化．