用波尔共振仪研究受迫振动特性

介绍了波尔共振仪实验系统的基本结构及原理,测定了幅频和相频特性曲线,分析了实验系统误差.研究发现,当系统发生共振时,驱动频率和固有频率近似相等且相位差为90°.     

利用光电鼠标实现玻尔共振仪混沌现象的数据采集

用半导体激光器作为光源,利用鼠标接收经由金属物体漫反射的激光,实现了对玻尔共振仪产生混沌现象的数据进行非接触的测量过程.     

波尔共振实验"异常现象"的研究

对波尔共振实验中的两个"异常现象"进行了研究.研究发现,轴承摩擦和弹簧非线性效应是造成阻尼振动实验中出现"异常现象"的主要因素;电机转速的不稳定性能够导致受迫振动实验中"异常现象"的出现.通过添加两个非线性项和一个频率修正项,经数值计算表明,实验中的"异常现象"能得到很好的分析和解释.     

波尔共振仪实验的网络化教学

本文介绍网络化的智能型波尔共振仪实验系统的基本结构，信息控制与实验软件，网络化教学管理的实现，及其在实验教学中的应用．     

用波耳共振仪研究受迫振动

本文介绍了用波耳共振仪器测量受迫振动的振幅－频率特性与相位－频率特性。     

利用Origin处理波尔共振实验数据

介绍了如何利用origin软件处理波尔共振实验数据的方法。     

波尔共振实验中基于旋转矢量的相位差分析

在波尔共振实验中,通过引入两个旋转矢量分别描述受迫振动和强迫力,解决了实验中频闪法测相位差原理阐述不清的问题.针对有机玻璃转盘上白线与刻度盘零刻线分别成锐角和钝角的情况,由旋转矢量法分别给出了受迫振动与强迫力的相位差.研究发现,无论白线指向刻度盘的哪个区域,受迫振动与强迫力的相位差始终为-π/2与有机玻璃转盘的白线所指向角度之差.     

MAT LA B在波尔共振实验数据处理中的应用

介绍了如何利用 MAT LA B软件处理波尔共振实验数据的方法     

波尔共振实验中幅频特性曲线及相频特性曲线的演化

通过研究波尔共振实验中摆轮在周期性的电机策动力的作用下做受迫振动时的幅频特性和相频特性,经过合理演化最终给出几种不同的幅频特性及相频特性曲线形式。     

波尔共振仪相位差测量方法的改进

介绍了波尔共振仪研究机械受迫振动的幅频特性和相频特性的用途，阐述了频闪法测定相位差和利用脉冲电路改进相位差测量的方法，给出了改进方案电路方框图及各点波形图并分析了数字显示相位差的理论依据．     

用隆格-楞兹矢量推导玻尔公式

利用隆格一楞兹矢量这一守恒量,在经典力学的框架中推导了量子力学中的玻尔能级公式,这样可以避开复杂的积分,使求解过程大大简化.     

System Size Resonance Associated with Canard Phenomenon in a Biological Cell System

通过研究发现,内噪声对细胞内钙振荡是有影响的,当体系处于由确定性方程所确定的稳定区域时,如果考虑内噪声的作用,就会有随机的钙振荡发生. 并且这种振荡的行为随着体系尺度的变化出现两个最大值,表明了尺度共振现象的发生. 这种行为是与体系的Canard现象密切相关的. 最佳的体系尺度与真实的细胞体积是相吻合的,并且这种吻合基本不随控制参数的改变而改变.     

共振、混沌与束晕形成

研究强流束中的非线性共振、混沌与束晕形成的关系.给出强流束中非线性共振范围的表达式及其随束流空间电荷效应变化的数值结果和图表曲线,提出由非线性共振而激发的束晕形成的空间电荷效应极限,并分析束晕形成的过程.     

外力驱动的混沌摆实验仪在研究混沌效用上的应用

依据非线性动力学混沌理论,采用受外力驱动的转动马达装置,依托PASCO系统的数据采集软件,开发了适应大学物理实验的受外力驱动的混沌摆实验。探讨了新型基于外力驱动的混沌摆实验仪在研究混沌效用上的应用,实验发现利用该装置可以直观的研究系统的初值敏感性,奇异子现象等,操作简单、直观、灵敏度高,实验除了具有实际应用价值外,同时适合在高等学校大学物理基础实验中开设出相应的实验教学内容。     

滚球混沌运动演示实验

以滚球在3个凹形槽上的受力体现作用的非线性,导轨由电机推动作简谐振动,滚球在导轨上作受迫(滚动)振动,可以把导轨作简谐振动的频率或振幅作为调整参量.当受迫振动的滚球振幅小时,滚球只在1个凹形槽中作简谐振动;当振幅渐渐增大时,可呈现周期倍增和渐至混沌状态.通过观察安装在同一振动滑板上的2套导轨上的滚球的运动,则可以演示混沌运动对初值的敏感性.     

台式核磁共振仪变温探头系统的研制

变温探头系统是拓展低场强核磁共振仪应用领域的重要部件. 半导体致冷片由于体积小,功耗低,控制方便,广泛应用于各种制冷场合. 本研究利用半导体致冷组件研制的变温探头系统能实现-20 ℃~60 ℃范围变温,相比传统高场强核磁共振波谱仪变温探头系统,结构简单、性价比高. 在NMI20-analyst台式核磁共振仪上应用3.5%的CuSO₄水溶液对本变温系统进行了测试,实验效果能够体现出相应的规律,具有实用价值. 最后对系统与实验结果进行了讨论,给出了改进方案.     

Extended study on a quasi-exact solution of the Bohr Hamiltonian

A unified presentation of the quasi-exact solutions of the Bohr Hamiltonian with a sextic oscillator potential is offered by evidencing the similarities and the differences between them. An extended study of the Bohr Hamiltonian with sextic potential for γ$\gamma$-rigid triaxial nuclei is conducted, focusing on the evolution of the energy spectra and B(E2)$B\left(E2\right)$ transition probabilities when the order of the quasi-exactly solvable system is increased. The effect is analyzed throughout the shape phase transition from a γ$\gamma$-rigid triaxial vibrator to an anharmonic one and especially in its critical point. The new results are tested by several applications for experimental data, improving the previous calculations and providing new possible triaxial nuclei.     

Chaos communication based on synchronization of discrete-time chaotic systems

A novel chaos communication method is proposed based on synchronization of discrete-time chaotic systems. This method uses a full-order state observer to achieve synchronization and secure communication between the transmitter and the receiver. Further, we present a multiple-access chaotic digital communication method by combining the observer with the on-line least square method. Simulation results are also given for illustration.     

X-ray emission for Ar11+ ions impacting on various targets in the collisions near the Bohr velocity

X-ray emission from the collisions of 3 MeV Ar¹¹⁺ ions with V, Fe, Co, Ni, Cu, and Zn is investigated. Both the x-rays of the target atom and projectile are observed simultaneously. The x-ray yield is extracted from the original count. The inner-shell ionization cross section is estimated by the binary encounter approximation model and compared with the experimental result. The remarkable result is that the Ar K-shell x-ray yield is diminished with the target atomic number increasing, which is completely opposite to the theoretical calculation. That is interpreted by the competitive consumption of the energy loss for the ionization of inner-shell electrons between the projectile and target atom.     

Resonance and antiresonance characteristics in linearly delayed Maryland model

The Maryland model is a critical theoretical model in quantum chaos. This model describes the motion of a spin-1/2 particle on a one-dimensional lattice under the periodical disturbance of the external delta-function-like magnetic field. In this work, we propose the linearly delayed quantum relativistic Maryland model (LDQRMM) as a novel generalization of the original Maryland model and systematically study its physical properties. We derive the resonance and antiresonance conditions for the angular momentum spread. The "characteristic sum" is introduced in this paper as a new measure to quantify the sensitivity between the angular momentum spread and the model parameters. In addition, different topological patterns emerge in the LDQRMM. It predicts some additions to the Anderson localization in the corresponding tight-binding systems. Our theoretical results could be verified experimentally by studying cold atoms in optical lattices disturbed by a linearly delayed magnetic field.