对称非线性弹簧振子的周期特性

通过计算机编程(Quick Basic)描绘对称非线性弹簧振子振动的特性曲线,使难懂的物理过程变得直观、形象。对称非线性弹簧振子的振动是一种周期性振动,但不是严格的简谐振动,其振动周期随非线性系数、振幅的变化而偏离简谐振动的周期。     

关于弹簧振子振动周期的讨论

本文讨论了在“简谐振动的研究”实验中，弹簧质量对振动周期的影响。推导出了弹簧的有效质量，得到与实验相符的振动周期公式。     

弹簧振子实验研究

将焦利秤和转动惯量实验中的光电计时器相结合,增加一个新的实验项目———研究弹簧振子的周期变化规律,以求得弹簧的劲度系数和弹簧的有效质量.     

用Audition软件辅助测量弹簧振子的振动周期

介绍利用adobe audition 1.5软件测量弹簧振子的周期,研究周期与质量的关系.该方法能将测量值精确到0.001,从而提高实验精确度.     

用改进的光电门进行实验研究

本文对气轨实验中时间量的不等精度测量进行了研究，采用了单管光电门改成双管光电门的方法，实现了时间的同次测量。将双管光电门应用于动量守恒定律，得到了较满意的效果。     

对称非线性弹簧振子的振动周期的级数解

用积分法求出了对称非线性水平弹簧振子的振动周期的级数解,并对所得结果进行讨论,得到了线形弹簧振子的振动周期以及x~3振荡器的振荡周期.     

弹簧蛇形振子的制作与探究

利用不同周期的弹簧代替原始蛇形摆装置中的单摆,制作了竖直运动的弹簧蛇形振子,所有的弹簧振子等间距排列成一条直线.弹簧蛇形振子操作简单,是较为理想的简谐振动演示装置.     

用DIS研究弹簧振子系统中的机械能守恒

利用DISLab实验系统中的光电门传感器,在气垫导轨装置上验证不忽略弹簧质量的情况下的机械能守恒,本实验更为精确地验证了弹簧振子系统的机械能守恒.     

利用DISLab进行弹簧振子简谐运动实验条件的研究

利用DISLab研究弹簧振子简谐运动中力和位移随时间变化的关系,发现弹簧在振动过程中回复力存在滞后现象.本文通过设计实验,研究了弹簧的劲度系数、振子质量和振幅对回复力滞后的影响.     

弹簧振子振动特性的计算机实时测量

通过力传感器和距离传感器测量弹簧振动时的力学量，并用计算机分析弹簧振子各力学量之间的关系，实现对弹簧振动特性的实时测量，为深入认识机械振动的特性提供了有用的实验手段     

Closed-Form Expression for the Exact Period of a Nonlinear Oscillator Typified by a Mass Attached to a Stretched Wire

The exact analytical expression of the period of a conservative nonlinear oscillator with a non-polynomial potential, is obtained. Such an oscillatory system corresponds to the transverse vibration of a particle attached to the center of a stretched elastic wire. The result is given in terms of elliptic functions and validates the approximate formulae derived from various approximation procedures as the harmonic balance method and the rational harmonic balance method usually implemented for solving such a nonlinear problem.     

弹簧振子实验不确定度的分析研究

采用静力伸长法和振动周期法测量并计算弹簧振子的劲度系数,通过分析不确定度,比较了用静伸长法求弹簧劲度系数中逐差法和用最小二乘法作Excel直线拟合这两种数据处理方法的精确性差异,并通过计算得出测量弹簧劲度系数时静伸长精确度高于振动法的结论。实验结果具有一定的理论意义,并对于改进弹簧振子实验过程有重要的指导作用。     

滑动摩擦力作用下弹簧振子的振动

对在粗糙水平面上作振动的弹簧振子进行研究,探讨该弹簧振子最后停止的位置,估算了弹簧振子的振动总次数,得出弹簧振子的相轨迹.     

精确测量单摆周期

以激光束作控制信号,用自制光电门控制电路控制电子秒表计时,实现了对单摆周期的精确测量.     

弹簧质量对振子振动周期影响的实验研究

通过对有弹簧质量弹簧振子的振动实验,分析研究弹簧振子振动周期与弹簧质量的关系,并提出"轻质弹簧"实验中的振子质量与弹簧质量关系.     

Interpretation of the Quantum Measurement: Example of a Linearly Coupled Harmonic Oscillator

We argue that it may be possible to consistently explain the quantum measurement by assuming that the wave function is in one-to-one correspondence with objective physical reality and has no probabilistic interpretation. In the context of such approach we consider the model of a harmonic oscillator linearly coupled to a heat bath and treat the oscillator as the system being measured. Three classes of initial pure states for the bath are considered. Exact expressions for the average values and variances of the oscillator coordinate and momentum as functions of time are considered for each class of pure states. It is shown that these quantities exhibit different asymptotic behavior for different classes of initial states of the bath. In particular, if each mode of the bath is initially in a coherent state, then for an arbitrary initial state of the oscillator the variances of the oscillator coordinate and momentum asymptotically approach the same values as for a coherent state of the free oscillator, while the averages of coordinate and momentum show a Brownian-like behavior. We argue that such behavior shows several features of the quantum measurement and supports our interpretation of the wave function.     

Experimental Study of Planar Finite Grid Oscillator Arrays

Results of an experimental study on finite grid oscillator arrays and the effects of the edge element loading stubs in such arrays are presented. Three finite grid oscillator arrays, based on the same unit cell, with different number of unit were fabricated on RT/Duroid 5870 substrate and tested in terms of the oscillation frequencies, radiated power and radiation patterns. It is observed that the oscillation frequency of a finite grid array differs from the theoretically prediction based on the infinite array assumption and is strongly affected by the edge element loading stubs. The measurement also indicates that mode-jumping and multi-frequency (spurious) oscillation can exist in grid oscillator arrays.     

Theoretical and Experimental Study of Singly－resonant Optical Parametric Oscillator

ＴｈｅｏｒｅｔｉｃａｌａｎｄＥｘｐｅｒｉｍｅｎｔａｌＳｔｕｄｙｏｆＳｉｎｇｌｙ－ｒｅｓｏｎａｎｔＯｐｔｉｃａｌＰａｒａｍｅｔｒｉｃＯｓｃｉｌｌａｔｏｒ￥ＺＨＡＮＧＹｕｆｅｉ；ＺＨＡＮＧＺｈａｏｃｈｅｎ；ＷＡＮＧＸｉａｎｙｕｎ；ＣＨＥＮＳｈａｏｊｕｎ；...     

用超对称性和形不变性方法求解环形振子的能谱和波函数

运用超对称性和形不变性方法计算环形振子的能量本征值和本征波函数.所得到的能谱公式与用费曼路径积分方法得到的严格解完全一致.