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Table of Content
20 April 2007 Volume 26 Issue 4
著者文摘
A non-harmonic oscillator treated by iinearization and correction method
. 2007, 26(4): 3-3.
Abstract
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535
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422
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Through the Lagrange＇ s equation, the nonlinear vibration equation of a particle non-harmonic oscillator is established; the curves of the restoring force and potential energy varying with coordinates and phase plot are drawn. The exact solution of the period is got by using the first kind of complete elliptic integral. Using the linearization and correction methods, the approximate solutions on period and the displacement of the oscillator are solved, And the curves of the approximate solutions and exact solutions of the period varying with amplitude and the approximate solutions and the numerical solution are drawn by using the Maple 9.5. The approximate solutions have advantages of simplicity, practicality, and higher accuracy, which is of practical value in calculating nonlinear oscillations.
第一段
Xi＇an Polytechnic University
. 2007, 26(4): 3-3.
Abstract
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237
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(294KB) (
121
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著者文摘
Charge moment tensor and the magnetic moment of a rotating charged bodies
. 2007, 26(4): 7-7.
Abstract
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984
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(361KB) (
423
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Based on the strict and delicate analogue relation between the magnetic moment of a rotating charged bodies and moment of inertia of rigid bodies, a new concept of charge moment tensor Ⅰ which is different from the existent electric multipole moment is introduced. And by means of eigenvalue equation of tensor Ⅰ, the concept of principal axes and principal-axis scalar charge moment are constructed, and further the scalar charge moment of a charged body and the magnetic moment of a rotating charged body around an arbitrary direction are attained.
Goos-Hanchen shifts at the interface of double-negative or single-negative permittivity and permeability
. 2007, 26(4): 12-12.
Abstract
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775
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(256KB) (
472
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Goos-Hanchen shift of total reflection wave at interface is derived, and Goos-Hanchen effect of incident beam from double-positive （ ε 〉0,μ 〉0） and double-negative （ ε 〈 0,μ 〈 0） to double-negative （ε 〈 0,μ 〈 0） or single-negative （ ε〉 0,μ 〈 0 or ε 〈 0,μ〉 0） are discussed.
The complex vector expression of electromagnetic field
. 2007, 26(4): 16-16.
Abstract
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1443
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(495KB) (
516
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The complex vector expression of electromagnetic field is introduced on the base of Maxwell equations and Lorentz force equation, and apply them to formulae the electromagnetic field, including the foundation of the electromagnetic field in complex vector expression, law of conservation of charge, law of conservation of energy, vector potential and scalar potential, momentum, energy, tensor in electromagnetic field, relativistic covariance, and so on. Comparing with electrodynamics, some conclusions are stated.
The oscillation of bistable state of a revolving single pendulum
. 2007, 26(4): 24-24.
Abstract
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535
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PDF
(280KB) (
596
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Numerical calculation is applied to discuss the characteristic of bistable state of a revolving single pendulum, and the oscillation of revolving single pendulum in the large angle surround the steady equilibrium point is studied when single pendulum revolves with the angular velocity ω.
Study on phase equilibrium of liquid-vapour and transfer of mass by using chemical potential curve
. 2007, 26(4): 28-28.
Abstract
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580
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(249KB) (
386
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It is put forwared that the phase equilibrium of liquid-vapour and the transfer of matter mass can be analysed by applying the chemical potential curve. A concise physical picture is furnished by chemical potential curve about the law of phase equilibrium, saturated vapour pressure of curved liquid surface, evaporation and condensation etc.
Synchronization of a kind of hyperchaotic map based on parametric adaptive control algorithm
. 2007, 26(4): 31-31.
Abstract
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506
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PDF
(311KB) (
384
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The hyperchaotic systems Kawakami map is synchronized completely using parametric adaptive control algorithm. After a rigorous mathematical deriving, a sufficient condition of the single-parameter adaptive control can be drawn for the synchronization of Kawakami map, and the synchronization is also found in double- parameter adaptive control. The simulation results show that the output signal of this map is similar to the spectrum of white noise, so it can he used in secret communication.
Discussions for symmetry operations and group tables of point group
. 2007, 26(4): 35-35.
Abstract
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2500
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(201KB) (
845
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It is illustrated that point group has different group tables under different operating rules by the demonstration of C3v group. In addition, a more understandable interpretation of the conjugation property of operation Cn^m and Cn^n-m of Cnv group is introduced by using the C3v. group as an example.
The measurement and compensation of the hysteresis of cylindrical helical spring
. 2007, 26(4): 38-38.
Abstract
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596
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(315KB) (
488
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A method, concerning screw mechanism, electronic scale and the way to obtain the fitted curve, to detect the hysteresis of cylindrical helical spring with micro-capacitance measuring technology and to compensate the hysteresis with micro-controller technology is introduced. This experiment can help students to understand that hysteresis really appears, to some extent, on actual materials, it can also help them to grasp the concept of distance between electrodes changeable capacitance transducer, and improve the ability to apply knowledge comprehensively and the ability to design and practice.
Misunderstandings in the experiment measuring the speed of light with light beat
. 2007, 26(4): 41-41.
Abstract
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889
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PDF
(319KB) (
2022
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There are three main misunderstandings in the experiment measuring the speed of light with light beat：1, that in the principle of light beating wave; 2. that in the production and propagation of light beating wave;3. that in receiving light beating wave and setting light path
Relationship between the line on screen and the length of voltage plate in measuring electronic specific charge with the method of magnetic focusing
. 2007, 26(4): 45-45.
Abstract
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640
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PDF
(210KB) (
492
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It＇s a effect method in measuring electronic specific charge with the magnetic focusing. Based on this experiment, relationship between line scanned by electrons on screen and the length of voltage plate is studied, including the change of rotation angle and length of linsegment.
The affirmation to equilibrium state of Millikan oil drops
. 2007, 26(4): 48-48.
Abstract
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849
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PDF
(241KB) (
692
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When measuring the time for uniform moving a fixed distance, the accelerated access needs not be considered. There is a measuring order that firstly time, then equilibrium voltage. If the oil drop does not move within 15 s in general, the voltage on the apparatus should be the equilibrium voltage.
A new scheme of confecting solution in analogue mirage experiment
. 2007, 26(4): 51-51.
Abstract
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639
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PDF
(236KB) (
371
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Based on the shortcoming of the method of confecting solution in the traditional analogue mirage experiment, bring out a new experimern scheme, and deduce a formula between the concentration of solution and height. This scheme cause the time of confecting solution shorter greatly in experimental process, and make phenomenon more obvious, and make it easier.
Application of digital technology to teaching quantum theory for students of engineering
. 2007, 26(4): 54-54.
Abstract
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562
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PDF
(365KB) (
301
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It is presented how to improve teaching quantum theory by digital technology. Three dimensional representation, scientific calculation, and digital simulation Vividly but veritably visualizes the abstract quantum concepts and broadens the didactical contents of quantum theory.
Comparative analysis of the moving of a wave packet in one-dimensional monatomic lattice with that in a string
. 2007, 26(4): 58-58.
Abstract
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723
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PDF
(365KB) (
314
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The moving of a wave packet in one-dimensional monatomic lattice and that in a string are analyzed. The profiles of the wave packet at different times are calculated and presented for both the systems. In onedimensional monatomic lattice, the profile of the wave packet is changing all the time. But in a string, the profile is unchanging and moving with a definite speed. The reason for the difference is that the two systems have different dispersion law. The dispersion law of the lattice vibration is nonlinear, whereas that of the string vibration is linear.
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