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Table of Content
20 May 2011 Volume 30 Issue 5
著者文摘
Revisited discussion on vibration of an flexible rod with end surfaces subjected to air resistance
. 2011, 30(5): 7-7.
Abstract
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748
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(492KB) (
390
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The method of separation of variables for the vibration of an flexible rod with end surfaces subject to air resistance is discussed again.Generalized orthogonal relations of the complex eigenfanctions are established.The general solution is expanded in terms of complex eigenvibrations.The orthogonal relations are used to determine the coefficients in the general solution,such that it satisfies arbitrarily given initial conditions.Several cases with many boundary conditions are solved,including the case with both ends subjected to air resistance,and the case with one end fixed and the other connected to a concentrated mass and the latter connected to a spring and subject to air resistance.
Solutions of Laplace equation for infinite length two-layered cylinder and applications in nano-optics
. 2011, 30(5): 11-11.
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1012
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(317KB) (
380
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The expressions for the electric potential and electric field of infinite length two-layered cylinder are obtained by solving Laplace equation.Based on the scattering theory,we deduce the optical scattering,absorption and extinction efficiencies for two-layered cylinder,and calculate the far-field spectra and near-field distributions of Au nanotube.It is found that the calculated results are same as that obtained by Mie scattering theory.Thus,our theoretical results can be well used in the studies of nano-optics.
Several questions about general relativity
. 2011, 30(5): 14-14.
Abstract
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875
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(651KB) (
1520
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This paper introduces how the general relativity was set up by Einstein,and how the theory about space-time and gravitation should be understand.
The long wavelength acoustic modes in the diatomic lattice with on-site potential
. 2011, 30(5): 20-20.
Abstract
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796
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(318KB) (
330
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The lattice vibration equations of the onedimension diatomic chain with on-site potential are solved by numerical calculation.The vibration graphics of long wavelength acoustic modes with different onsite potential are presented.In the case of long wavelength acoustic modes,the displacements of the two atoms within each cell are no longer identical.
The spring pendulum under different controlled parameters
. 2011, 30(5): 23-23.
Abstract
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965
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(476KB) (
640
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In this paper we obtain the kinetic expression of the spring pendulum system through the Lagrange function method.The controlled parameter is the frequency ratio.We present the numerical simulation under different controlled parameters and initial oscillation angle by using Matlab.Moreover,we study the motion character of this system comprehensively and intuitively.
The elliptic function solution for differential equation of transverse vibration of symmetric double-spring oscillator
. 2011, 30(5): 27-27.
Abstract
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816
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(435KB) (
1230
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The nature of transverse vibration of a symmetric double-spring oscillator is studied.The analytical approximate solution of the differential equation of transverse vibration is proposed and compared with numerical result.
Exploration of the period of mass-spring oscillator
. 2011, 30(5): 32-32.
Abstract
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892
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(408KB) (
2766
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This paper analyzes the frequency spectrum of typical vibration signal distribution and points out that the frequency spectrum of mass-spring oscillator vibration is consistent with the spectrum characteristics of quasi-periodic signal.So it no longer has the strict sense of the vibration cycle,only exists the approximate sense of quasi-periodic,and then the quasi-periodic concept of mass-spring oscillator is clarified.
Radius of curvature of trajectory and trajectory of a charged particle moving in a crossed uniform electric and magnetic field
. 2011, 30(5): 35-35.
Abstract
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1259
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(315KB) (
690
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This paper discusses the cycloid trajectory of a charged particle moving in a crossed uniform electric and magnetic field and how it is formed by a wheel rolling.In order to make the motion of the charged particle to be clear,we also use physical analysis to bring forward the formula of cycloid radius of curvature.
Experiment for teaching conservation of momentum and mechanical energy in two-dimensional collision
. 2011, 30(5): 39-39.
Abstract
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848
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(416KB) (
529
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By using the camera and pendulums with long ropes,an experiment is designed for teaching conservation of momentum and mechanical energy in two-dimensional collision.
Design of experimental system of the moment of inertia based on PLT communication and TCP/IP protocol
. 2011, 30(5): 43-43.
Abstract
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863
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(492KB) (
876
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A new experimental method and system is used to measure the moment of inertia.The effect of string pull impacting on the friction torque of spindle is considered by adding a standard rigid body test piece in the physical experiment measuring the moment of inertia of a rigid body,which has improved the accuracy of this experiment greatly.In addition,the time data being measured by single MCU are transported to a personal computer by means of the communication network,which is according to PLT communication and TCP/IP protocol.Then the moment of inertia of the rigid body and other physical quantities are calculated by the data process software.Thisnew experiment method and system improves greatly the accuracy of the experiment and propitious to the communication between teacher and students and prevents students from plagiarizing each other.
Applicatioa of analogy and transportation method in nonlinear physics
. 2011, 30(5): 47-47.
Abstract
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838
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PDF
(293KB) (
589
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Analogy is a reasoning thinking method for physics,is also a kind of important innovation mode of thinking. By using the analogy method,we investigate the nonlinear behaviors of the Josephson junction,sliding charge density waves based on the rigid pendulum.The results are in good agreement with experiment and numerical results.
Feature and revelation of classical teaching material of art physics in first-rate universities in America
. 2011, 30(5): 50-50.
Abstract
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863
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(680KB) (
553
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In this paper,we give a full analysis and evaluation to the classical teaching material of art physics in first-rate universities in America-《Conceptual Physics》,we think of that the writing mode of this book will provide a great reference value to teaching material of art physics in China.
An analytical solution of 1D linear harmonic oscillator under the perturbation system by undetermined coefficient method
. 2011, 30(5): 55-55.
Abstract
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1033
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(245KB) (
423
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We study the analytical soluttion of 1D linear harmonic oscillator with a charge q which is measured under invariable electric field by undetermined coefficient method.
The low eigenstates of infinite potential well plus negative delta potential
. 2011, 30(5): 57-57.
Abstract
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834
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(173KB) (
405
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The necessary condition for the existence of zero or negative eigenstate of infinite potential well plus negative delta potential is given.The wave function and energy are also derived.
Calculation of gravitation between particle systems
. 2011, 30(5): 59-59.
Abstract
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906
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PDF
(308KB) (
499
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The gravity between the particle systems is discussed.Meanwhile,the model of the problems is established and the calculation method is also given.Finally,through some specific examples,we illustrate the way more clearly.
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