Teaching of the harmonic oscillator damped by a constant force: The use of analogy and experiments

R. Hauko; D. Andreevski; D. Paul; M. ?terk; R. Repnik

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Teaching of the harmonic oscillator damped by a constant force: The use of analogy and experiments

机译：通过恒定力阻尼的谐波振荡器教学：使用类比和实验

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A description of oscillations damped by a constant force, despite the importance of the phenomenon, is missing from secondary (i.e., high-school) and university physics textbooks. In this paper, a simple explanation of this type of energy loss is given, using the analogy of a vertical spring-mass system. The predicted result, a linear time reduction in the amplitude of oscillation, can be confirmed in the classroom with the demonstration outlined here. In addition, the possibility of extending the experiment to a laboratory exercise at the university level is described. During the exercise, students distinguish different energy loss mechanisms in harmonic oscillations and measure the values of physical quantities associated with energy loss using a simple analytical procedure.

机译：尽管现象的重要性，但缺失了恒定力的振荡的描述，从中学（即，高中）和大学物理教科书缺失。在本文中，使用垂直弹簧批量系统的类比，给出了这种类型能量损失的简单解释。预测结果，振动幅度的线性时间减小，可以在课堂上确认这里概述的示范。此外，还描述了将实验扩展到大学级别的实验室运动的可能性。在运动期间，学生区分谐波振荡的不同能量损失机制，并使用简单的分析程序测量与能量损失相关的物理量的值。

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来源
《American journal of physics》 |2018年第9期|共6页
作者
R. Hauko; D. Andreevski; D. Paul; M. ?terk; R. Repnik;
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作者单位

Faculty of Mechanical Engineering University of Maribor;

Faculty of Natural Sciences and Mathematics University of Maribor;

Faculty of Natural Sciences and Mathematics University of Maribor;

Faculty of Natural Sciences and Mathematics University of Maribor;

Faculty of Natural Sciences and Mathematics University of Maribor;

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原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
Mathematical modeling; Teaching; Lectures; Educational aids; Gravitational force; Laboratories; Harmonic oscillator; Friction; Corrections; Newtonian mechanics;

机译：数学建模;教学;讲座;教育助剂;引力;实验室;谐波振荡器;摩擦;纠正;牛顿力学;

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1. Teaching of the harmonic oscillator damped by a constant force: The use of analogy and experiments [J] . R. Hauko, D. Andreevski, D. Paul, American journal of physics . 2018,第9期

机译：通过恒定力阻尼的谐波振荡器教学：使用类比和实验
2. On the stability of the damped harmonic oscillator with one delayed and one undelayed restoring force and constant interval—valued parameters [J] . Boese F.G. Zeitschrift fur Angewandte Mathematik und Mechanik . 1996,第S2期

机译：具有一延迟和一无延迟恢复力且常数间隔为常数的阻尼谐波振荡器的稳定性
3. TUNNELING DYNAMICS OF ONE- AND TWO-DIMENSIONAL CUBIC OSCILLATORS WITH RANDOMLY FLUCTUATING HARMONIC FORCE CONSTANTS - A NUMERICAL EXPERIMENT [J] . Sarkar P., Bhattacharyya SP. International Journal of Quantum Chemistry . 1997,第4期

机译：一维和二维谐振力常数波动的立方振动子的隧道动力学-数值实验
4. DAMPING IN A FRACTIONAL RELAXOR-OSCILLATOR DRIVEN BY A HARMONIC FORCE [C] . B. N. Narahari Achar, John W. Hanneken American Society of Mechanical Engineers(ASME)International Design Engineering Technical Conference and Computers and Information in Engineering Conference(DETC2005) vol.6 pt.6: International Conference on Multibody Systems, Nonlinear Dynamics, and Contr . 2005

机译：谐波力驱动的分数松散振荡器的阻尼
5. THE SUPERCONDUCTING-CAVITY STABILIZED OSCILLATOR AND AN EXPERIMENT TO DETECT TIME-VARIATION OF THE FUNDAMENTAL-CONSTANTS. [D] . STEIN, SAMUEL RICHARD. 1974

机译：超导腔稳定振荡器和用于检测基本常数随时间变化的实验。
6. Evading surface and detector frequency noise in harmonic oscillator measurements of force gradients [O] . Eric W. Moore, SangGap Lee, Steven A. Hickman, -1

机译：谐波振荡器测量力梯度时逃逸的表面和探测器频率噪声
7. 57 Harmonical oscillator and electro-mechanical analogy: an interdiscinary experiment to high precision mass variation measurements [O] . Ailton Massaiti Watanabe, Adriano Dos Santos, Paulo Roberto Bueno 2018

机译：57谐振子和机电类比：高精度质量变化测量的跨学科实验
8. Constants of Motion and Non-Stationary Wave Functions for the Damped, Time-Dependent Harmonic Oscillator [R] . Remaud, B., Hernandez, E. S. 1980

机译：阻尼，时间相关谐振子的运动和非平稳波函数常数

Teaching of the harmonic oscillator damped by a constant force: The use of analogy and experiments

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