Theoretical Study of the Energies of the Oscillating System with a Well-Distributed Mass of the Spring

IF 0.9 Q4 ACOUSTICS

Sound and Vibration Pub Date : 2019-01-01 DOI:10.32604/sv.2019.04622

Ye-Wan Ma, Hansen Chang, Zhao-Wang Wu, Yan-Yan Jiang, Juan Li, Xun-Chang Yin, Q. Liu, Li-Hua Zhang

引用次数: 0

Abstract

The energy of a spring with a well-distributed mass ms is theoretically studied in this paper. The solution of the wave equation is derived in detail, and then the kinetic energy and potential energy of the spring are studied with the wave equation, as well as the kinetic energy of the oscillating mass M. The kinetic energy and potential energy of the spring, and total energy are numerically simulated for different ratios ms/M with considering the spring’s mass, which makes the property of energy of the oscillating system understood easily.

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弹簧质量均匀分布时振动系统能量的理论研究

本文从理论上研究了质量为ms的均匀分布弹簧的能量。详细推导了波动方程的解，然后利用波动方程研究了弹簧的动能和势能，以及振动质量M的动能。在考虑弹簧质量的情况下，对弹簧的动能、势能和总能量进行了不同ms/M比下的数值模拟，便于理解振动系统的能量性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Sound and Vibration 物理-工程：机械

CiteScore

1.50

自引率

33.30%

发文量

审稿时长

>12 weeks

期刊介绍： Sound & Vibration is a journal intended for individuals with broad-based interests in noise and vibration, dynamic measurements, structural analysis, computer-aided engineering, machinery reliability, and dynamic testing. The journal strives to publish referred papers reflecting the interests of research and practical engineering on any aspects of sound and vibration. Of particular interest are papers that report analytical, numerical and experimental methods of more relevance to practical applications. Papers are sought that contribute to the following general topics: -broad-based interests in noise and vibration- dynamic measurements- structural analysis- computer-aided engineering- machinery reliability- dynamic testing

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