College Physics >

2017 , Vol. 36 >Issue 1: 49 - 51

DOI: https://doi.org/10.16854 /j.cnki.1000-0712.2017.01.015

Influence of mass of cone spring on oscillatory period

  • ZHANG Jing-xin ,
  • HOU Can ,
  • ZHANG Feng
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  • Key Laboratory of Meteorological Disater，Ministry of Education /Department of Atmospheric Science， Nanjing University of Information Science & Technology，Nanjing， Jiangsu 210044，China

Received date: 2015-12-09

  Revised date: 2016-05-30

  Online published: 2017-01-20

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Abstract

Considering the mass of the spring itself，an energy method is adopted to analyze the total kinetic energy of the truncated cone-shaped spring system.An accurate expression of the effective mass coefficient is derived by introducing the shape function.And the range of the effective mass coeffiicient is between 1 /5 and 8 /15.

Key words： truncated cone-shaped spring; effective mass; shapge function; vibration period

Cite this article

ZHANG Jing-xin , HOU Can , ZHANG Feng . Influence of mass of cone spring on oscillatory period[J]. College Physics, 2017 , 36(1) : 49 -51 . DOI: 10.16854 /j.cnki.1000-0712.2017.01.015

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