大学物理 ›› 2017, Vol. 36 ›› Issue (1): 49-51.doi: 10.16854 /j.cnki.1000-0712.2017.01.015

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圆台形弹簧质量对振动周期的影响

张敬昕,侯灿,张峰   

  1. 南京信息工程大学气象灾害教育部重点实验室/大气科学学院,江苏南京210044
  • 收稿日期:2015-12-09 修回日期:2016-05-30 出版日期:2017-01-20 发布日期:2017-01-20
  • 作者简介:张敬昕( 1994—) ,男,贵州余庆人,南京信息工程大学大气科学学院2017 届本科生.

Influence of mass of cone spring on oscillatory period

ZHANG Jing-xin,HOU Can,ZHANG Feng   

  1. Key Laboratory of Meteorological Disater,Ministry of Education /Department of Atmospheric Science, Nanjing University of Information Science & Technology,Nanjing, Jiangsu 210044,China
  • Received:2015-12-09 Revised:2016-05-30 Online:2017-01-20 Published:2017-01-20

摘要: 在考虑弹簧本身质量的条件下,采用能量法分析圆台形弹簧系统的总动能.通过引入形状函数导出有效质量系数的精确表达式.其有效质量系数的变化范围为1 /5~ 8 /15.

关键词: 圆台形弹簧, 有效质量, 形状函数, 振动周期

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