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

作　　者：Yewan Ma Hansen Chang Zhaowang Wu Yanyan Jiang Juan Li Xunchang Yin Quanjin Liu Lihua Zhang 

机构地区：[1]School of Physics and Electrical Engineering,Anqing Normal University,Anqing,246133,China

出　　处：《Sound & Vibration》2019年第4期139-149,共11页声音与振动（英文）

基　　金：supported by the program for Higher educational Quality engineering projects of Anhui Province(2018zygc062);Anhui Provincial Natural Science Foundation(1808085MA20 and 1708085MA10);Excellent Young Talents in University of Anhui Province(gxyq2017027);the key Scientific Research Foundation of Anhui Provincial Education Department(KJ2019A0564,KJ2019A0580,KJ2018A0366,Wdxy2018jyxm008 and Wdxy2018jyxm009);Excellent course of Anhui Provincial Education Department(2017kfk061);Wisdom classroom of Anqing Normal University(2018aqnuzhkt008).

摘　　要：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.

关 键 词：SPRING kinetic energy potential energy of a spring transcendental equation 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]