TY  - EJOU
AU  - Ma, Yewan 
AU  - Chang, Hansen 
AU  - Wu, Zhaowang 
AU  - Jiang, Yanyan 
AU  - Li, Juan 
AU  - Yin, Xunchang 
AU  - Liu, Quanjin 
AU  - Zhang, Lihua 

TI  - Theoretical Study of the Energies of the Oscillating System with a Well- Distributed Mass of the Spring
T2  - Sound \& Vibration

PY  - 2019
VL  - 53
IS  - 4
SN  - 2693-1443

AB  - The energy of a spring with a well-distributed mass <i>m<sub>s</sub></i> 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 <i>M</i>. The kinetic energy and potential energy of the spring, and total energy are numerically simulated for different ratios <i>m<sub>s</sub>/M</i> with considering the spring’s mass, which
makes the property of energy of the oscillating system understood easily.
KW  - Spring; kinetic energy; potential energy of a spring; transcendental equation

DO  - 10.32604/sv.2019.04622