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 *m*_{s} 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 *m*_{s}/M with considering the springâ€™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