Vol.53, No.4, 2019, pp.139-149, doi:10.32604/sv.2019.04622
OPEN ACCESS
ARTICLE
Theoretical Study of the Energies of the Oscillating System with a Well- Distributed Mass of the Spring
  • Yewan Ma, Hansen Chang, Zhaowang Wu, Yanyan Jiang, Juan Li, Xunchang Yin, Quanjin Liu, Lihua Zhang*
School of Physics and Electrical Engineering, Anqing Normal University, Anqing, 246133, China.
* Corresponding Author: Lihua Zhang. Email: zhangllhh@126.com.
Abstract
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.
Keywords
Spring; kinetic energy; potential energy of a spring; transcendental equation
Cite This Article
Ma, Y., Chang, H., Wu, Z., Jiang, Y., Li, J. et al. (2019). Theoretical Study of the Energies of the Oscillating System with a Well- Distributed Mass of the Spring. Sound & Vibration, 53(4), 139–149.