The Dynamic Behavior Analysis of Spring-Mass-Damper Systems Jumping on Ground: Free and Forced Motion

  • Paulo J. P. Gonçalves State University of São Paulo
  • Lucas de Haro Silva
  • Marcos Silveira

Abstract

The objective of this study is to analyze the dynamics of mechanical systems with one degree of freedom that are simply placed on the ground without fixation. The one degree of freedom system consists of a rigid mass supported by parallel combination of a spring and damper. The mass produces a static deformation on the spring due to gravity. When the acceleration of the system is greater than the acceleration of gravity, the system may jump from the ground, causing different dynamic behavior depending on the amplitude and frequency of external forces. An analytical expression for the natural period of the system for the case in which the mass jumps is given. Numerical simulations are developed considering the free and forced vibration cases. Results can help understand the dynamics of such systems.
Published
2015-08-27
Section
Articles