One dimension spring supported ball on top of a sinusoidal vibrating plate: A forced oscillation simulation using molecular dynamics method

TL;DR

This study uses molecular dynamics simulation to analyze the resonance behavior of a spring-supported ball on a sinusoidally vibrating plate, revealing phase-dependent resonance phenomena in a one-dimensional system.

Contribution

It introduces a simulation approach to study resonance in a simplified one-dimensional spring-supported ball system on a vibrating plate.

Findings

Resonance occurs at specific phase conditions.

Resonance frequency matches the natural frequency of the system.

The system exhibits phase-dependent resonance behavior.

Abstract

A ball supported by a spring is set on top of a plate which is sinusoidal vibrated. The motion is limited to one dimension motion. It is assumed that the spring is an ideal one with zero mass. The vibrating plate is considered much heavier than the ball, so that the ball motion has no influence on the plate motion. Plate vibration frequency is varied around the frequency of ball-spring system. Resonance phenomenon is reported, which needs a phase match condition to occur.