Simple Model of Bouncing Ball Dynamics

Dynamics and Control of Bouncing Ball

This paper investigates the control of a bouncing ball using Model Predictive Control. Bouncing ball is a benchmark problem for various rhythmic tasks such as juggling, walking, hopping and running. Humans develop intentions which may be perceived as our reference trajectory and tries to track it. The human brain optimizes the control effort needed to track its reference; this forms the central...

Laboratory Investigation of the Dynamics of the Inelastic Bouncing Ball

An inelastic bouncing ball driven by an oscillating plate is modelled in MatLab and then experimentally investigated in the laboratory. Experimental results qualitatively match the computational model, demonstrating bifurcation and chaos. Discrepancies of the physical system are clearly traced, including friction, elasticity, and feedback, but only friction is accounted for in the model. Furthe...

Dynamics of a ball bouncing on a vibrated elastic membrane.

We investigate the dynamics of a ball bouncing on a vibrated elastic membrane. Beyond the classical solid-solid case, we study the effect of introducing new degrees of freedom by allowing substrate oscillations. The forcing frequency of the vibration strongly influences the different thresholds between the dynamical states. The simple model proposed gives good agreement between the experiments ...

Dynamics of a bouncing ball in human performance.

On the basis of a modified bouncing-ball model, we investigated whether human movements utilize principles of dynamic stability in their performance of a similar movement task. Stability analyses of the model provided predictions about conditions indicative of a dynamically stable period-one regime. In a series of experiments, human subjects bounced a ball rhythmically on a racket and displayed...

Follow the Bouncing Ball: Presidential Nominating Conventions and Campaign Dynamics