Experimental Vibrations

Motivation: Designs of bladed disks with low stiffness of blades can exhibit nonlinear vibrations that are detrimental to mechanical integrity of the system. Simple open loop control strategies can be developed to mitigate harmful vibrations.

Objective: Create empirical evidence of the nonlinear and stochastic behavior of cantilever beams (used to model blades) influenced by an open loop noisy control strategy.

Results: Prototyped an experiment that with high precision reproduces the nonlinear vibration modes and controls them using open loop control strategies. Quantified the probabilistic response of the control strategy in different parameter configurations. Developed a physics-based model of the system and showed it matched the behavior of the experiment.

My Role: All work described in this section was designed, prototyped, programmed, and analyzed by Lautaro Cilenti.

Experiment of cantilever beam with nonlinear restoring force that vibrates in response to deterministic and stochastic control of the shaft.
Experiment schematic of a circular array of cantilever beams with nonlinear restoring forces. This is a CAD model of the prototype of this model currently under development.
Experimental Noise Trial: First, the controller uses a deterministic procedure to bring the cantilever beam into a high energy stable vibration mode. Then, noise is added to the control signal for a fixed amount of time. With a quantifiable probability, the random perturbations induce transitions to the low energy stable vibration mode.