
Civil Engineering ETDs
Publication Date
Fall 12-16-2024
Abstract
Sources of nonlinearities in structures can introduce many phenomena that cannot be characterized by linear analysis such as bifurcations leading to the jump phenomena and isolated resonance branches. These phenomena can often give rise to complex behaviors and lead to extreme responses that can potentially cause damage to structures. It is therefore critical to advance numerical and experimental tools to better characterize these behaviors.
This dissertation explores the use of fixed frequency voltage control tests to stabilize strongly nonlinear structures and detect isolated resonance branches. This open-loop control scheme exploits electromechanical shaker dynamics through the force dropout phenomena and voltage continuation to measure stabilized S-curves. Shaker-structure models were developed to perform fixed frequency voltage control using Multi-Harmonic Balance simulations and conduct pre-test predictions and analyses. Fixed frequency voltage control tests were also performed experimentally on a strongly nonlinear vibro-impact structures to demonstrate stabilization and measurements of isolated resonance curves.
Keywords
Experimental nonlinear dynamics, impact nonlinearity, fold bifurcations, experimental stability, open loop control
Document Type
Dissertation
Language
English
Degree Name
Civil Engineering
Level of Degree
Doctoral
Department Name
Civil Engineering
First Committee Member (Chair)
Fernando Moreu
Second Committee Member
Robert Kuether
Third Committee Member
Rafiqul Tarefder
Fourth Committee Member
Nicholas Wierschem
Recommended Citation
Robbins, Eric. "Exploiting Shaker Dynamics in Fixed Frequency Voltage Control to Stabilize Nonlinear Structures and Detect Isolated Resonance Curves." (2024). https://digitalrepository.unm.edu/ce_etds/352
Included in
Acoustics, Dynamics, and Controls Commons, Civil Engineering Commons, Electro-Mechanical Systems Commons, Other Mechanical Engineering Commons, Structural Engineering Commons