Experimental testing of four different active vibration controllers on a clamped sandwich beam with nonlinear vibrations
Bibliographic record
Abstract
Nonlinear vibration control is an area of growing interest in engineering. Geometric nonlinearities arise when vibration amplitudes become too large. While nonlinear vibrations have been controlled in the past, studies have never considered more than the first mode of vibration. This work aims to develop a novel dual-mode multi-input multi-output (MIMO) positive position feedback (PPF) controller. This controller was designed with two linear PPF filters, targeting the first and second natural modes, each in parallel with a cubic stiffness term. The controller was designed using SIMULINK and applied using piezoelectric actuator and sensor patches on a clamped sandwich beam, exhibiting hardening behaviour when excited by a stepped-sine excitation with increasing forcing levels. It was then compared to four other controllers: a SISO controller, a linear MIMO controller and two single-mode MIMO controllers, targeting the first and second modes respectively. The dual-mode MIMO PPF was shown to outperform the other four controllers in the control of the first two modes of vibration of the beam, making it the preferred option for such a purpose.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".