Free Vibration of Micro Cantilever Beam With Electromagnetic Actuators
Bibliographic record
Abstract
Free vibration of cantilever beam with an electromagnetic actuator is studied. The governing equation of motion of the system is developed and the electromagnetic actuation part is added to the system. The system is modeled by 1DOF vibration mode. Three different analytical solution methods, namely, Krylov and Bogoliubov, Energy Balance and Modified Energy Balance are utilized to obtain the equations of motion and the frequency response of the system. Expression for the fundamental frequency is obtained using different types of analytical procedures. Frequency responses of the system are obtained using different numerical methods and the accuracy of the proposed approaches is studied. The influence of the initial conditions on the system performance is studied and the point where, the system starts to show an unstable behavior and quasi-periodic response is identified. Phase-plane trajectories are presented to elaborately analyze the dynamical behaviors of the system. Variations of the natural frequencies for different values of actuation parameter and the initial conditions are plotted to reveal the sensitivity of the objective system.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| 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 source (direct Gemma or distilled Codex), 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".