Vibration Control of a Cantilever Beam Using Reduced Model
Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
Abstract One of objectives of the research work here is to actively control vibration of a flexible manipulator’s end-effector. Another objective is to reduce computational cost to control vibration. When the manipulator is in lock configuration, it can be considered as a cantilever beam with base motion. In this paper, finite-element analysis (FEA) is used to obtain natural frequencies (eigenvalues) and mode shapes (eigenvectors) for a cantilever beam. The eigenvectors are translated into uncoupled state space equations, based on balanced realization and Match-DC-Gain model reduction algorithm. Linear quadratic regulator is employed for full and reduced models of the beam. Contribution of this research is on verifying analytical approach (reduced model) with numerical model (FEA). Contribution also includes computational efficiency of the model reduction. Simulation results for vibration suppression of the cantilever beam are obtained and compared with two different models.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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) | 0.000 | 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) | 0.000 | 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 it