Vibration Analysis of Axially Loaded Euler-Bernoulli Beams With Guided Mass
Bibliographic record
Abstract
Vibration analysis of an axially loaded beam with an attached mass, as the model of many systems in the macro and micro scales, has been carried out. The axially loaded beam is assumed as an Euler-Bernoulli one with clamped-clamped boundary conditions that carries a lumped mass, which is attached to it at an arbitrary position. The attached lumped mass is guided to only move in the transverse direction. It has been shown that the tensile axial force will increase the natural frequencies of the beam as well as the amplitude of oscillation of the comb-drive at the first mode of vibration. Depending on the position of guided mass, the natural frequencies may either increase or decrease when compared with those found for the same clamped-clamped beam with no attached mass. The natural frequencies and the corresponding natural mode shapes are presented.
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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) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.002 |
| 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 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".