Analytical analysis of the vibration protection system of a human operator
Bibliographic record
Abstract
The task of mathematical description and study of vibration isolation systems for seats of mobile machine operators is relevant, since operators of many construction, road and other mobile machines are exposed to significant vibration effects. An original analytical solution was proposed for the differential equation of forced oscillations of a linear oscillator with kinematic excitation, which describes the vertical oscillations of the seat with the operator, for given sinusoidal oscillations of the seat base. Analytical differentiation in time of the expression for the absolute displacement of the vibration-protected mass of the seat with the operator made it possible to obtain an analytical expression for the absolute velocity of the mass, the simplification of which made it possible to obtain a compact expression for the first and then the zero derivative of the absolute coordinate in the steady state oscillation mode. From the expression for the absolute displacement of the vibration-protected mass using a trigonometric transformation, an analytical expression for its amplitude was obtained, from which, in turn, an analytical expression for the transmission coefficient of the vibration protection system was obtained. The equation based on the analytical expression of the derivative of the transfer coefficient with respect to the circular frequency was solved analytically, which made it possible to obtain analytical expressions for the resonant amplitude of absolute displacements and the transfer coefficient. Examples of functional dependencies obtained using the derived analytical expressions are given. The obtained analytical expressions make it possible to conduct studies of vibration protection systems of seats with maximum accuracy.
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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 | 0.001 |
| 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 | 0.001 | 0.000 |
| Insufficient payload (model declined to judge) | 0.003 | 0.001 |
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".