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Record W4401015352 · doi:10.5206/mt.v4i1.17728

The Lagrangian formalism Application

2024· article· en· W4401015352 on OpenAlex

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.

venuePublished in a venue whose home country is Canada.
no affNo Canadian affiliation: this work is invisible to an affiliation-only frame.
No Canadian affiliation. An affiliation-only frame, the usual design, would never have seen this work. It is one of the works that make the case for inverting the frame.

Bibliographic record

VenueMaple Transactions · 2024
Typearticle
Languageen
FieldEngineering
TopicDynamics and Control of Mechanical Systems
Canadian institutionsnot available
Fundersnot available
KeywordsTuned mass damperLagrangianFormalism (music)DamperEquations of motionMapleVibrationComputer scienceMechanical systemStructural engineeringControl theory (sociology)Mechanical engineeringEngineeringControl engineeringPhysicsClassical mechanicsApplied mathematicsMathematicsAcoustics

Abstract

fetched live from OpenAlex

The Frahm damper, also called a tuned mass damper (TMD), is a device used to attenuate the vibrations of a mechanical system. It consists of an oscillating damped mass which forms the auxilliary system that is attached to a particular location of a structure (the main system) to minimise its mechanical vibrations . The TMD's are very useful in engineering applications as they can prevent damage or outright structural failure. They are included, for instance, in floor systems, balconies, monumental staircases and pedestrian bridges. They are also frequently used in power transmission and cars. When designing a TMD, the key factor is the tuning of some of parameters to achieve the desired performance. We aim to study the optimization of the TMDs. For that purpose, the Lagrangian approach to deriving the equations of motion is used. We define the dynamical amplification factor that will be used to study the optimization of the TMD. Some commands of Maple software are used to achieve this goal.

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 imitation

Not 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.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Other design · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.998
Threshold uncertainty score0.177

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

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.

Opus teacher head0.003
GPT teacher head0.183
Teacher spread0.179 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it