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Record W2030424763 · doi:10.5539/mas.v3n10p42

Flutter Solution by Use of Eigenvalues and Eigenvectors of a Complex General Matrix

2009· article· en· W2030424763 on OpenAlexvenueno aff
Ju Qiu, Qin Sun

Bibliographic record

VenueModern Applied Science · 2009
Typearticle
Languageen
FieldEngineering
TopicVibration and Dynamic Analysis
Canadian institutionsnot available
Fundersnot available
KeywordsEigenvalues and eigenvectorsFlutterDefective matrixMatrix differential equationEigenvalues and eigenvectors of the second derivativeEigenvalue perturbationModal matrixMatrix (chemical analysis)MathematicsMathematical analysisSpectrum of a matrixApplied mathematicsDiagonalizable matrixSymmetric matrixPhysicsMaterials scienceQuantum mechanicsAerodynamicsMechanics

Abstract

fetched live from OpenAlex

Flutter equations in frequency domain, is solved by use of solutions of eigenvalues and eigenvectors of a real matrix in a state-space form. However, using a complex general matrix to compute eigenvalues and eigenvectors directly analyzes the flutter frequencies and flutter speeds. Furthermore, eigenvalues and eigenvectors of a complex general matrix are derived in detail. Finally, according to the solution principle of eigenvalues and eigenvectors of a complex general matrix, a practical flutter problem is solved through P-K method.

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.

How this classification was reachedexpand

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: Simulation or modeling · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.901
Threshold uncertainty score0.266

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 head0.017
GPT teacher head0.233
Teacher spread0.216 · 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

Classification

machine, unvalidated

Machine predicted; a candidate call from one teacher head, not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designSimulation or modeling
Domainnot available
GenreEmpirical

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".

Quick stats

Citations1
Published2009
Admission routes1
Has abstractyes

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