Three-dimensional static, vibration and stability analysis of piezoelectric composite plates using a finite layer method
Bibliographic record
Abstract
The finite layer method is the most efficient numerical method for three-dimensional analysis of simply supported rectangular plates. In this method, the plate is divided into a number of finite layers. Within each finite layer, trigonometric functions are used for the in-plane interpolations of displacements, whereas polynomials are employed for the interpolations in the thickness direction. Thus, the three-dimensional analysis is transformed into a series of one-dimensional analyses, and the efficiency is enhanced significantly. In the present study, a new finite layer approach is proposed for the three-dimensional static, vibration and stability analysis of piezoelectric composite plates. In this approach, Lagrangian polynomials are employed for the interpolations of all the generalized displacement components in the thickness direction. Thus, higher-order interpolations can be selected in order to yield improved accuracy over any existing higher-order shear deformation theories. Numerical results are presented to demonstrate the accuracy and efficiency of the proposed method. The static, vibration and stability behaviors of some piezoelectric laminates are also investigated through numerical examples.
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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 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.001 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| 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 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".