Three-dimensional static, vibration and stability analysis of piezoelectric composite plates using a finite layer method
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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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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 | 0.000 |
| 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) | 0.000 | 0.000 |
Machine scores (provisional)
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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