Development of 3D infinite element method coupled with a cylindrical mesh technique for analyzing bending of plate with interacting holes
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Bibliographic record
Abstract
ABSTRACT A three-dimensional infinite element method (IEM) for modeling a multihole plate is presented. Additionally, a new concept based on cylindrical coordinates to create a similar mesh layer is proposed. A specific element, embedded with a through-hole of various radii, is formulated using the conventional finite element method (FEM) based on the similarity stiffness of isoparametric eight-node hexagonal elements and matrix condensation operations. An IEM–FEM coupling scheme is developed and implemented in the commercial software MATLAB to conduct the bending analysis of perforated plate. Four numerical examples involving complicated geometries and multiple holes are considered to examine the applicability of the proposed approach. The available solutions computed using the commercial FEM software ABAQUS are used for comparison. The proposed approach demonstrates higher accuracy and efficiency compared with conventional FEM approaches.
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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 | 0.001 | 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)
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 it