Quasi-Distribution Appraisal Based on Piecewise B\'ezier Curves: An Objective Evaluation Method about Finite Element Analysis
<|reference_start|>Quasi-Distribution Appraisal Based on Piecewise B\'ezier Curves: An Objective Evaluation Method about Finite Element Analysis: A class of quasi-distribution evaluation criteria based on piecewise Bezier curves is proposed to address the issue of the inability to objectively evaluate finite element models. During the optimization design of mechanical parts, finite element modeling is performed on their stress deformation, and the mesh node shape variable values are converted into distribution histogram data for piecewise Bezier curve fitting. Being dealt with area normalization method, the fitting curve could be regarded as a kind of probability density function (PDF), and its variance could be used to evaluate the finite element modeling results. The situation with the minimum variance is the optimal choice for overall deformation. Numerical experiments have indicated that the new method demonstrated the intrinsic characteristics of the finite element models of difference mechanical parts. As an objective appraisal method for evaluating finite element models, it is both effective and feasible.<|reference_end|>
@article{wen2024quasi-distribution,
    title={Quasi-Distribution Appraisal Based on Piecewise B\'ezier Curves: An
  Objective Evaluation Method about Finite Element Analysis},
    author={Runkai Wen, Yukun Chai, Lingxin Wang, Ruochen Du, Xingtian Long,
  Zhiyang Liu, Peng Wu, Yiduo Wang},
    journal={arXiv preprint arXiv:2409.03987},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.03987},
    primaryClass={math.NA cs.NA}
}