English(EN) Discrete Elastic Ribbons: A Unified Discrete Differential Geometry Framework for One-Dimensional Energy Models

新框架统一了一维能量模型的离散微分几何

作者 PulseAugur 编辑部 · [1 个来源] · 2026-05-08 04:00

研究人员开发了一个使用离散微分几何的新框架，用于统一和分析弹性带的一维能量模型。该方法通过将能量表示为耦合弯曲-扭转应变度量的函数，从而能够比较各种带模型，包括 Kirchhoff、Sadowsky、Wunderlich、Sano 和 Audoly。对承受横向位移的预屈曲拱的基准模拟表明，Sano 模型在捕捉宽度依赖性变化方面与基于壳的有限元模拟最为接近，与标准的离散弹性杆相比，计算开销极小。 AI

排序理由这是一篇研究论文，详细介绍了新的计算框架和模型比较。[lever_c_research降级：ic=1 ai=0.1]

在 arXiv cs.LG 阅读 →

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arXiv cs.LG TIER_1 English(EN) · Shivam Kumar Panda, M Khalid Jawed · 2026-05-08 04:00

离散弹性缎带：一维能量模型统一的离散微分几何框架

arXiv:2605.05529v1 Announce Type: cross Abstract: Elastic ribbons, slender structures whose length ($L$), width ($W$), and thickness ($b$) satisfy $L \gg W \gg b$, exhibit mechanical behaviors intermediate between one-dimensional rods ($L \gg W, b$) and two-dimensional plates ($L…

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离散弹性缎带：一维能量模型统一的离散微分几何框架

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