← 研踪 PaperTrailarXiv:2611.14796 · v1
Selecting and verifying load-bearing periodic cells for elastic-wave band gaps with numerical acceptance checks
首次提交 2026-11-11 06:32
版本更新 2026-11-11 06:32
雷达观测 2026-11-13 10:09
摘要
A lattice mount must be stiff enough to support equipment and block vibration over a specified frequency range. Fast simulations help rank designs, but their errors can lead to a wrong acceptance decision. We present AMM (AgenticMetamaterials), an open-source Python tool that searches repeating cubic cells for targets on stiffness, the fraction of the cell that is solid, and band gaps. A complete band gap is an interval with no elastic-wave propagation in any direction. A separate checker allows for changes as the simulation grid gets finer. For gaps, it also tests for modes at sampled wave directions and wavelengths, so it can miss modes between samples. In 1,500 near-threshold tests of stiffness and solid fraction, the checker accepted 454 of 750 claims supported by the reference and none of the 750 false claims. Using the finest grid estimate alone accepted 42 false claims. In an independent finite-element comparison on ten new cells built from cubes joined by bars, the checker accepted one of two true gap claims and left all 17 false claims undecided. The reference could not classify the remaining claim. The protocol required every reported edge to err on the side of a narrower gap. The checker failed this test when it placed one upper edge too high, even though it left that thin-bar cell's claim undecided. Separating search from acceptance shows which targets the evidence supports and where a calculation needs further refinement.
作者备注：34 pages, 11 figures; includes supplementary material
观测到的版本
相邻记录可能跳过中间版本；首次发现 v2 及以上也会标为版本更新。
v1 · 2026-11-11 06:32 · 最新观测版本
Selecting and verifying load-bearing periodic cells for elastic-wave band gaps with numerical acceptance checks
A lattice mount must be stiff enough to support equipment and block vibration over a specified frequency range. Fast simulations help rank designs, but their errors can lead to a wrong acceptance decision. We present AMM (AgenticMetamaterials), an open-source Python tool that searches repeating cubic cells for targets on stiffness, the fraction of the cell that is solid, and band gaps. A complete band gap is an interval with no elastic-wave propagation in any direction. A separate checker allows for changes as the simulation grid gets finer. For gaps, it also tests for modes at sampled wave directions and wavelengths, so it can miss modes between samples. In 1,500 near-threshold tests of stiffness and solid fraction, the checker accepted 454 of 750 claims supported by the reference and none of the 750 false claims. Using the finest grid estimate alone accepted 42 false claims. In an independent finite-element comparison on ten new cells built from cubes joined by bars, the checker accepted one of two true gap claims and left all 17 false claims undecided. The reference could not classify the remaining claim. The protocol required every reported edge to err on the side of a narrower gap. The checker failed this test when it placed one upper edge too high, even though it left that thin-bar cell's claim undecided. Separating search from acceptance shows which targets the evidence supports and where a calculation needs further refinement.
查看此版本解读 →查看此版本原文 ↗