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A freely falling chain from a cup at certain height can jump. The process can be divided into two parts: a stable suspension and an accelerating procedure. Variational principle and force analysis d emonstrate that the shape of stable suspensioni s ani nverted catenary. The requirem ent of thejumping and the parameters to describe the jumping catenary have been studiedi n detail, and experiments have been conducted to verify the theoretical analysis. The phy sicalpicture of the falling chain could be usefuli n certain falling systems, providing valuableinsight into the dynamical system.
A freely falling chain from a cup at certain height can jump. The process can be divided into two parts: a stable suspension and an accelerating procedure. Variational principle and force analysis d emonstrate that the shape of stable suspensioni s ani nverted catenary. The requirem ent of thejumping and the parameters to describe the jumping catenary have been studiedi n detail, and experiments have been conducted to verify the theoretical analysis. The phy sicalpicture of the falling chain could be usefuli n certain falling systems, providing valuableinsight into the dynamical system.
[1]http://v.qq.com/x/page/o0363pisyik.html?
[2]WANG W Y, XU W L, XU Y, et al. Physics and Engineering, 2018, 28(3):38-43, 50.
[3]D.T.Almeida Jordan. Chain-oscillations and polygons in physics, master thesis of university of Amsterdam.
[4]Aristoff J M, STONE H A. Proc.R.Soc.A 2012, 468:720-730.
[5]Andrew Belmonte, Michael J.Shelley, Shaden T.Eldakar,et al. Phys.Rev.Lett. 87:114301.
[6]THESS A, ZIKANOV O, NEPOMNYASHCHY A. Phys.Rev.E 1999, 59:3637.
基本信息:
DOI：10.27024/j.wlygc.2025.11.27.01
中图分类号:O31
引用信息:
[1]WANG Wenyu,XU Wulong,XU Yang,等.ANALYSIS AND EXPERIMENTAL STUDY ON THE JUMPING CHAIN[J].物理与工程().DOI:10.27024/j.wlygc.2025.11.27.01.
2026-04-15
2026-04-15
2026-04-15