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力学与实践 ›› 2019, Vol. 41 ›› Issue (1): 43-44.doi: 10.6052/1000-0879-18-291

• 应用研究 • 上一篇    下一篇

流动环的力学分析

朱海东1),*, 高健*, 庄表中   

  1. *浙江水利水电学院建筑工程学院,杭州 310018;
    浙江大学航空航天学院,杭州 310027;
  • 收稿日期:2018-08-08 出版日期:2019-02-20
  • 通讯作者: 1)E-mail: cute39@163.com

MECHANICAL ANALYSIS OF TOROFLUX

ZHU Haidong1),*, GAO Jian*, ZHUANG Biaozhong   

  1. *Zhejiang University of Water Resources and Electric Power, Hangzhou 310018, China;
    School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China;
  • Received:2018-08-08 Online:2019-02-20

摘要: 流动环是一款魔术玩具,具有丰富的力学行为。制作流动环时应用了预应力储存技术,使得环内部储存了弹性弯曲变形能。一经外界扰动,流动环会迅速张开,进入一种新的稳定平衡状态;若给张开的流体环输入某种形式的能量,环会合拢,恢复原有的稳定平衡状态。本文从能量的角度对流动环张开与合拢等现象进行力学分析。

关键词: 流动环, 预应力, 弯曲变形, 应变能

Abstract: The toroflux, as a fancy toy, involves rich mechanical behaviors. In the production process of the toroflux, the prestressed technique is used to increase some bending deformation energy internally. Due to the presence of the bending deformation energy, a folded toroflux under external disturbances can be unfolded as a Chinese lantern structure in a stable equilibrium state. And conversely, an unfolded toroflux driven by an external force moment can go into another stable equilibrium state, i.e., a folded ring. This makes a toroflux easy to be carried in the folded state and with a lightweight structure space in the unfolded state. Moreover, a toroflux around an arm or a long strip, like a silvery bubble that is flowing, moves from high to low due to the effect of the gravity. Based on the energy theory, this paper analyzes a series of mechanical behaviors of the toroflux in the folded and unfolded states.

Key words: toroflux, prestress, bending deformation, strain energy

中图分类号: 

  • O39