Equilibria and instabilities of a Slinky: Discrete model

Douglas P. Holmes; Andy D. Borum; Billy F. Moore Ⅲ; Raymond H. Plaut; David A. Dillard

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Equilibria and instabilities of a Slinky: Discrete model

机译：Slinky的平衡和不稳定性：离散模型

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摘要

The Slinky is a well-known example of a highly flexible helical spring, exhibiting large, geometrically non-linear deformations from minimal applied forces. By considering it as a system of coils that act to resist axial, shearing, and rotational deformations, we develop a two-dimensional discretized model to predict the equilibrium configurations of a Slinky via the minimization of its potential energy. Careful consideration of the contact between coils enables this procedure to accurately describe the shape and stability of the Slinky under different modes of deformation. In addition, we provide simple geometric and material relations that describe a scaling of the general behavior of flexible, helical springs.

机译：Slinky是高度灵活的螺旋弹簧的一个著名例子，由于最小的作用力，它呈现出较大的几何非线性变形。通过将其视为可抵抗轴向，剪切和旋转变形的线圈系统，我们开发了二维离散模型，以通过使势能最小化来预测Slinky的平衡构型。仔细考虑线圈之间的接触，可以使此过程准确描述不同变形模式下的Slinky的形状和稳定性。此外，我们提供了简单的几何和材料关系，这些关系描述了柔性螺旋弹簧总体性能的缩放比例。

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来源
《International journal of non-linear mechanics》 |2014年第10期|236-244|共9页
作者
Douglas P. Holmes; Andy D. Borum; Billy F. Moore Ⅲ; Raymond H. Plaut; David A. Dillard;
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作者单位

Department of Engineering Science and Mechanics, Virginia Tech, Blacksburg, VA 24061, USA;

Department of Aerospace Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA;

Department of Engineering Science and Mechanics, Virginia Tech, Blacksburg, VA 24061, USA;

Department of Civil and Environmental Engineering, Virginia Tech, Blacksburg, VA 24061, USA;

Department of Engineering Science and Mechanics, Virginia Tech, Blacksburg, VA 24061, USA;

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原文格式 PDF
正文语种 eng
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关键词
Helical springs; Non-linear deformations; Static equilibria; Discrete model; Energy minimization;

机译：螺旋弹簧;非线性变形;静态平衡;离散模型;能源最小化;

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Equilibria and instabilities of a Slinky: Discrete model

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