AN INVERSE FORCE ANALYSIS OF A TETRAHEDRAL 3-SPRING SYSTEM

被引：5

作者：

DIETMAIER, P

机构：

[1] Institute for Mechanics, Teciinicai University Graz, Graz

来源：

JOURNAL OF MECHANICAL DESIGN | 1995年 / 117卷 / 02期

关键词：

D O I：

10.1115/1.2826136

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

A tetrahedral three-spring system under a single load has been analyzed and a closed-form solution for the equilibrium positions is given. Each of the three springs is attached at one end to a Feed pivot in space white the other three ends are linked by a common pivot. The springs are assumed to behave in a linearly elastic way. The aim of the paper at hand was to find out what the maximum number of equilibrium positions of such a system might be, and how to compute all possible equilibrium configurations if a given force is applied to the common pivot. First a symmetric and unloaded system was studied. For such a system it was shown that there may exist a maximum of 22 equilibrium configurations which may all be real. Second the general, loaded system was analyzed, revealing again a maximum of 22 real equilibrium configurations. Finally, the stability of this three-spring system was investigated. A numerical example illustrates the theoretical findings.

引用

页码：286 / 291

页数：6

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