### Abstract

A method is presented by means of which the equilibrium path of any elastic bar structure may be traced globally, without applying iteration techniques. The basic idea is that the bar structure is reduced to a set of Initial Value Problems (IVPs) with parameters, and the equilibrium path is piecewise linearly interpolated in the parameter space. The way in which this method is capable of handling problems of active static control is demonstrated. The mathematical basis of this type of method is described by Allgower and Georg [1] as the Piecewise Linear (PL) algorithm. Here it is shown how this algorithm can be applied to problems in structural mechanics.

Original language | English |
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Pages (from-to) | 549-571 |

Number of pages | 23 |

Journal | Mechanics of Structures and Machines |

Volume | 23 |

Issue number | 4 |

Publication status | Published - Nov 1995 |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Mechanics of Structures and Machines*,

*23*(4), 549-571.

**Global, direct algorithm for path-following and active static control of elastic bar structures.** / Domokos, G.; Gaspar, Zs.

Research output: Contribution to journal › Article

*Mechanics of Structures and Machines*, vol. 23, no. 4, pp. 549-571.

}

TY - JOUR

T1 - Global, direct algorithm for path-following and active static control of elastic bar structures

AU - Domokos, G.

AU - Gaspar, Zs

PY - 1995/11

Y1 - 1995/11

N2 - A method is presented by means of which the equilibrium path of any elastic bar structure may be traced globally, without applying iteration techniques. The basic idea is that the bar structure is reduced to a set of Initial Value Problems (IVPs) with parameters, and the equilibrium path is piecewise linearly interpolated in the parameter space. The way in which this method is capable of handling problems of active static control is demonstrated. The mathematical basis of this type of method is described by Allgower and Georg [1] as the Piecewise Linear (PL) algorithm. Here it is shown how this algorithm can be applied to problems in structural mechanics.

AB - A method is presented by means of which the equilibrium path of any elastic bar structure may be traced globally, without applying iteration techniques. The basic idea is that the bar structure is reduced to a set of Initial Value Problems (IVPs) with parameters, and the equilibrium path is piecewise linearly interpolated in the parameter space. The way in which this method is capable of handling problems of active static control is demonstrated. The mathematical basis of this type of method is described by Allgower and Georg [1] as the Piecewise Linear (PL) algorithm. Here it is shown how this algorithm can be applied to problems in structural mechanics.

UR - http://www.scopus.com/inward/record.url?scp=0029405860&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029405860&partnerID=8YFLogxK

M3 - Article

VL - 23

SP - 549

EP - 571

JO - Mechanics Based Design of Structures and Machines

JF - Mechanics Based Design of Structures and Machines

SN - 1539-7734

IS - 4

ER -