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Technical Briefs

A Metamodeling Technique for Variable Geometry Trusses Design via Equivalent Parametric Macroelements

[+] Author and Article Information
Josu Aguirrebeitia, Luis M. Macareno, Rafael Avilés

Department of Mechanical Engineering, University of the Basque Country, Alameda de Urquijo s/n, 48013 Bilbao, Spain

Carlos Angulo1

Department of Mechanical Engineering, University of the Basque Country, Alameda de Urquijo s/n, 48013 Bilbao, Spaincarlos.angulo@ehu.es

1

Corresponding author.

J. Mech. Des 131(10), 104501 (Sep 03, 2009) (5 pages) doi:10.1115/1.3202008 History: Received September 10, 2008; Revised July 03, 2009; Published September 03, 2009

A metamodeling methodology is applied to reduce the large computational cost required in the design of variable geometry trusses (VGTs). Using this methodology, submodels of finite elements within a complete FE model of the VGT are substituted by groups of fewer elements called equivalent parametric macroelements (EPMs). The EPM optimum parameters are obtained using equivalence criteria based on elastic energy and inertial properties. The optimization process is performed using nonlinear least square minimization and genetic algorithms.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figure 1

Five-module VGT: (a) prototype and (b) finite element models

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Figure 2

EPM and its correspondence with the joint geometry

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Figure 3

Difference between U and V energies for the 60 displacement cases

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Figure 5

Evolution of natural frequencies (Position 1)

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