A new adaptive ground structure method for multi-load spatial Michell structures
Tomasz Grzegorz Sokół
AbstractIn the paper a new method of solving large-scale linear programming problems related to Michell trusses, generalized to multiple load conditions and three-dimensional domains, is proposed. The method can be regarded as an extension of the adaptive ground structure methods developed recently by the author. In the present version both bars and nodes can be switched between active and inactive states in subsequent iterations allowing significant reduction of the problem size. Thus, the numerical results can be attained for denser ground structures giving better approximation of exact solutions to be found. The examples of such exact solutions (new 3D Michell structures), motivated by the layouts predicted numerically, are also reported and can serve as benchmark tests for future methods of numerical optimization of structural topology in 3D space.
|Publication size in sheets||0.3|
|Book||Kleiber M. (eds.): Advances in Mechanics: Theoretical, Computational and Interdisciplinary Issues : Proceedings of the 3rd Polish Congress of Mechanics (PCM) and 21st International Conference on Computer Methods in Mechanics, 2016, Taylor &Francis Group, ISBN 9781138029064, 650 p.|
|Keywords in English||3D Michell structures, multiple load conditions, linear programming|
|Score|| = 15.0, 16-02-2017, BookChapterMatConf|
= 15.0, 16-02-2017, BookChapterMatConf
|Citation count*||1 (2017-05-24)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.