On the adaptive ground structure approach for multi-load truss topology optimization,
Tomasz Grzegorz Sokół , G.I. Rozvany
AbstractThis paper presents new numerical solutions of generalized Michell structures subjected to multiple load conditions. These results were obtained using a new method to determine optimal topologies of multi-load trusses, recently developed by the first author of the paper. The method is based on the adaptive ground structure approach and stress-based formulation of the optimization problem. It leads to a huge but linear programming problem. Thus, the proposed method assures finding the global optimum for the given discretization of the design domain, represented here by the fully connected ground structure. The method makes use of both active set and interior point methods and allows solving a large-scale optimization problem even with more than billion design variables. The efficiency and robustness of the proposed method have been confirmed in several benchmark tests. An important result of this research is finding a new exact-analytical solution of a specific symmetrical two-load case problem. This solution was predicted numerically using the method described above, and then adjusted to obtain the exact formulae describing the layout of the optimal structure using the concept of component loads.
|Publication size in sheets||271.4|
|Book||10th World Congress on Structural and Multidisciplinary Optimization. Abstract book. [+CD] - WCSMO, 2013, Orlando,FL, Renaissance Orlando|
|Keywords in English||topology optimization, optimal trusses, multi-load case, ground structure, linear programming|
|Publication indicators||= 8; = 21.0|
|Citation count*||21 (2020-07-01)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.