The article presents examples of topology optimization for beam structures using various variants of the initial structure. The obtained results include dependencies between the position of selected nodes and the properties of the structure, determined by the average reduced stresses for the entire structure or maximum linear displacements.In the topology optimization, the following strategies for changing the structure shape were applied separately: adding or removing a node and adding or removing a beam finite element. After each modification of the beam structure, a static analysis based on the finite element method was performed. In each strategy, the variant with the structure having the lowest standard deviation of stresses was selected.
The presented optimization can be used at the initial stage of improving the structure topology, before further types of optimization.
EXAMPLES OF TOPOLOGY OPTIMIZATION OF BEAM STRUCTURES BY GROWING GROUND STRUCTURE METHOD
This article presents topology optimization examples of beam structures for different kinds of initial structures. Presented results have been compared with functions of selected nodes position. The values of these functions depends on construction properties (average von Misses stress for entire structure or maximum translational displacement which is measure of overall construction stiffness).
Topology optimization method presented in this article includes four kinds of strategies: addition or removal of beam finite element and addition or removal of construction node with corresponding beam elements. After each modification of structure static analysis based on finite element method is performed. These variants of construction are accepted, which presents most strained structure.
Method presented in this article can be used on initial stage of optimization, before further modifications. (…)
The article contains 13,908 characters.
Source: Logistyka Magazine