Robust Topology Optimization: A New Algorithm for Volume-constrained Expected Compliance Minimization with Probabilistic Loading Directions using Exact Analytical Objective and Gradient

Abstract

Abstract

A New Compliance-function-shapeoriented Robust Approach for Volume-constrained Continuous Topology Optimization with Uncertain Loading Directions

“…It is worth to note that ∂Q 1,1 /∂x i and ∂Q 2,2 /∂x i ,i{1,2,...,n} can be generated by simple matrix manipulations (see Csébfalvi [14]). …”

Critical Investigation of the Combined Compliance Average and Spreading Measures in the Robust Topology Optimization with Uncertain Loading Magnitude and Direction

“…In the expectancy oriented approach, the compliance increment which is needed to get the robust design is an implicitly defined response variable. In order to open the possibility of the creative contribution of the designer to the best robust design searching process, this measure is sometimes combined with a spreading-oriented measure, which may be the variance or standard deviation [14][15][16][17][18][19][20]. In these cases, the best weighting schema can be done by a try-and-error-like algorithm in which the weights are design variables and the compliance-increment remains invariably an implicitly defined response variable.…”

Parallel Ant Colony Algorithm for Shortest Path Problem

“…A good approach could be Enhanced Colliding Bodies Optimization (ECBO), which is used for size optimization in the case of monopole steel structures [54]. Another research scope is the Volume-constrained Expected Compliance Minimization with Probabilistic Loading Directions supported by the optimal solution searching optimality criteria (OC) method [55]. An efficient approach is the shortest route trees, that helps the meshing procedure [56].…”