A continuous model for connectivity constraints in topology optimization
Alberto Donoso, Ernesto Aranda, David Ruiz
Abstract
Abstract The aim of this work is to present a continuos mathematical model that characterizes and enforces connectivity in a topology optimization problem. That goal is accomplished by constraining the second eigenvalue of an auxiliary eigenproblem, solved together with the governing state law in each step of the iterative process. Our density-based approach is illustrated with 2d and 3d numerical examples in the context of structural design.
Topics & Concepts
Topology optimizationContext (archaeology)Engineering design processMathematical optimizationEigenvalues and eigenvectorsTopology (electrical circuits)Process (computing)Computer scienceState (computer science)Work (physics)Applied mathematicsMathematicsFinite element methodAlgorithmEngineeringPhysicsGeologyOperating systemMechanical engineeringCombinatoricsStructural engineeringPaleontologyQuantum mechanicsTopology Optimization in EngineeringAdvanced Multi-Objective Optimization AlgorithmsMetaheuristic Optimization Algorithms Research