Search results for "Optimal shape"

showing 3 items of 3 documents

Symmetry breaking in a constrained cheeger type isoperimetric inequality

2015

We study the optimal constant in a Sobolev inequality for BV functions with zero mean value and vanishing outside a bounded open set. We are interested in finding the best possible embedding constant in terms of the measure of the domain alone. We set up an optimal shape problem and we completely characterize the behavior of optimal domains.

Control and OptimizationOptimal shapeZero (complex analysis)Symmetry and asymmetryMeasure (mathematics)Sobolev inequalityCheeger inequalityCombinatoricsComputational MathematicsMathematics - Analysis of PDEsOptimization and Control (math.OC)Control and Systems EngineeringSettore MAT/05 - Analisi MatematicaFOS: MathematicsExponentSymmetry breakingIsoperimetric inequalitySymmetry (geometry)Constant (mathematics)Mathematics - Optimization and ControlAnalysis of PDEs (math.AP)Mathematics
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LRPH device optimization for axial and shear stresses

2020

The paper concerns an in-depth study of a special connection for steel structures and the formulation of the related optimal design problem. The connection is called Limited Resistance Rigid Perfectly Plastic Hinge (LRPH) and it represents an innovative device devoted to join steel beam elements of frame structures. The device consists in a sequence of steel cross sections constituted by two parallel flanges with suitably different thickness connected by as many webs with constant and equal thickness. The fundamental innovation of the device is the possibility of designing special connections with elastic stiffness and limit strength independent of each other. Such a special characteristic …

Materials scienceSteel connectionsOptimal shapeComputational MechanicsBuilding and ConstructionStructural optimizationEquivalent stiffnessInnovative deviceShear (geology)Mechanics of MaterialsArchitectureComposite materialLimited strengthSafety Risk Reliability and QualityCivil and Structural Engineering
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Multiobjective shape design in a ventilation system with a preference-driven surrogate-assisted evolutionary algorithm

2019

We formulate and solve a real-world shape design optimization problem of an air intake ventilation system in a tractor cabin by using a preference-based surrogate-assisted evolutionary multiobjective optimization algorithm. We are motivated by practical applicability and focus on two main challenges faced by practitioners in industry: 1) meaningful formulation of the optimization problem reflecting the needs of a decision maker and 2) finding a desirable solution based on a decision maker’s preferences when solving a problem with computationally expensive function evaluations. For the first challenge, we describe the procedure of modelling a component in the air intake ventilation system wi…

Pareto optimalitymallintaminenMathematical optimizationOptimization problemProcess (engineering)Computer sciencemedia_common.quotation_subjectmultiple criteria decision makingEvolutionary algorithmoptimal shape designpreference information0102 computer and information sciences02 engineering and technology01 natural sciencesComponent (UML)0202 electrical engineering electronic engineering information engineeringBaseline (configuration management)Function (engineering)Preference (economics)media_commonpareto-tehokkuusilmanvaihtojärjestelmätmetamodelsmonitavoiteoptimointikoneoppiminen010201 computation theory & mathematicsevolutionary multi-objective optimizationcomputational costs020201 artificial intelligence & image processingmuotoProceedings of the Genetic and Evolutionary Computation Conference
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