Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 19 of 19 for “"Constraint Functions"”.
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On the stress in an internally constrained elastic material
… of invertible tensors. This submanifold, the constraint manifold, is described locally in terms of a manifold structure on the invertible tensors. Constraint functions arise naturally from the submanifold properties of the constraint manifold.
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Quasiconvex optimization via generalized gradients and symmetric duality
… Under certain regularity conditions on the constraint functions, we also prove that a modified version of the classical Karush-Kuhn-Tucker conditions is both necessary and sufficient for optimality. The results extend and strengthen some by Arrow and Enthoven and by Mangasarian.
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Multi-fidelity strategies for lean burn combustor design
… reactive CFD analyses of the objective and constraint functions are normally required in combustor design and optimisation process. Hence, traditional design strategies utilizing only high-fidelity CFD analyses are often ruled out, given the complexity in obtaining accurate flow predictions …
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Multi-objective topology optimization for trabecular bone-like structure: role of stability and surface area
… without the need to specify preset values for constraint functions that may not be directly available. We discuss the implications of our work, particularly in the realm of biomimicry.
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Integrated structural design, vibration control, and aeroelastic tailoring by multiobjective optimization
… taken as the time integral of the Hamiltonian. Constraints on natural frequencies and aeroelastic damping were also considered. Derivatives of the objective and constraint functions with respect to structural and control design variables were derived for a finite element beam model of the …
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The effects of fillers on the mechanical properties of polyester resin and a constrained optimization of filler content
… analysis to determine the mechanical property constraint functions. The constraints were well approximated by linear functions, and linear programming was used to find an optimum. The linear functions could also be used to give a reasonable approximation of the mechanical property constraints …
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Optimal redesign in the presence of system constraint perturbations
… problems (NLP), with perturbed constraints are developed. The first is a second order Classical Perturbation Analysis. The second is a labelling technique which involves the assumption of low constraint curvature near the optimal solution. These estimation procedures require the …
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Maximum empirical likelihood estimation in U-statistics based general estimating equations
… incorporate side information. We use estimated constraint functions and allow the number of constraints and the dimension to grow with the sample size so that these tests can be used to test hypotheses for high dimensional symmetries. We demonstrate that these tests are distribution free and …
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Statistical Surrogate Models for Robust Design Optimisation in Reduced Dimension
… expedient to consider these models as black-box functions, such that they are interrogated by observing the output for prescribed input variables. The inputs of computational models are usually high-dimensional and uncertain. This complexity is managed using surrogates to approximate the …
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Matrix Factorizations, Triadic Matrices, and Modified Cholesky Factorizations for Optimization
… problems whose objective function and constraint functions are twice continuously differentiable. At each iteration, a search direction is computed by solving a linear symmetric system Ax=b. When A is not positive definite, the computed search direction may not be a descent direction. …
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Efficiency, manufacturability, and modeling challenges in structural design optimization
… that accommodate the manufacturability constraints of the direct ink writing process. To accomplish this, the toolpaths of each layer are defined by contours of a level-set function. With this representation, we can define the manufacturing constraints and the material model. We obtain …
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An Improved Genetic Algorithm for the Optimization of Composite Structures
… multivariate approximations of the objective and constraint functions individually instead of direct approximations of the overall fitness function. The primary motivation for the proposed improvements is the nature of the fitness function in constrained engineering design optimization problems. …
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Control Theoretic Methods In Analysis And Design Of Optimization Algorithms
… problems with time-varying objective and constraint functions. This dynamical system is composed of two terms: (i) a correction term consisting of a continuous-time version of Newton's method, and (ii) a prediction term able to track the drift of the optimal solution by taking into account …
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Multi-objective design optimization of a mobile-bearing total disc arthroplasty considering spinal kinematics, facet joint loads, and metal-on-polyethylene contact mechanics
… manipulated to minimize one/multiple objective functions subject to performance constraints and design space bounds. Optimization algorithms typically require the gradients of the objective/constraint functions with respect to each design variable. In the traditional design optimization, due to …
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Adaptive mesh refinement in topology optimization
… design models optimized for arbitrary cost and constraint functions are absolutely necessary ingredients for the solution of real{world engineering design problems. However, such requirements are non trivial to implement. In this thesis, we address this dilemma by developing a large scale …
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Bayesian Optimization for Engineering Design and Quality Control of Manufacturing Systems
… of their underly- ing response surface functions are extremely challenging. Bayesian optimization is a great statistical tool, based on Bayes rule, used to optimize and model these expensive-to-evaluate functions. Bayesian optimization comprises of two important components namely, a sur- …
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Computational design of microvascular biomimetic materials
… a large number of multidisciplinary objective functions and constraints that drive the optimization process. The computational design tool to be developed must be capable of capturing the trade-off between the different objective and constraint functions, as, for example, networks designed for …
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Multiscale design of nonlinear materials using a shape optimization scheme based on an interface-enriched GFEM
… at the macroscale while satisfying a set of constraints associated, for example, with the volume fraction of inclusions or with the manufacturing technique. The optimization method relies on three key ‘modules’: multiscale modeling, sensitivity analysis, and optimization. The multiscale …
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Multi-domain multi-objective optimization of mechanisms: a general method with two case studies
… genetic algorithm and is free of explicit constraint functions even for complex problems. First, it is shown that the use of non-traditional design variables, such as angles and adaptive interpolations, can result in smaller design spaces to be searched and can guarantee that all optima lie …