High-flying unmanned reconnaissance and surveillance systems are now being used extensively in the United States military. Current development programs are producing demonstrations of next-generation unmanned flight systems that are designed to perform combat missions. Their use in first-strike combat operations will dictate operations in densely cluttered environments that include unknown obstacles and threats, and will require the use of terrain for masking. The demand for autonomy of operations in such environments dictates the need for advanced trajectory optimization capabilities. In addition, the ability to coordinate the movements of more than one aircraft in the same area is an emerging challenge. This thesis examines using an analytical reduced order formulation for trajectory generation for minimum time and terrain masking cases. First, pseudo-3D constant velocity equations of motion are used for path planning for a single vehicle. In addition, the inclusion of winds, moving targets and moving threats is considered. Then, this formulation is increased to using 3D equations of motion, both with a constant velocity and with a simplified varying velocity model. Next, the constant velocity equations of motion are expanded to include the simultaneous path planning of an unspecified number of vehicles, for both aircraft avoidance situations and formation flight cases.

Most of the current optimization techniques for the design of light-weight structures are unable to generate structural alternatives at the concept stage of design. This research tackles the challenge of developing an optimization method for the early stage of design. The main goal is to propose a procedure to optimize material and shape of stiff shafts in torsion. / Recently introduced for bending stiffness design, shape transformers are presented in this thesis for optimizing the design of shafts in torsion. Shape transformers are geometric parameters defined to classify shapes and to model structural efficiency. The study of shape transformers are centered on concept selection in structural design. These factors are used to formulate indices of material and shape selection for minimum mass design. An advantage of the method of shape transformers is that the contribution of the shape can be decoupled from the contribution of the size of a cross-section. This feature gives the designer insight into the effects that scaling, shape, as well as material have on the overall structural performance. / Similar to the index for bending, the performance index for torsion stiffness design is a function of the relative scaling of two cross-sections. The thesis examines analytically and graphically the impact of scaling on the torsional efficiency of alternative cross-sections. The resulting maps assist the selection of the best material and shape for cross-sections subjected to dimensional constraints. It is shown that shape transformers for torsion, unlike those for bending, are generally function of the scaling direction. / The efficiency maps ease the visual contrast among the efficiency of open-walled cross-sections and that of close-walled cross-sections. As expected, the maps show the relative inefficiency of the former compared to the latter. They can also set the validity range of thin- and thick-walled theory in torsion stiffness design. The analytical results are validated with the numerical data obtained from ANSYS to guarantee the consistency of the models. The thesis concludes with three case studies that demonstrate the method.

Thesis (Ph. D.)--Mechanical Engineering, Georgia Institute of Technology, 2008. / Committee Chair: Bras, Bert; Committee Member: Allen, Janet; Committee Member: Chameau, Jean-Lou; Committee Member: McGinnis, Leon; Committee Member: Paredis, Chris.

Thesis (Ph.D.)--Aerospace Engineering, Georgia Institute of Technology, 2009. / Committee Chair: Mavris, Dimitri; Committee Member: Bishop, Carlee; Committee Member: McMichael, James; Committee Member: Nixon, Janel; Committee Member: Schrage, Daniel

This thesis deals with optimization of a vehicle’s (racing) drive on a track. The model of a vehicle and a track is built in this thesis. The first chapter is devoted to the fastest pass problem formulation. The problem optimizes (in the least time) the vehicle’s drive from a start line to a finish line. The problem is formulated as an optimal control theory problem. In the second chapter the optimal control theory problem is suitably discretised and transformed into a nonlinear programming problem. The transformation of the fastest pass problem into nonlinear programming problem, its detailed and illustrative derivation and reformulation form the main part of the thesis. Third chapter presents the implementation and solution of the problem using GAMS and MATLAB. This thesis is a part of a specific research project on which the author has participated. The main contribution of the author is an original formulation of the fastest pass problem as a nonlinear programming problem and its implementation and solving using GAMS.

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In order to perform structural optimization and/or modification on a structure, an analytical model which sufficiently describes the behavior of the structure must be developed. Analytical models can be generated for almost any structure, but such a model will generally not effectively predict the behavior of the structure unless the model is somehow reconciled with experimental data taken from the structure. Additionally, the model must also be complete, i.e., it must not only model the structure but also model any suspension system used to support the structure. If the suspension is not included in the model, any attempt to reconcile the model with experimental data will result in a incorrect model. Using this incorrect model to perform structural modification cannot be expected to give correct results. In this thesis, an approach for estimating the effects of a suspension system on the flexural vibration of a structure is developed. These effects are treated mathematically as variations in boundary conditions. Topics discussed include formulation of an analytical model that includes suspension effects, experimental methods for acquiring mode shapes which exhibit these effects, and reconciliation techniques for matching analytical mode shapes to experimental mode shapes to determine the effective boundary conditions. / Master of Science

Consciente que l’unité de compétitivité n’est plus l’entreprise mais toute la chaîne logistique contribuant à la réalisation du produit, les efforts consentis par l’entreprise se matérialisent, d’une part, par la volonté de maîtriser au mieux les activités de conception des produits et d’autre part, par la construction de collaborations entre tous les acteurs de la chaîne logistique participant au cycle de vie du produit. Cela a conduit à l’émergence d’une gestion collaborative du cycle de vie du produit appelée communément PLM. L’objet de cette thèse consiste à définir une démarche méthodologique pour répondre à la problématique suivante : Comment le PLM pourra t-il participer à l’optimisation de la chaîne logistique ? Nous adoptons, dans cette thèse, une approche hybride combinant PLM et modèles mathématiques pour optimiser les décisions de conception simultanée du produit et de sa chaîne logistique. Nous proposons des modèles conceptuels pour résoudre de manière formelle le compromis entre PLM et modèles mathématiques pour une optimisation de la chaîne logistique. Contrairement aux approches classiques centralisées utilisées pour traiter le problème intégré de conception du produit et de sa chaîne logistique et qui engendrent des modèles mathématiques compliqués, nous adoptons une démarche couplant des décisions centralisées quand il s’agit d’intégrer les contraintes des différents maillons de la chaîne logistique et une approche décentralisée quand il s’agit d’optimiser localement chaque maillon de la chaîne. Le mode décentralisé réduit la complexité de résolution des modèles mathématiques et permet à la chaîne logistique de répondre rapidement à l’évolution des conditions locales de chaque maillon. Le PLM joue le rôle d’intégrateur. En effet, le regroupement centralisé des informations par le PLM permet de prendre en considération la dépendance entre les maillons améliorant ainsi les résultats obtenus par optimisation locale. / AIt is recognized that competition is shifting from “firm versus firm” perspective to “supply chain versus supply chain” perspective. Therefore, the ability to optimize the supply chain is becoming the critical issue for companies to win the competitive advantage. Furthermore, all members of a given supply chain must work together to respond to the changes of market demand rapidly. In the actual context, enterprises not only must enhance their relationships with each others, but also need to integrate their business processes through product life cycle activities. This has led to the emergence of a collaborative product lifecycle management commonly known as PLM. The objective of this thesis is to define a methodological approach which answers to the following problematic: How can PLM contribute to supply chain optimization ? We adopt, in this thesis, a hybrid approach combining PLM and mathematical models to optimize decisions for simultaneous design of the product and its supply chain. We propose conceptual models to solve formally the compromise between PLM and mathematical models for supply chain optimization. Unlike traditional centralized approaches used to treat the problem of integrated design of the product and its supply chain which generate complex mathematical models, we adopt an approach combining centralized decisions while integrating the constraints of the different supply chain partners during the product design and decentralized decisions when it comes to locally optimize each supply chain partner. The decentralized approach reduces the complexity of solving mathematical models and allows the supply chain to respond quickly to the evolution of local conditions of each partner. PLM will assure the integration of the different supply chain partners. Indeed, the information centralization by the PLM enables to take into consideration the dependence between these partners, improving therefore local optimization results.

This thesis deals with modelling diffenrent types of production lines. Modeling is done by the mathematical programming and simulation methods. Optimization related computations are mostly implemented in program GAMS. Simulation is realized by using program Matlab/SimEvents. The results are presented by the Gantt diagrams.