In this thesis, an extensive review on different transformable systems used in architecture and civil engineering is given. After the review, structures undergoing large displacements and instability phenomenon were highlighted. The main goal of the dissertation was to investigate the general behavior of a specific, immature self-deploying system, the antiprismatic structure proposed by Hegedus. The emphasis was mainly taken to the analysis of the packing behavior. First, a simplified planar model was identified sharing similar, highly nonlinear packing behavior. For both the 2D and the 3D structures numerical simulation of the packing was performed with different type of controls and the results were confirmed by analytical investigations. The research clarifies the mechanical behavior of the chosen system, provides tools to simulate the packing of the structure, options for control, and gives very simple approximations for main mechanical characteristics of the antiprismatic system in order to facilitate preliminary design and verification of the numerical results. The significance of snap-back behavior, occurring at the force-displacement diagram during packing was analyzed. Within the framework of the thesis a novel type of system, slightly deviating from the original one was also investigated. For the specific systems, small physical models were built and presented in this work, which led to the proposal of a novel type of expandable tube. An attempt was given to provide ideas for application of antiprismatic structures by combining the investigated system and different learnt existing systems from the architectural review.

Dans cette thèse, nous nous intéressons d’abord à de possibilités d’application des structures déployables en architecture et dans l’industrie de construction. Le thème principale de la recherche a été l’étude des structures subissant de grandes déformations et en passent par état d’instabilité au cours d’un programme de chargement. Le but était la description générale du comportement mécanique d’un système modèle d’une structure antiprismatique, auto-déployablée proposée par Hegedus. La plus grande importance a été mis sur exploitation du comportement de la structure au cours de son emballement, de qui a été examine en considérant différentes possibilités de contrôle de procédure. En utilisant des simulations numériques, dont les résultats ont été vérifiés par les approches analytiques, on a clarifié le comportement mécanique du système anti prismatique, et on a donné des formules simple permettant d’évaluer de principaux paramètres géométriques et mécaniques pour facilité le pré-dimensionnement de la structure. L’importance de l'influence de l’intensité et de la fréquence du déplacement relatif interne généré brusquement au cours d’emballement a été également étudiée. Dans le cadre de la thèse on a analysé également les caractéristiques mécaniques d’une système différent de la structure d’origine. Pour les deux différent systèmes structuraux on a préparé des modèles physiques expérimentaux, dont les résultat ont conduit aux nouveaux types des structures, lesquelles sont les structures spatiales pliables á plat. On a proposé alors quelques idées et schémas pour la possibilité d’application architecturale de systèmes treillis antiprismatiques. / In this thesis, an extensive review on different transformable systems used in architecture and civil engineering is given. After the review, structures undergoing large displacements and instability phenomenon were highlighted. The main goal of the dissertation was to investigate the general behavior of a specific, immature self-deploying system, the antiprismatic structure proposed by Hegedus. The emphasis was mainly taken to the analysis of the packing behavior. First, a simplified planar model was identified sharing similar, highly nonlinear packing behavior. For both the 2D and the 3D structures numerical simulation of the packing was performed with different type of controls and the results were confirmed by analytical investigations. The research clarifies the mechanical behavior of the chosen system, provides tools to simulate the packing of the structure, options for control, and gives very simple approximations for main mechanical characteristics of the antiprismatic system in order to facilitate preliminary design and verification of the numerical results. The significance of snap-back behavior, occurring at the force-displacement diagram during packing was analyzed. Within the framework of the thesis a novel type of system, slightly deviating from the original one was also investigated. For the specific systems, small physical models were built and presented in this work, which led to the proposal of a novel type of expandable tube. An attempt was given to provide ideas for application of antiprismatic structures by combining the investigated system and different learnt existing systems from the architectural review.