Développement et analyse de mécanismes de tenségrité

Authors: Arsenault, Marc
Advisor: Gosselin, Clément
Abstract: A tensegrity system corresponds to an assembly of components that are subjected only to axial loads. As a consequence, cables or springs can be used for the tensile components thus considerably reducing the mass and inertia of the system. With the goal of benefiting from these interesting properties, this thesis introduces tensegrity mechanisms as alternatives to more conventional type mechanisms for certain types of applications. The main objectives of the thesis are the development and analysis of novel mechanisms. The need for tensegrity mechanisms to remain in configurations where their cables and springs are subjected to tensile loads complicates their development signi- ficantly. Consequently, a new approach based on the use of springs is proposed to overcome this difficulty. In order to facilitate the use of this approach, certain rules pertaining to the quantity of springs used in a given architecture are formulated. Based on these rules, two planar mechanisms, three spatial mechanisms and two modular mechanisms are developed using existing tensegrity systems. Each new mechanism is modeled with the goal of analyzing its kinematics, statics and dynamics. Due to the presence of unconstrained degrees of freedom in the mechanisms’ architectures, relations between their input and output variables are influenced by any external, gravitational or inertial loads that might be acting. By assuming a quasi-static regime, such relations can be computed using a numerical approach. However, for the specific case where the mechanisms are not subjected to any loads, analytical solutions are found. These solutions are then exploited in order to compute the boundaries to the mechanisms’ workspaces. The mechanisms’ unconstrained degrees of freedom allow them to deform under the application of external loads. Special attention is thus given to the stiffness of the mechanisms as well as the limits of the external loads that they may resist without losing their stability or the tension in their cables. Observations are also made regarding the damping of the mechanisms’ vibrations along the unconstrained degrees of freedom.
Document Type: Thèse de doctorat
Issue Date: 2006
Open Access Date: 12 April 2018
Permalink: http://hdl.handle.net/20.500.11794/18876
Grantor: Université Laval
Collection:Thèses et mémoires

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