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| Author(s): |
Tiago Morkis Siqueira
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Escola de Engenharia de São Carlos (EESC/SBD) |
| Defense date: | 2019-02-22 |
| Examining board members: |
Humberto Breves Coda;
Rodrigo Ribeiro Paccola;
José Benaque Rubert;
Gustavo Henrique Siqueira;
Alex Sander Clemente de Souza
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| Advisor: | Humberto Breves Coda |
| Abstract | |
This study deals with the development of a mathematical formulation for sliding connections applied to the geometrical nonlinear dynamical analysis of three-dimensional structures and mechanisms along with its computational implementation. These kinds of connections have several applications in aerospace, mechanical and civil industries when simulating, e.g.: satellite antennas, robotic arms and cranes; frame like civil structures, such precast structures; and the coupling between moving vehicles and bridges of any geometry. For the introduction of sliding connections in plane frames, spatial frames and shell finite elements the Lagrange multipliers, augmented Lagrangian and penalty function methods are employed as to enforce the joints kinematic constraints. Aspects such as roughness and friction dissipation on the connections sliding path are considered as to complement the numerical model. Rotational connections between the employed finite elements are also considered. In addition, a formulation for flexible actuators is developed to introduce motion to the bodies. In order to simulate the behaviour of solids, a total Lagrangian finite element method formulation based on positions is employed. The Saint-Venant-Kirchhoff constitutive relation is used to characterize the materials. The time integration of the constrained nonlinear equations of motion is studied by the Newmark and generalized-α methods and the solution of the nonlinear system is obtained by the Newton-Raphson method. Several examples are presented to verify the proposed formulations. (AU) | |
| FAPESP's process: | 16/00622-0 - Sliding connections for geometrical nonlinear dynamical analysis of three-dimensional structures and mechanisms |
| Grantee: | Tiago Morkis Siqueira |
| Support Opportunities: | Scholarships in Brazil - Doctorate |