Análise numérica no controle de vibrações

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Universidade Federal de Goiás


In micro-structure theory, the equations of motion have their foundations in the relation tension / deformation. Microstructure analysis is focused on the science of preparing, interpreting and studying microstructures in engineering materials to understand the behavior and performance of materials. There is a need to evaluate the methods of manufacturing metallic materials for use in the metal industry, including the aerospace industry, the automotive industry, and parts of the construction industry. From a project point of view, the control of vibrations in micro-structures plays a key role. In this work, a bar of the Euler-Bernoulli type with conditions of the crimping-free type. The aim is to analyze the effects of vibrations in in the crimped end of the frame. For control purposes, a field magnetic field at the free end and the distance from the magnetic field source to the control parameter. It is shown that this control design introduces boundary conditions not linear in the formulation of the equations of motion of the structure. The deformation field, in turn, describes the curvature, which can be obtained through the displacement field in a first and second order nonlinear relationship. Assuming small displacements in the deflection angle, the moment / curvature relationship can be described by means of the second-order derivative of the displacement field. This model allows the analysis of the terms of shear forces and momentum that are present in the theory. Like this using the variational principle, the equations of motion are obtained, which allows to determine the field of displacement. The finite element method is used to discretize the equations of motion. Due to the complexity of equations involved the finite difference method is employed to model the nonlinear problem.



Vibrações, Elementos finitos, Mecânica dos sólidos, Engenharia de Produção, Materiais, Vibrations, Finite elements, Solid mechanics, Production Engineering, Materials


LEANDRO, K. M. S. Análise numérica no controle de vibrações. 2019. 80 f. Dissertação (Mestrado em Engenharia de Produção) - Universidade Federal de Goiás, Catalão, 2019.