Análise numérico-experimental do comportamento dinâmico de uma viga engastada-livre obtida por manufatura aditiva

Abstract

The Finite Element Method (FEM) is a technique of numerical analysis to determine approximate solutions of problems governed by differential equations. In this work, the main goal is to apply it in the development of a numerical routine, elaborated in MATLAB®, for the dynamic structural analysis of a cantilever beam. Furthermore, with the present work is also proposed to model the dynamic behavior of the beam through ANSYS® software and to perform experimental tests on prototypes made by the additive manufacturing process. As a way of verifying, the results obtained from the simulations in MATLAB® are compared with the analytical and by ANSYS® results. Subsequently, the results corresponding to the numerical modeling of the prototypes are compared with the results obtained by experimental modal analysis, and to analyze the influence of the “printing orientation” parameter in the dynamic behavior of the prototypes, the experimental results are compared to each other. At the end of the work, it is concluded that: as expected by Costa (2006), Euler-Bernoulli’s theory (MATLAB®) tends to overestimate the natural frequencies, especially for the higher order modes; and the difference between the numerical and experimental results is due to the damping not to be considered in the numerical modeling of the prototypes and, with respect to the experimental tests, to the clamp not to be perfect.