Eventos Anais de eventos
CONEM 2022
XI Congresso Nacional de Engenharia Mecânica - CONEM 2022
Dynamic Behavior of an Axial-Loaded Timoshenko Beam on the Elastic Foundation and Second Spectrum Analysis
Submission Author:
Lucas Oliveira Siqueira , SP
Co-Authors:
Lucas Oliveira Siqueira, Rômulo Cortez, Simone dos Santos Hoefel
Presenter: Lucas Oliveira Siqueira
doi://10.26678/ABCM.CONEM2022.CON22-0330
Abstract
The dynamic behavior of systems subject to soil-structure interaction is of great importance in civil engineering. Among the applications of this multiphysics problem can be highlighted railroad tracks, highway pavement, continuously supported pipelines and strip foundations. In this context, the aim of this paper is to use the vibration analysis by finite element method to study the behavior and the second spectrum of uniform beams supported on two-parameter elastic foundation. The first foundation parameter is modeled using linear springs similar to the Winkler foundation and the second foundation parameter is modeled as a shear layer as a function of the total slope of the beam. The effects of axial force, foundation stiffness parameters, transverse shear deformation and rotatory inertia are incorporated into the accurate vibration analysis. The motion equation is derived using Hamilton’s variational principle based on the finite element Method (FEM). A finite element is developed by means of the Rayleigh-Ritz using a cubic and quadratic approximated polynomial. The finite element and the analytic solutions are compared to verify the accuracy of the method in this kind of problem. The results obtained are discussed and compared with results obtained by other researchers. The rotary inertia parameter, the axial load parameter and the foundation stiffness influence in the frequency parameter are investigated. The results showed that the axial load decrease the frequency parameter and the foundation increase the frequency parameter. The second spectrum was studied for the hinged-hinged beam presenting a tiny difference for the addition of the foundation and the axial load. In addition, the second spectrum was not verified for the clamped-clamped beam, as expected. Finally, the finite element results present well agreement with the other researches results.
Keywords
Finite Element Method, Timoshenko beam theory, elastic foundation, Second Spectrum
