Eventos Anais de eventos
DINAME2019
DINAME2019
Nonlinear vibrations analysis of a conoidal shell
Submission Author:
Cássio Moreira , GO
Co-Authors:
Cássio Moreira, Renata Soares, Frederico Martins Alves da Silva
Presenter: Renata Soares
doi://10.26678/ABCM.DINAME2019.DIN2019-0030
Abstract
Conoidal shells are lightweight structures that are often used as roofing in civil construction due to their pleasant and modern aesthetics, as well as allowing the entry of natural light, presenting ease of execution and good structural performance. To fully understand the behavior of these structures it is necessary to analyze them considering the geometric nonlinearity of the problem. In this work, a static and dynamic nonlinear analysis of a conoidal shell made of homogeneous, isotropic and linear elastic material, submitted to a uniformly distributed load in the transverse direction, is made with the aid of the commercial finite element software ABAQUS®. The natural frequency of this shell and its corresponding vibration mode is obtained as well as the nonlinear equilibrium path, the frequency-load relation, the frequency-amplitude relation and the phase portrait diagram for forced vibration. Results show the softening behavior of these structures and the occurrence of snap through for certain dynamic perturbations.
Keywords
Conoidal shell, nonlinear vibration, natural frequency, Finite Element Method

