Name: HÉLIO GOMES FILHO
Type: MSc dissertation
Publication date: 18/12/2018
Advisor:

Namesort descending Role
ELCIO CASSIMIRO ALVES Advisor *

Examining board:

Namesort descending Role
ELCIO CASSIMIRO ALVES Advisor *
ETERELDES GONÇALVES JUNIOR Co advisor *
RODRIGO SILVEIRA CAMARGO Internal Examiner *

Summary: This work presents the optimization of the thickness of shells subjected to static and
dynamic loading. The structural analysis is done by the Finite Element Method. A
combination of the CST elements (Constant Strain Triangle) and DKT (Discrete Kirchhoff
Theory) was used as the shell element, thus forming an element with fifteen degrees
of freedom (three nodes with five degrees of freedom each) . The finite element mesh
is generated for a unitary square domain and transformed for the domain analyzed by
means of NURBS functions. These functions model the domain (surface) in study. We
developed routines to optimize the thickness of the shell elements using the SQP (Sequential
Quadratic Programming) method available as a tool of the Matlab software, using as
constrains the maximum displacement and the minimum vibration frequency. Several
examples were used to validate static and dynamic analysis routines, comparing results
with consecrated literature and with models developed in the ANSYS Workbench software.
As a final example, they propose a modeling for the Pampulha Church.
Keywords: Shells. FEM. Dynamics. Optimization. NURBS.

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