Structural dynamic analysis for time response of bars and trusses using the generalized finite element method
AUTOR(ES)
Torii, André Jacomel, Machado, Roberto Dalledone
FONTE
Lat. Am. j. solids struct.
DATA DE PUBLICAÇÃO
2012-06
RESUMO
The Generalized Finite Element Method (GFEM) can be viewed as an extension of the Finite Element Method (FEM) where the approximation space is enriched by shape functions appropriately chosen. Many applications of the GFEM can be found in literature, mostly when some information about the solution is known a priori. This paper presents the application of the GFEM to the problem of structural dynamic analysis of bars subject to axial displacements and trusses for the evaluation of the time response of the structure. Since the analytical solution of this problem is composed, in most cases, of a trigonometric series, the enrichment used in this paper is based on sine and cosine functions. Modal Superposition and the Newmark Method are used for the time integration procedure. Five examples are studied and the analytical solution is presented for two of them. The results are compared to the ones obtained with the FEM using linear elements and a Hierarchical Finite Element Method (HFEM) using higher order elements.
Documentos Relacionados
- Large deflection and initial instability analysis of anisotropic plates by the generalized finite element method
- An object-oriented class design for the generalized finite element method programming
- Vibration analysis of stiffened plates using finite element method
- An Object-Oriented Class Organization for Global-Local Generalized Finite Element Method
- Interaction Analysis of Non-aligned Cracks Using Extended Finite Element Method