Citas bibligráficas
Ayala, S., Vallejos, A. (2020). Modelación computacional en vigas funcionalmente graduadas para el análisis de pandeo utilizando el método de elementos finitos [Tesis, Universidad Peruana de Ciencias Aplicadas (UPC)]. http://hdl.handle.net/10757/653437
Ayala, S., Vallejos, A. Modelación computacional en vigas funcionalmente graduadas para el análisis de pandeo utilizando el método de elementos finitos [Tesis]. PE: Universidad Peruana de Ciencias Aplicadas (UPC); 2020. http://hdl.handle.net/10757/653437
@misc{renati/392373,
title = "Modelación computacional en vigas funcionalmente graduadas para el análisis de pandeo utilizando el método de elementos finitos",
author = "Vallejos Torres, Augusto Leonardo",
publisher = "Universidad Peruana de Ciencias Aplicadas (UPC)",
year = "2020"
}
The purpose of the present work is to develop a mathematical model that allows the stability analysis of a beam composed of functionally graded materials subjected to an axial compressive load. The objective is to analyze the behavior of a heterogeneous beam and calculate the buckling loads and modes. In the development of the investigation, the field of displacement of the beam is described in vectors to obtain the governing equations of the structure. In this way, by energetic principles, the finite element model can be developed, and the solution can be found by eigenvalue and eigenvector exercise. The mathematical model is divided in two parts: symbolic formulation and computational numerical model. In the model, the functionally graded materials affect the modulus of elasticity due to the particularity of the material; and the total potential energy is affected by two states: fundamental state (membrane deformation or pre-buckling) and incremental state (arbitrary perturbation of the equilibrium). The results obtained were verified with benchmarking exercises found in literature, to corroborate the effectiveness of the proposed model; validated with lab test-reports, to check its accuracy; and studied parametrically, to analyze the influence of the variables.
Este ítem está sujeto a una licencia Creative Commons Licencia Creative Commons