TY - GEN
T1 - Nonlinear Transient Dynamic Behaviour of Functionally Graded Beams
AU - Suarez, E. J.
AU - Arciniega, R.
N1 - Publisher Copyright:
© 2023 Latin American and Caribbean Consortium of Engineering Institutions. All rights reserved.
PY - 2023
Y1 - 2023
N2 - The objective of the following investigation deals with the geometrically nonlinear transient dynamic analysis of functionally graded beams. The effect of thickness stretching, and shear strain is considered within the formulation of the improved beam theory, which requires five independent variables and fully utilizes the constitutive equations. The graded material properties are realized under two material phases and are distributed by power law. The dynamic formulation is based on the Hamilton principle, which comes from the principle of minimum energy and being able to use the Lagranges function. The model is implemented by means of the Finite Element method for its numerical resolution, for this the modified Newmark method is used, in which the Newton Raphson method is applied to solve the system of nonlinear equations. High order interpolation functions are used to reduce the Poisson locking effect. Finally, the results are compared with benchmark problems and proposing new case studies.
AB - The objective of the following investigation deals with the geometrically nonlinear transient dynamic analysis of functionally graded beams. The effect of thickness stretching, and shear strain is considered within the formulation of the improved beam theory, which requires five independent variables and fully utilizes the constitutive equations. The graded material properties are realized under two material phases and are distributed by power law. The dynamic formulation is based on the Hamilton principle, which comes from the principle of minimum energy and being able to use the Lagranges function. The model is implemented by means of the Finite Element method for its numerical resolution, for this the modified Newmark method is used, in which the Newton Raphson method is applied to solve the system of nonlinear equations. High order interpolation functions are used to reduce the Poisson locking effect. Finally, the results are compared with benchmark problems and proposing new case studies.
KW - FGM
KW - Finite Element Model
KW - Improve First Shear Deformation Theory of Beam
KW - Transient Analysis
UR - https://www.scopus.com/pages/publications/85172347811
M3 - Contribución a la conferencia
AN - SCOPUS:85172347811
T3 - Proceedings of the LACCEI international Multi-conference for Engineering, Education and Technology
BT - Proceedings of the 21st LACCEI International Multi-Conference for Engineering, Education and Technology
A2 - Larrondo Petrie, Maria M.
A2 - Texier, Jose
A2 - Matta, Rodolfo Andres Rivas
PB - Latin American and Caribbean Consortium of Engineering Institutions
T2 - 21st LACCEI International Multi-Conference for Engineering, Education and Technology, LACCEI 2023
Y2 - 19 July 2023 through 21 July 2023
ER -