Sensitivity analysis of a member under compression via Monte Carlo method
Published 2018-06-12
Keywords
- Buckling load,
- finite element analysis,
- stochastic modelling,
- modal analysis
How to Cite
Abstract
The present work studies the application of a probabilistic methodology in the sensitivity analysis of a steel column to identify the dominant parameters in its load capacity. Monte Carlo type simulations, in combination with the finite element method, was carried out to achieve the proposed objective. The geometric nonlinearity in the model was considered in order to reflect large deflections and initial geometric imperfections. The results show that the sensitivity of the column to a specific input parameter depends on the slenderness ratio and, hence, the column will be more sensitive to one parameter or another depending on that relationship.
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References
Dudzik A, Radoń U. The evaluation of algorithms for determination of the reliability index. Archives of Civil Engineering. 2015 Sep 1;61(3):133-47.
Groof VD, Oberguggenberger M. Assessing random field models in finite element analysis: a case study. International Journal of Reliability and Safety. 2014;8(2-4):117-34.
Gupta A, Arun CO. Stochastic meshfree method for elastic buckling analysis of columns. Computers & Structures. 2018 Jan 1;194:32-47.
A. Asdrúbal, C. Graciano, O.A. González-Estrada, “Resistencia de vigas esbeltas de acero inoxidable bajo cargas concentradas mediante elementos finitos,” Rev, UIS Ing., vol. 16, no. 2, pp. 61-70, 2017. Doi: https://doi.org/10.18273/revuin.v16n2-2017006.
H. G. Sánchez, J. Uscátegui, S. Gómez, “Metodología para la detección de fallas en una estructura entramada metálica empleando las técnicas de análisis modal y PSO,” Rev. UIS Ing., vol. 16, no. 2, pp. 43-50, 2017. Doi: https://doi.org/10.18273/revuin.v16n2-2017004
ANSYS user’s manual for revision 10. Swanson Analysis, Inc; 2005.
Riks E, An incremental approach to the solution of snapping and buckling problems. International Journal of Solids and Structures 1978;15:529-51.
Ziemian R. D., Guide to stability design criteria for metal structures, Sixth edition. Column research council, John Wiley and Sons, New York;2010.
Shigley J, Mischke C, Standard handbook of machine design. Second edition. McGraw-Hill, New York; 1996.
American Iron and Steel Institute (AISI), Products Manual, New York; 1979.
A. Ramirez-Matheus, M. Díaz-Rodríguez, O. A. González-Estrada, “Estrategia de optimización para la síntesis dimensional de un robot paralelo 5R para una aplicación de mesa de corte,” Rev. UIS Ing., vol. 16, no. 2, pp. 197-206, 2017. Doi: https://doi.org/10.18273/revuin.v16n2-201701
M. Papadrakakis, V. Papadopoulos, Robust and efficient methods for stochastic finite element analysis using Monte Carlo simulation, Comput. Methods Appl. Mech. Engrg. 134 (1996) 325–340.