Abstract
This paper uses an interval and fuzzy finite element approach for the eigenfrequency analysis of a mechanical structure with uncertain parameters. The component mode synthesis method is applied for the numerical reduction of the structure, in order to reduce the calculation time of the interval and fuzzy analyses. Special attention is paid to the effect of uncertainties on the description of the substructuring technique and the consequences on the calculation time. All concepts are illustrated through a benchmark structure example.
References
[1] RR Craig, M.C.C. Bampton. Coupling of substructures for dynamic analyses. AIAA Journal, 6(7): 1313- 1319, 1968.
[2] RR Craig, Jr. Structural Dynamics: An Introduction to Computer Methods. John Wiley & Sons, Inc., New York, first edn., 1981.
[3] RR Craig, Jr. A review of time-domain and frequency-domain component mode synthesis methods. Journal of Modal Analysis, 2(2): 59-72, 1987.
[4] H. De Gersem, D. Moens, W. Desmet, D. Vandepitte. A fuzzy finite element procedure for the calculation of uncertain frequency response functions of damped structures: Part 2 - numerical case studies. Journal of Sound and Vibration, 288(3) : 463-486, 2005.
[5] H. De Gersem, D. Moens, W. Desmet, D. Vandepitte. Interval finite element analysis of large structures with uncertain parameters. In: Proceedings of the third M.I.T. Conference on Computational Fluid and Solid Mechanics, 179-183. Cambridge, 2005.
[2] RR Craig, Jr. Structural Dynamics: An Introduction to Computer Methods. John Wiley & Sons, Inc., New York, first edn., 1981.
[3] RR Craig, Jr. A review of time-domain and frequency-domain component mode synthesis methods. Journal of Modal Analysis, 2(2): 59-72, 1987.
[4] H. De Gersem, D. Moens, W. Desmet, D. Vandepitte. A fuzzy finite element procedure for the calculation of uncertain frequency response functions of damped structures: Part 2 - numerical case studies. Journal of Sound and Vibration, 288(3) : 463-486, 2005.
[5] H. De Gersem, D. Moens, W. Desmet, D. Vandepitte. Interval finite element analysis of large structures with uncertain parameters. In: Proceedings of the third M.I.T. Conference on Computational Fluid and Solid Mechanics, 179-183. Cambridge, 2005.
