Interval sensitivity theory and its application to frequency response envelope analysis of uncertain structures

Computer Methods in Applied Mechanics and Engineering

Volumn 196, Issue 21-24, 2007, Pages 2486-2496

  Moens, David ^a   Vandepitte, Dirk ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Envelope FRF; Interval finite element analysis; Sensitivity analysis

Indexed keywords

FINITE ELEMENT METHOD; FREQUENCY RESPONSE; SENSITIVITY ANALYSIS; UNCERTAINTY ANALYSIS;

ENVELOPE ANALYSIS; GENERAL NUMERICAL INTERVAL ANALYSIS; UNCERTAIN STRUCTURES;

STRUCTURAL ANALYSIS;

FINITE ELEMENT METHOD; FREQUENCY RESPONSE; SENSITIVITY ANALYSIS; STRUCTURAL ANALYSIS; UNCERTAINTY ANALYSIS;

EID: 33947646932     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2007.01.006     Document Type: Article

References (17)

1. Moore R. Interval Analysis (1966), Prentice-Hall, Englewood Cliffs
2. Alefeld G., and Herzberger J. Introduction to Interval Computations (1983), Academic Press, Inc., New York
3. Neumaier A. Interval Methods for Systems of Equations (1990), Cambridge University Press, Cambridge
4. Rao S., and Chen L. Numerical solution of fuzzy linear equations in engineering analysis. Int. J. Numer. Methods Engrg. 43 (1998) 391-408
5. Akpan U., Koko T., Orisamolu I., and Gallant B. Fuzzy finite element analysis of smart structures. Smart Mater. Struct. 10 (2001) 273-284
6. Hanss M., and Willner K. A fuzzy arithmetical approach to the solution of finite element problems with uncertain parameters. Mech. Res. Commun. 27 3 (2000) 257-272
7. Donders S., Vandepitte D., Van de Peer J., and Desmet W. Assessment of uncertainty on structural dynamic responses with the short transformation method. J. Sound Vib. 288 3 (2005) 523-549
8. Qiu Z., and Elishakoff I. Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis. Comput. Methods Appl. Mech. Engrg. 152 (1998) 361-372
9. Dessombz O., Thouverez F., Laîné J., and Jézéquel L. Analysis of mechanical systems using interval computations applied to finite element methods. J. Sound Vib. 239 5 (2001) 949-968
10. Vroman A., Deschrijver G., and Kerre E. A solution for systems of linear fuzzy equations in spite of the non-existence of a field of fuzzy numbers. Int. J. Uncertainty Fuzziness Knowledge-Based Syst. 13 3 (2005) 321-335
11. Mullen R., and Muhanna R. Bounds of structural response for all possible loading combinations. J. Struct. Engrg. 125 1 (1999) 98-106
12. Muhanna R., and Mullen R. Uncertainty in mechanics problems interval-based approach. J. Engrg. Mech. - Asce 127 6 (2001) 557-566
13. Muhanna R., Mullen R., and Zhang H. Penalty-based solution for the interval finite-element methods. J. Engrg. Mech. - Asce 131 10 (2005) 1102-1111
14. Moens D., and Vandepitte D. An interval finite element approach for the calculation of envelope frequency response functions. Int. J. Numer. Methods Engrg. 61 14 (2004) 2480-2507
15. Moens D., and Vandepitte D. A fuzzy finite element procedure for the calculation of uncertain frequency response functions of damped structures: Part 1 - procedure. J. Sound Vib. 288 3 (2005) 431-462
16. De Gersem H., Moens D., and Vandepitte D. A fuzzy finite element procedure for the calculation of uncertain frequency response functions of damped structures: Part 2 - numerical case studies. J. Sound Vib. 288 3 (2005) 463-486
17. Moens D., and Vandepitte D. A survey of non-probabilistic uncertainty treatment in finite element analysis. Comput. Methods Appl. Mech. Engrg. 194 14-16 (2005) 1527-1555