Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Fuzzy dynamic structural analysis of two-dimensional frame

  • Stemberk, Petr (Faculty of Civil Engineering, Czech Technical University) ;
  • Kruis, Jaroslav (Faculty of Civil Engineering, Czech Technical University)
  • Received : 2005.10.10
  • Accepted : 2006.08.22
  • Published : 2007.01.30
⟨ Previous Next ⟩

Abstract

In this paper, a dynamic analysis based on the fuzzy set theory is presented as a possible complementary tool to the classical stochastic methods for dynamic analyses. Material parameters of a structure are influenced by uncertainties and therefore they are considered to be fuzzy quantities with given distributions, that means fuzzy numbers with given membership functions. The fuzzy dynamic analysis is conducted with help of fuzzy arithmetic defined on the so-called ${\alpha}$-cuts. The results of the analysis are also obtained in the form of fuzzy numbers, which compared to the stochastic methods is less computationaly expensive while at the same time they still provide information about the distribution of a quantity. This method is demonstrated on an analysis of a two-dimensional frame subjected to possible seismic load, where the uncertain eigenmodes and eigenfrequencies are used in the modal analysis.

Keywords

Acknowledgement

Supported by : Czech Science Foundation

References

  1. Akpan, U.O., Koko, T.S., Orisamolu, LR. and Gallant, B.K. (2001), 'Practical fuzzy fmite element analysis of structures', Finite Elements in Analysis and Design, 38, 93-111 https://doi.org/10.1016/S0168-874X(01)00052-X
  2. Bathe, KJ. (1996), Finite Element Procedures, Prentice-Hall, Inc
  3. Bittnar, Z. and Sejnoha, J. (1996), Numerical Methods in Structural Mechanics, ASCE Press
  4. Bucher, C.G and Chen, Y.M. and Schueler, G.I. (1988), 'Time variant reliability analysis utilizing response surface approach', Reliability and Optimization ofStructural Systems'88, Eds. P. Thoft-Christensen
  5. Buckley, J.J. and Qu, Y. (1991), 'Solving systems of linear fuzzy equations', Fuzzy Sets and Systems, 39, 33-43
  6. Clough, RW. and Penzien, J (1993), Dynamics of Structures, McGraw-Hill, Inc. New York, 2nd edition
  7. Fischer, T., Alvarez, M., De la Llera, J,C. and Riddell, R (2002), 'An integrated model for earthquake risk assessment of buildings', Eng. Struct., 24, 979-998 https://doi.org/10.1016/S0141-0296(02)00018-4
  8. Kaufman, A. and Gupta, M.M. (1985), Introduction to Fuzzy Arithmetic: Theory and Application, Van Nostrand Reinhold Company, Inc., New York
  9. Moens, D. and Vandepitte, D. (2005), 'A fuzzy finite element procedure for the calculation of uncertain frequency-response functions of damped structures: Part 1 - Procedures', J Sound Vib., 288, 431-462 https://doi.org/10.1016/j.jsv.2005.07.001
  10. De Gersem, H., Moens, D., Desmet, W. and Vandepitte, D. (2005), '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, 463-486 https://doi.org/10.1016/j.jsv.2005.07.002
  11. Rajashekhar, M.R. and Ellingwood, B.R (1993), 'A new look at the response surface approach for reliability analysis', Structural Safety, 12,205-220 https://doi.org/10.1016/0167-4730(93)90003-J
  12. Valliappan, S. and Pham, J.D. (1993), 'Construction the membership function of a fuzzy set with objective and subjective information', Microcomputers in Civil Engrg., 8, 75-82 https://doi.org/10.1111/j.1467-8667.1993.tb00194.x
  13. Zadeh, L.A. (1965), 'Fuzzy sets', Information Control, 8(3), 338-352 https://doi.org/10.1016/S0019-9958(65)90241-X

Cited by

  1. Climber-Inspired Fuzzy Logic Approach to Crack Localization Using Image Analysis vol.13, pp.2, 2015, https://doi.org/10.3151/jact.13.103
  2. Time-variant structural fuzzy reliability analysis under stochastic loads applied several times vol.55, pp.3, 2015, https://doi.org/10.12989/sem.2015.55.3.525
  3. Fuzzy modeling of combined effect of winter road maintenance and cyclic loading on concrete slab bridge vol.62-63, 2013, https://doi.org/10.1016/j.advengsoft.2013.04.008
  4. Material Study of a Short Seismic Link in a Dissipative Structure of a Vertical Industrial Boiler vol.623, pp.1662-7482, 2014, https://doi.org/10.4028/www.scientific.net/AMM.623.10