Structural Engineering and Mechanics

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Analysis of a cable-stayed bridge with uncertainties in Young's modulus and load - A fuzzy finite element approach

  • Rama Rao, M.V. (Department of Civil Engineering, Vasavi College of Engineering) ;
  • Ramesh Reddy, R. (Department of Civil Engineering, Osmania University College of Engineering)
  • Received : 2006.06.23
  • Accepted : 2007.04.06
  • Published : 2007.10.20
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Abstract

This paper presents a fuzzy finite element model for the analysis of structures in the presence of multiple uncertainties. A new methodology to evaluate the cumulative effect of multiple uncertainties on structural response is developed in the present work. This is done by modifying Muhanna's approach for handling single uncertainty. Uncertainty in load and material properties is defined by triangular membership functions with equal spread about the crisp value. Structural response is obtained in terms of fuzzy interval displacements and rotations. The results are further post-processed to obtain interval values of bending moment, shear force and axial forces. Membership functions are constructed to depict the uncertainty in structural response. Sensitivity analysis is performed to evaluate the relative sensitivity of displacements and forces to uncertainty in structural parameters. The present work demonstrates the effectiveness of fuzzy finite element model in establishing sharp bounds to the uncertain structural response in the presence of multiple uncertainties.

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References

  1. Akpan, D.O., Koko, T.S., Orisamolu, I.R. and Gallant, B.K. (2001), 'Practical fuzzy finite element analysis of structures', Finite. Elem. Anal. Des., 38, 93-111. (Elsevier Publishing) https://doi.org/10.1016/S0168-874X(01)00052-X
  2. Jansson, C. (1991), 'Interval linear systems with symmetric matrices, skew-symmetric matrices, and dependencies in the right hand side', Computing, 46, 265-274 https://doi.org/10.1007/BF02238302
  3. Koyluoglu, H.U., Cakmak, A.S. and Nielsen, S.R.K. (1995), 'Interval algebra to deal with pattern loading and structural uncertainty', J. Eng. Mech., ASCE, 121(11), 1149-1157 https://doi.org/10.1061/(ASCE)0733-9399(1995)121:11(1149)
  4. Koyluoglu, H.U. and Elishakoff, I. (1998), 'A comparison of stochastic and interval finite elements applied to shear frames with uncertain stiffness properties', Comput. Struct., 67(1-3), 91-98 https://doi.org/10.1016/S0045-7949(97)00160-0
  5. Muhanna, R.L. and Mullen, R.L. (1999), 'Formulation of fuzzy finite element methods for solid mechanics problems', Comput. Aided Civil Infrastructure Eng., 14, 107-117 https://doi.org/10.1111/0885-9507.00134
  6. Muhanna, R.L. and Mullen, R.L. (2001), 'Uncertainty in mechanics problems - interval based approach', J. Eng. Mech., ASCE, 127(6), 557-566 https://doi.org/10.1061/(ASCE)0733-9399(2001)127:6(557)
  7. Mullen, R.L. and Muhanna, R.L. (1999), 'Bounds of structural response for all possible loading combinations', J. Struct. Eng., ASCE, 125(1), 98-106 https://doi.org/10.1061/(ASCE)0733-9445(1999)125:1(98)
  8. Rama Rao, M.V. and Ramesh Reddy, R. (2003), 'Fuzzy finite element analysis of a cable- stayed bridge', 8th Int. Conf. on Innovations in Planning, Design and Construction Techniques in Bridge Engineering, Hyderabad, India
  9. Rao, S.S. and Sawyer, P. (1995), 'Fuzzy finite element approach for analysis of imprecisely defined systems', AIAA J., 33(12), 2364-2370 https://doi.org/10.2514/3.12910
  10. Rao, S.S. and Berke, L. (1997), 'Analysis of uncertain structural systems using interval analysis', AIAA J., 35(4), 727-735 https://doi.org/10.2514/2.164
  11. Rao, S.S. and Li Chen (1998), 'Numerical solution of fuzzy linear equations in engineering analysis', Int. J. Numer. Meth. Eng., 43, 391-408 https://doi.org/10.1002/(SICI)1097-0207(19981015)43:3<391::AID-NME417>3.0.CO;2-J
  12. Walther, Rene (1988), 'Cable Stayed Bridges', Thomas Telford, London

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