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Structural Engineering and Mechanics
  Volume 27, Number 3, October20 2007 , pages 263-276

Analysis of a cable-stayed bridge with uncertainties in Young?s modulus and load - A fuzzy finite element approach
M. V. Rama Rao and R. Ramesh Reddy

    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.
Key Words
    fuzzy finite element model; multiple uncertainties; structural response; sensitivity.
M. V. Rama Rao: Dept. of Civil Engineering, Vasavi College of Engineering, Hyderabad-500 031, India
R. Ramesh Reddy: Dept. of Civil Engineering, Osmania University College of Engineering, Hyderabad-7, India

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