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Dynamic analysis of framed structures with statistical uncertainties

Authors

  • Sondipon Adhikari,

    Corresponding author
    1. Department of Civil Engineering, Indian Institute of Science, Bangalore 560 012, India
    Current affiliation:
    1. Department of Engineering, University of Cambridge, Trumpington Street, Cambridge CB2 1PZ, U.K.
    • Department of Engineering, University of Cambridge, Trumpington Street, Cambridge CB2 1PZ, U.K.
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  • C. S. Manohar

    1. Department of Civil Engineering, Indian Institute of Science, Bangalore 560 012, India
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Abstract

The forced harmonic vibration analysis of portal frames consisting of viscously damped beams with spatial stochastic variation of mass and stiffness properties is considered. The analysis is based on the assembly of element stochastic dynamic stiffness matrices. The solution involves inversion of the global dynamic stiffness matrix, which, in this case, turns out to be a complex-valued symmetric random matrix. Three alternative approximate procedures, namely, random eigenfunction expansion method, complex Neumann expansion method and combined analytical and simulation method are used to invert the matrix. The performance of these approximate procedures is evaluated using Monte Carlo simulation results. Copyright © 1999 John Wiley & Sons, Ltd.

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