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Dynamic Analysis of Framed Structures with Statistical Uncertainties

Adhikari, Sondipon and Manohar, CS (1999) Dynamic Analysis of Framed Structures with Statistical Uncertainties. In: International Journal for Numerical Methods in Engineering, 44 (8). pp. 1157-1178.

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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.

Item Type: Journal Article
Publication: International Journal for Numerical Methods in Engineering
Publisher: John Wiley and Sons
Additional Information: Copyright of this article belongs to John Wiley and Sons.
Keywords: dynamic stiffness;stochastic finite element method;random frames;random matrices;frequency response function
Department/Centre: Division of Mechanical Sciences > Civil Engineering
Date Deposited: 14 Feb 2006
Last Modified: 29 Feb 2012 06:25
URI: http://eprints.iisc.ac.in/id/eprint/5339

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