Research Article

Dynamic analysis of framed structures with statistical uncertainties

  1. Sondipon Adhikari†*,
  2. C. S. Manohar

Article first published online: 15 FEB 1999

DOI: 10.1002/(SICI)1097-0207(19990320)44:8<1157::AID-NME549>3.0.CO;2-5

Issue

International Journal for Numerical Methods in Engineering

International Journal for Numerical Methods in Engineering

Volume 44, Issue 8, pages 1157–1178, 20 March 1999

Additional Information

How to Cite

Adhikari, S. and Manohar, C. S. (1999), Dynamic analysis of framed structures with statistical uncertainties. Int. J. Numer. Meth. Engng., 44: 1157–1178. doi: 10.1002/(SICI)1097-0207(19990320)44:8<1157::AID-NME549>3.0.CO;2-5

Author Information

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

  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.

Publication History

  1. Issue published online: 15 FEB 1999
  2. Article first published online: 15 FEB 1999
  3. Manuscript Revised: 18 MAR 1998
  4. Manuscript Received: 7 MAR 1997

Funded by

  • Department of Science and Technology, Government of India

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Keywords:

  • dynamic stiffness;
  • stochastic finite element method;
  • random frames;
  • random matrices;
  • frequency response function

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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