Dynamic Analysis of Structures with Interval Parameters under Stochastic Process Excitation

Abstract:

This paper presents the interval dynamic analysis of structures with uncertain-but-bounded parameters under stochastic process excitations. Structural natural frequencies and mean square values of structural random responses are not deterministic values but intervals. The interval problems are converted to optimization problems. Mathematical models are developed to find the bounds of interval natural frequencies and mean square displacements. An improved particle swarm optimization algorithm, namely lower sequence initialized high-order nonlinear particle swarm optimization algorithm, is employed to capture the exact bounds of structural dynamic characteristics and random vibration responses. Numerical example is used to demonstrate the presented method. Quasi-Monte Carlo simulations are also implemented to validate the change ranges of structural natural frequencies and mean square displacements produced by the proposed method.

• Periodical: Applied Mechanics and Materials (Volume 553)
• Pages: 699-704
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.553.699
• Online since: May 2014
• Authors: Duy Minh Do*, Wei Gao, Cheng Wei Yang, Chong Ming Song
• Keywords: Interval Analysis, Optimization, Random Excitation, Random Responses

References

[1] R. E. Moore (1966), Interval Analysis. Prentice-Hall, Englewood Cliffs, N.J., 1966. Science , 158, p.365.

DOI: 10.1126/science.158.3799.365

[2] W. Gao (2007), Random seismic response analysis of truss structures with uncertain parameters. Engineering Structures, 29, pp.1487-1498.

DOI: 10.1016/j.engstruct.2006.08.025

[3] D. Moens, D. Vandepitte (2001), Envelope frequency response function calculation of uncertain structures. Proceedings on Noise and Vibration Engineering, 1 - 3, pp.395-402.

[4] Z. P. Qiu, X. J. Wang, M. I. Friswell (2005), Eigenvalue bounds of structures with uncertain-but-bounded parameters. Journal of Sound and Vibration, 282, pp.297-312.

DOI: 10.1016/j.jsv.2004.02.051

[5] J. Kennedy, R. Eberhart (1995), Particle swarm optimization, Proceedings, IEEE International Conference on Neural Networks.

[6] E. Elbeltagi, T. Hegazy, D. Grierson (2005), Comparison among five evolutionary-based optimization algorithms. Advanced Engineering Informatics, 19, pp.43-53.

DOI: 10.1016/j.aei.2005.01.004

[7] Y.K. Lin, Y. Yong (1987), Evolutionary Kanai-Tajimi Type Earthquake Models. Stochastic Approaches in Earthquake Engineering. Y. K. Lin and R. Minai, Springer Berlin Heidelberg, 32, pp.174-203.

DOI: 10.1007/978-3-642-83252-9_11

[8] N. Liu, W. Gao, C. Song, N. Zhang, Y.L. Pi (2013), Interval dynamic response analysis of vehicle-bridge interaction system with uncertainty. Journal of Sound and Vibration, 332, pp.3218-3231.

DOI: 10.1016/j.jsv.2013.01.025