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Seismic random vibration analysis of shear beams with random structural parameters

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Abstract

The seismic random vibration responses of shear beam structures with uncertainty are investigated. The structural mass and stiffness are considered as random variables. The excitations adopted are stationary or non-stationary random process ground accelerations in horizontal direction. Using the structural random response in frequency domain, the mean square seismic random displacements of shear beam structures are expressed as the function of random structural parameters. Computational expressions for the mean value and standard deviation of structural seismic random response are then developed by means of the random variable’s functional moment method. The effects of the randomness of structural parameters on the structural random responses are demonstrated by an engineering example.

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Authors and Affiliations

  1. Department of Mechatronic Engineering, Xi’an University of Arts and Science, TaiBai South Road 168, Xi’an, 710065, China

    Jun Dai

  2. School of Civil and Environmental Engineering, The University of New South Wales, Sydney, NSW, 2052, Australia

    Wei Gao & Nengguang Liu

  3. School of Electrical, Mechanical and Mechatronic Systems, University of Technology, Sydney, NSW, 2007, Australia

    Nong Zhang

Authors
  1. Jun Dai
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  2. Wei Gao
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  3. Nong Zhang
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  4. Nengguang Liu
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Corresponding author

Correspondence to Wei Gao.

Additional information

This paper was recommended for publication in revised form by Associate Editor Seokhyun Kim

Jun Dai is currently an Associate Professor and the Head of Department of Mechatronic Engineering, Xi’an University of Arts and Science, China. She graduated in Mechanical Engineering from the Xi’an University, China in 1984. She was awarded a Master’s Degree by Xidian University in March, 2000. In 2007, she got the scholarship sponsored by the China Scholarship Council and then worked at the University of Technology, Sydney as a visiting research fellow for one year. Her research interests include structural dynamics and optimization, stochastic finite element analysis, vehicle dynamics and safety assessment.

Wei Gao is currently a lecturer in the School of Civil and Environmental Engineering, The University of New South Wales (UNSW), Sydney, Australia. In 2003, he obtained his PhD from Xidian University, China. In 2004, Dr Gao was appointed as a Vice-Chancellor’s postdoctoral research fellow at The University of New South Wales (UNSW), Australia. From 2007 to 2008, he was employed as a Chancellor’s Postdoctoral Research Fellow in the Faculty of Engineering of the University of Technology, Sydney (UTS) Australia. His research interests include uncertain analysis of structural and mechanical systems, structural dynamics, structural reliability and vehicle-infrastructure interaction dynamics.

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Dai, J., Gao, W., Zhang, N. et al. Seismic random vibration analysis of shear beams with random structural parameters. J Mech Sci Technol 24, 497–504 (2010). https://doi.org/10.1007/s12206-009-1210-x

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  • DOI: https://doi.org/10.1007/s12206-009-1210-x

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