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Global Analysis of Nonlinear Dynamics pp 175–187Cite as

Stability and Response Bounds for Structures Under Dynamic Loads

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Abstract

This chapter contains a review of some previous work by the author and others. Continuous elastic structures subjected to dynamic loads are considered. Results are obtained with the use of Liapunov (Lyapunov) functionals. For cases in which the stability of an equilibrium configuration is of interest, Liapunov’s direct (second) method is applied. For cases in which the structure is in motion due to dynamic loads (e.g., transient loads), bounds on the response are presented.

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Acknowledgments

The author is extremely grateful to Professor C. S. Hsu for being a wonderful Ph.D. advisor. Professor Hsu was an inspirational teacher and mentor, and has been a friend for the past 45 years. The author also acknowledges the assistance of Benjamin Z. Dymond in the preparation of this chapter.

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Authors and Affiliations

  1. Department of Civil and Environmental Engineering, Virginia Polytechnic Institute and State University (Virginia Tech), Blacksburg, VA, 24061, USA

    Raymond H. Plaut

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  1. Raymond H. Plaut
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Correspondence to Raymond H. Plaut .

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Editors and Affiliations

  1. School of Engineering, University of California, Merced, N. Lake Road 5200, Merced, 95344, California, USA

    Jian-Qiao Sun

  2. Edwardsville, School of Engineering, Southern Illinois University, Room: EB20, Edwardsville, 62025, USA

    Albert C. J. Luo

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Plaut, R.H. (2012). Stability and Response Bounds for Structures Under Dynamic Loads. In: Sun, JQ., Luo, A. (eds) Global Analysis of Nonlinear Dynamics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3128-2_8

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  • DOI: https://doi.org/10.1007/978-1-4614-3128-2_8

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-3127-5

  • Online ISBN: 978-1-4614-3128-2

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