Stability and Response Bounds for Structures Under Dynamic Loads



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.


Transverse Load Initial Deflection Torsional Buckling Response Bound Shallow Arch 
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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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© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of Civil and Environmental EngineeringVirginia Polytechnic Institute and State University (Virginia Tech)BlacksburgUSA

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