[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/sem.2010.35.5.555

Energy approach for dynamic buckling of shallow fixed arches under step loading with infinite duration

Pi, Yong-Lin (School of Civil and Environmental Engineering, Faculty of Engineering and Information Technology, University of Technology)
Bradford, Mark Andrew (School of Civil and Environmental Engineering, Faculty of Engineering and Information Technology, University of Technology)
Qu, Weilian (Key Laboratory of Roadway Bridge and Structural Engineering, Wuhan University of Technology)

Publication Information

Structural Engineering and Mechanics / v.35, no.5, 2010 , pp. 555-570 More about this Journal

Abstract

Shallow fixed arches have a nonlinear primary equilibrium path with limit points and an unstable postbuckling equilibrium path, and they may also have bifurcation points at which equilibrium bifurcates from the nonlinear primary path to an unstable secondary equilibrium path. When a shallow fixed arch is subjected to a central step load, the load imparts kinetic energy to the arch and causes the arch to oscillate. When the load is sufficiently large, the oscillation of the arch may reach its unstable equilibrium path and the arch experiences an escaping-motion type of dynamic buckling. Nonlinear dynamic buckling of a two degree-of-freedom arch model is used to establish energy criteria for dynamic buckling of the conservative systems that have unstable primary and/or secondary equilibrium paths and then the energy criteria are applied to the dynamic buckling analysis of shallow fixed arches. The energy approach allows the dynamic buckling load to be determined without needing to solve the equations of motion.

Keywords

dynamic buckling; energy conservation; escaping-motion; lower dynamic buckling load; nonlinear equilibrium path; step loading of infinite duration; upper dynamic buckling load;

Citations & Related Records

Times Cited By Web Of Science : 1 (Related Records In Web of Science)
Times Cited By SCOPUS : 4

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Reference

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