In-Plane Elastic Buckling of Shallow Parabolic Arches under an External Load and Temperature Changes
Publication: Journal of Structural Engineering
Volume 138, Issue 11
Abstract
This paper studies the in-plane stability of rotationally restrained shallow arches subjected to a vertical uniform load and temperature changes below 100°C. The virtual work principle method was used to establish the nonlinear equilibrium and buckling equations. Analytical solutions for the nonlinear in-plane symmetric snap-through and asymmetric bifurcation critical loads are obtained. Then the effects of the uniform temperature field and temperature gradients on the in-plane stability for arches are studied. The influence of temperature variations on the critical loads for both the symmetric snap-through and asymmetric bifurcation modes was significant. The critical loads increase with an increase of the uniform temperature field and a decrease of temperature gradients. Furthermore, the effect of temperature changes on the critical load increases with the span-rise ratio of arches. Increasing the stiffness of the rotational springs will increase the effect of the uniform temperature field but reduce the effect of the temperature gradients.
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Acknowledgments
This work was supported by the National Natural Science Foundation of China (Grant Nos. 50478075 and 50908044), Jiangsu “Six Top Talents” Program (Grant No. 07-F-008), Jiangsu Natural Science Foundation of China (Grant No. BK2006104), and the Scientific Research Foundation of the Graduate School of Southeast University (Grant No. YBJJ0817). We also thank the anonymous reviewers for their valuable comments and thoughtful suggestions that improved the quality of the presented work.
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Published In
Journal of Structural Engineering
Volume 138 • Issue 11 • November 2012
Pages: 1300 - 1309
Copyright
© 2012 American Society of Civil Engineers.
History
Received: Dec 29, 2010
Accepted: Jan 30, 2012
Published online: Feb 1, 2012
Published in print: Nov 1, 2012
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