Lateral Buckling of Cantilevered Circular Arches Under Various End Moments-Reference-Cited by-同舟云学术

Lateral Buckling of Cantilevered Circular Arches Under Various End Moments

Published:2020-07 Issue:07 Volume:20 Page:2071005
ISSN:0219-4554
Container-title:International Journal of Structural Stability and Dynamics
language:en
Short-container-title:Int. J. Str. Stab. Dyn.

Author:

Yang Y. B.¹²³,Liu Y. Z.¹³

Affiliation:

1. School of Civil Engineering, Chongqing University, Chongqing 400045, P. R. China

2. Department of Construction Engineering, National Yunlin University of Science and Technology, Yunlin, Taiwan, P. R. China

3. MOE Key Laboratory of New Technology for Construction of Cities in Mountain Area, Chongqing University, P. R. China

Abstract

Lateral buckling of cantilevered circular arches under various end moments is studied using an analytical approach. Three types of conservative moments are considered, i.e. the quasi-tangential moments of the 1st and 2nd kinds, and the semi-tangential moment. The induced moments associated with each of the moment mechanisms undergoing three-dimensional rotations are included in the Newman boundary conditions. Using the differential equations available for the out-of-plane buckling of curved beams, the analytical solutions are derived for a cantilevered circular arch, which can be used as the benchmarks for calibration of other methods of analysis.

Funder

National Natural Science Foundation of China

Chongqing Municipal Natural Science Foundation

Science and Technology Research Program of China State Railway Group Co., Ltd.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Building and Construction,Civil and Structural Engineering

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219455420710054

Reference8 articles.

1. On large displacement-small strain analysis of structures with rotational degrees of freedom

2. On large displacement-small strain analysis of structures with rotational degrees of freedom

3. Out-of-plane buckling of angled frames

4. Buckling of Frames under Various Torsional Loadings

5. Theory of Elastic Stability, Second Edition

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