Lateral stability of parabolic double-rib arch with auxiliary arch under directional loads(PDF)
长安大学学报(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]
- Issue:
- 2016年06期
- Page:
- 48-55
- Research Field:
- 桥梁与隧道工程
- Publishing date:
Info
- Title:
- Lateral stability of parabolic double-rib arch with auxiliary arch under directional loads
- Author(s):
- YANG Yu-hou; LIU Lai-jun; HAO Tian-zhi
- 1. School of Highway, Changan University, Xi’an 710064, Shaanxi, China; 2. Guangxi Transportation Research Institute, Nanning 530007, Guangxi, China
- Keywords:
- bridge engineering; parabolic double-rib arch; auxiliary arch; lateral buckling; critical load; principle of minimum potential energy
- PACS:
- U448.222
- DOI:
- -
- Abstract:
- As the accuracy of using arc to replace parabola was poor, hyperbolic cosine function curve was introduced into the analytical calculation of parabolic arch lateral buckling. It was proved that the curve of hyperbolic cosine function was better than circular curve. Based on the principle of minimum potential energy, an analytical formula for calculating parabola parallel double rib arch lateral buckling with associate arch was proposed using hyperbolic cosine function curve to replace parabola, and considering the effect of auxiliary arch. Subsequently, correctness of the proposed formula was verified by finite element numerical example. Finally, effects of parameters on critical load of lateral buckling were discussed through the calculation formula. The results show that the maximum difference between formula and finite element analysis is not more than 3.62%. The formula has a very high engineering precision. The critical load of lateral buckling has a greater error with circular arc approximation instead of parabola in the case of large rise-span ratio, with its maximum error being 10.47%. It is better to use hyperbolic cosine function curve to replace the parabola. The bending stiffness of auxiliary arch in plane of arch cutting and the intersecting position of main-auxiliary arch is not the key factor relative to bending stiffness of transverse brace in arch tangent plane, number of transverse braces, distance between the two arch ribs and rise-span ratio. The calculation method proposed in this paper is simple and accurate, and provides a useful guidance for engineering preliminary design and a reference for reasonable setting of parameters.
Last Update: 2016-12-02