Ritz method of the analysis of lateral buckling for leaning-type arch bridge
Received:November 24, 2011  Revised:May 20, 2012
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DOI:10.7511/jslx201301014
KeyWord:Leaning-type arch bridge  lateral buckling  critical load coefficient  Ritz method  hinged boundary condition
              
AuthorInstitution
刘爱荣 广州大学 土木工程学院,广州 ;广州大学-淡江大学 工程结构灾害与控制联合研究中心,广州
汪荷玲 广州大学 土木工程学院,广州
禹奇才 广州大学 土木工程学院,广州
张俊平 广州大学 土木工程学院,广州
申富林 广东省公路勘察规划设计院股份有限公司,广州
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Abstract:
      Based on Ritz method,the calculation formula of the critical load coefficient about leaning-type arch bridge has been first derived under the hinged boundary condition at the main arch ribs springers and clamped boundary condition at the stable arch ribs.And compared it with the result obtained from FEM,it is verified that the formula presented in this paper is accurate.Furthermore,those effect factors are analyzed,such as the bending deformation energy and torsional deformation energy of the stable arch ribs,the tangential the radial bending deformation energy of transverse braces,the potential energy of non-directional load of hangers and the bending deformation energy of bridge deck on the critical load coefficient λcr of leaning-type arch bridge.It is shown from the research results that:The bending deformation energy of the stable arch ribs have some influence on the critical load coefficient λcr while the torsional deformation energy have little influence on it; If the tangential the radial bending deformation energy of transverse braces are ignored,the critical load coefficient λcr will decrease by approximately 65% to 83%,so the transverse brace between the main arch rib and stable arch rib have significant impact on the critical load coefficient λcr; The leaning-type arch bridge's critical load coefficient λcr increases effectively with the increasing of stable arch rib's inclined angle,and adding the stability of arch rib is a great help for the lateral stability of leaning-type arch bridge.