In-plane elastic stability of fixed parabolic shallow arches

查看全文 作　　者：CAI [1]JianGuo;FENG [1]Jian;CHEN [1]Yao;HUANG [1]LiFeng

机构地区：[1]School of Civil Engineering,Southeast University,Nanjing 210096,China

出　　处：《Science China(Technological Sciences)》索引2009年第52卷第3期,共7页

基　　金：Supported by the National Natural Science Foundation of China (Grant No. 50478075);Scientific Research Foundation of Graduate School of Southeast University (Grant No. YBJJ0817) 摘　　要：The nonlinear behavior of fixed parabolic shallow arches subjected to a vertical uniform load is inves- tigated to evaluate the in-plane buckling load. The virtual work principle method is used to establish the non-linear equilibrium and buckling equations. Analytical solutions for the non-linear in-plane sym- metric snap-through and antisymmetric bifurcation buckling loads are obtained. Based on the least square method, an approximation for the symmetric buckling load of fixed parabolic arch is proposed to simplify the solution process. And the relation between modified slenderness and buckling modes are discussed. Comparisons with the results of finite element analysis demonstrate that the solutions are accurate. A cable-arch structure is presented to improve the in-plane stability of parabolic arches. The comparison of buckling loads between cable-arch systems and arches only show that the effect of cables becomes more evident with the increase of arch’s modified slenderness. 关键词：PARABOLIC ARCH elastic stability SHALLOW BIFURCATION SNAP-THROUGH

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In-plane elastic stability of fixed parabolic shallow arches

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