A new buckling theory for curved beams of solid cross sections derived from rigid body and force equilibrium considerations
學年 102
學期 1
出版(發表)日期 2014-01-27
作品名稱 A new buckling theory for curved beams of solid cross sections derived from rigid body and force equilibrium considerations
作品名稱(其他語言)
著者 Yang, Y.B.; Kuo, S.R.; Yau, J.D.
單位 淡江大學建築學系
出版者 Abingdon: Taylor & Francis
著錄名稱、卷期、頁數 The IES Journal Part A: Civil & Structural Engineering 7(2), pp.63-72
摘要 A new method is proposed for deriving the instability potential of initially stressed curved beams based on the rigid body and equilibrium considerations using the updated Lagrangian formulation. Starting from the rigid body rule, the virtual instability potential was derived for a spatially curved beam under real rigid displacements. Next, utilising the equilibrium equations for the boundary forces at the C1 and C2 states, another virtual instability potential was derived for the curved beam under virtual rigid displacements. Comparing the two potentials yields the one in total form for the curved beam. The present approach requires only simple integrations and analogical comparison of related virtual works, thereby avoiding the physically unclear, complicated derivations involved in previous procedures. Based on the first principles of rigid body rule and equilibrium, the derived potential energy is more concise than the conventional approach that requires the consideration of six stress components in the formulation. As an illustration, the present theory was successfully adopted in the buckling analysis of helical curved beams under radial loads.
關鍵字 curved beam;instability potential;rigid body rule;stability
語言 en
ISSN 1937-3279
期刊性質 國外
收錄於 EI
產學合作
通訊作者 Yang, Y.B.
審稿制度
國別 GBR
公開徵稿
出版型式 ,電子版,紙本
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