STUDY ON DYNAMIC RESPONSE OF U-SHAPE BEAMS IN CONSIDERATION OF SHEAR LAG EFFECT
GAN Ya-nan ;ZHOU Guang-chun
1.School of Civil Engineering and Architecture, Henan Polytechnic University, Jiaozuo 454010,China;2. School of Civil Engineering and Architecture, Harbin Institute of Technology, Harbin 150090,China
Abstract:Abstract: Based on the analysis methods of box girders about shear lag effect, and a new warping displacement mode of the U-shaped beams is chosen to meet the axial self-equilibrium condition for corresponding stress,three generalized displacement functions , , are employed in analyzing dynamic response of the U-shaped beam in consideration of shear lag effect by calculus of variations, the differential equations and the corresponding natural boundary conditions of the U-shaped beam are induced based on the minimum potential principle, according to the fundamental differential equations and the corresponding natural boundary conditions, the dynamic characteristics of U-shaped beams are discussed. The calculation examples compare the finite element solutions with the analytical solutions and verify the validity of the proposed approach, the formulas obtained in this study develop the shear lag theory.
甘亚南;周广春 . 槽形梁动力反应分析的能量变分法[J]. , 2010, 29(11): 195-198.
GAN Ya-nan;ZHOU Guang-chun . STUDY ON DYNAMIC RESPONSE OF U-SHAPE BEAMS IN CONSIDERATION OF SHEAR LAG EFFECT . , 2010, 29(11): 195-198.