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전단변형 및 회전관성을 고려한 현수교의 수직 자유진동해석
김남일(Nam Il Kim),노범준(Bum Jun Rho),이병주(Byoung Ju Lee),김문영(Moon Young Kim) 한국강구조학회 1997 韓國鋼構造學會誌 Vol.9 No.3
In the companion paper, vertical equation of motions considering the effects of the shear deformation and the rotary inertia had been presented based on Abdel-Ghaffar`s vertical vibration theory and natural frequences and mode shapes of 3 span hinged suspension bridges are analytically derived. In this paper, two finite element formulations considering the effects of the shear deformation and the rotary inertia are presented in order to investigate dynamic characteristics of suspension bridges. At first, the shear-flexible bridge element considering combined effects of the main cable and the stiffening girder is developed based on Abdel-Ghaffar`s vertical vibration theory. Secondly, both main cables and hangers of the suspension bridge by the truss element, and the truss stiffening girders by the truss element or the equivalent beam element are modeled and vertical free vibration analysis is performed. Through numerical examples. the natural frequences obtained from two modling analysis are compared with analytic solutions. Resultantly, the validity and accuracy of the present vibration analysis taking into account combined effects of main cables and shear-flexible stiffening girders are demonstrated.
윤희택(Hee Taek Yoon),노범준(Bum Jun Rho),김문영(Moon Young Kim) 한국강구조학회 1997 韓國鋼構造學會誌 Vol.9 No.3
In the previous papers, both analytic solutions and finite element solutions considering the effects of the shear deformation and the rotary inertia had been presented in order to evaluate natural frequences and mode shapes of suspension bridges. In this study, by including the geometric non-linear term of main cables, the non-linear vibration theory taking into account combined effects of main cables and shear-flexible stiffening girders are presented and solved by using the suspension bridge element. For variation of the vehicle velocity, the static and dynamic behaviors of 3 span hinged suspension bridges subjected to the moving load are investigated.