Study on Simplified Calculation of First-order Longitudinal Vibration Period for Fixed Hinge Cable-stayed Bridges

ZHANG Wenxue, KOU Wenqi, CHEN Ying, WANG Zhen


The simplified calculation of the first-order longitudinal vibration period for a cable-stayed bridge is very important for the comparison of design plans and the evaluation of seismic performance. Firstly, according to the longitudinal seismic inertia force transmission of cable-stayed bridges, the double-mass model derived by flexibility method was developed to simplify the calculation of the first-order longitudinal vibration. Based on significant coupling between the longitudinal modes and vertical modes, the simplified calculation of the first-order longitudinal vibration period was then investigated by energy principle in fixed hinge cable-stayed bridges. Finally, the two formulas were evaluated by the tests on ten built-up bridges. It is concluded that these two simplified formulas were in good agreement with those predicated by finite element method. The proposed double-mass model has higher accuracy and reliability.



Keywords: fixed hinge system,  cable stayed bridges,  the first-order longitudinal vibration period,  double-mass model, flexibility method,  energy principles

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