Simplified Calculation of First-order Longitudinal Natural Vibration Period of Cable-stayed Bridges Based on Energy Method

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China Journal of Highway and Transport ›› 2017, Vol. 30 ›› Issue (7) : 50-57.

ZHANG Wen-xue, KOU Wen-qi, CHEN Ying, DU Xiu-li

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Abstract

In the simplified calculation of first-order longitudinal natural vibration period of cable-stayed bridges with the floating and tower-girder hinge system, the influence of bidirectional vibration coupling effect was neglected. Taking the situation into consideration, simplified formulas for calculating the first-order longitudinal natural vibration period of two kinds of cable-stayed bridges were derived by the Rayleigh energy method. Firstly, simplified calculation models of cable-stayed bridges with the floating and tower-girder hinge system were established respectively, on the basis of the transmission path of longitudinal inertial force under the action of earthquake. Secondly, in the light of assumed longitudinal and vertical displacement vibration equations of main girder and tower of cable-stayed bridges with floating and tower-girder hinge system, the deformation energy and kinetic energy of cables, main girder and tower of two kinds of cable-stayed bridges were analyzed and calculated respectively, considering the intercoupling between the longitudinal and the vertical modes. Finally, simplified formulas of first-order longitudinal natural vibration period for cable-stayed bridges with the floating and tower-girder hinge system were derived by energy conservation principle. The first-order longitudinal modal of five built-up bridges were analyzed by dint of the finite element software. Then theoretical results were compared with values calculated by the finite element method. The results show that results calculated by simplified formulas are in good agreement with values calculated by the finite element method. And the relative errors are less than 15%. The simplified calculation method with good stability can be used to estimate the first-order longitudinal natural vibration period. It provides a reference for preliminary design and scheme comparison of cable-stayed bridges by combing the simplified formulas for calculating the first-order longitudinal natural vibration period of cable-stayed bridges with floating system with ones with tower-girder hinge system.

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bridge engineering / first-order longitudinal natural vibration period / energy principle / floating system / tower-girder hinge system

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ZHANG Wen-xue, KOU Wen-qi, CHEN Ying, DU Xiu-li. Simplified Calculation of First-order Longitudinal Natural Vibration Period of Cable-stayed Bridges Based on Energy Method[J]. China Journal of Highway and Transport, 2017, 30(7): 50-57

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Received	Published
2016-07-15	2017-07-20
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2017-07-22

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