發(fā)布時間：2018-06-19 23:10

  本文選題：橋梁工程 + 縱向階自振周期　； 參考：《中國公路學(xué)報》2017年07期

【摘要】：針對現(xiàn)有漂浮體系和塔梁鉸接體系斜拉橋縱向1階自振周期簡化計算中均忽略雙向振動耦合效應(yīng)影響的狀況,采用Rayleigh能量法對這2種體系斜拉橋的縱向1階自振周期簡化計算公式進行了推導(dǎo)。首先,以斜拉橋在地震作用下縱向水平慣性力的傳遞路徑為依據(jù),分別建立了漂浮體系和塔梁鉸接體系斜拉橋的簡化計算模型;其次,考慮斜拉橋縱向1階振型呈現(xiàn)出縱向振動與豎向振動相互耦合的特點,基于假定的漂浮體系、塔梁鉸接體系斜拉橋主梁和主塔的縱向、豎向位移振動方程,分別對2種體系斜拉橋斜拉索、主塔、主梁的變形能及動能進行了分析和計算;最后,根據(jù)能量守恒原理推導(dǎo)了漂浮體系斜拉橋和塔梁鉸接體系斜拉橋的縱向1階自振周期簡化計算公式。選取5座已建斜拉橋利用有限元軟件進行1階縱向模態(tài)分析,將理論推導(dǎo)結(jié)果與有限元計算值進行了對比。結(jié)果表明:所提出的簡化公式的計算結(jié)果與有限元計算值吻合良好,相對誤差均小于15%,簡化計算方法具有良好的穩(wěn)定性,可用于斜拉橋縱向1階自振周期的估算;將漂浮體系斜拉橋縱向1階自振周期簡化計算公式與塔梁鉸接體系斜拉橋縱向1階自振周期簡化計算公式配合使用,可為斜拉橋初步設(shè)計和方案比選提供參考。
[Abstract]:In view of the fact that the coupling effect of bidirectional vibration is neglected in the simplified calculation of longitudinal first order natural vibration period of existing floating system and tower girder hinged cable-stayed bridge, The Rayleigh energy method is used to deduce the simplified formulas for calculating the longitudinal first order natural vibration period of these two cable-stayed bridges. Firstly, based on the transmission path of longitudinal horizontal inertial force of cable-stayed bridge under seismic action, the simplified calculation models of floating system and pylon girder hinge system cable-stayed bridge are established respectively. Considering that the longitudinal first order vibration of cable-stayed bridge presents the characteristics of the coupling of longitudinal vibration and vertical vibration, the longitudinal and vertical displacement vibration equations of the main beam and main tower of cable-stayed bridge with hinged tower and floating system are considered. The deformation energy and kinetic energy of two kinds of cable-stayed bridges are analyzed and calculated. Based on the principle of conservation of energy, a simplified formula for calculating the longitudinal first order natural vibration period of cable-stayed bridge with floating system and cable stayed bridge with hinged tower beam is derived. Five existing cable-stayed bridges were selected to carry out the first-order longitudinal modal analysis using finite element software, and the theoretical results were compared with the finite element calculation results. The results show that the calculated results of the simplified formula are in good agreement with the calculated values of the finite element method, and the relative errors are less than 15. The simplified calculation method has good stability and can be used to estimate the longitudinal first order natural vibration period of cable-stayed bridge. The simplified calculation formula of longitudinal first order natural vibration period of cable-stayed bridge with floating system is combined with the simplified formula of longitudinal first order natural vibration period of cable-stayed bridge with tower girder, which can provide a reference for the preliminary design and scheme selection of cable-stayed bridge.
【作者單位】： 北京工業(yè)大學(xué)建筑工程學(xué)院;
【基金】：國家自然科學(xué)基金項目(51378034,E080505) 北京市自然科學(xué)基金項目(8122007)
【分類號】：U441.3;U448.27

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本文編號：2041744