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作 者:周文鑫 周叮[1] 张建东[1] 刘朵 ZHOU Wenxin;ZHOU Ding;ZHANG Jiandong;LIU Duo(College of Civil Engineering,Nanjing Tech University,Nanjing 211816,China;JSTI Group,Nanjing 211112,China)
机构地区:[1]南京工业大学土木工程学院,南京211816 [2]苏交科集团股份有限公司,南京211112
出 处:《振动与冲击》2021年第16期111-117,182,共8页Journal of Vibration and Shock
基 金:国家自然科学基金(51778288);江苏省自然科学基金(BK20180151);江苏省交通厅重大专项课题(2014Y01)。
摘 要:研究多跨高墩变截面梁桥的自由振动特性。计算主梁截面等效面积和等效惯性矩,将桥墩简化成弹性支承,基于Euler-Bernoulli梁理论建立了一个带有多个弹性支承的多跨高墩桥梁分析模型。将弹性支承反力看作是梁上的未知外力,计算主梁固有频率及振型,计算结果与有限元结果具有很好的一致性。分析了主梁截面变化率与桥墩高度对主梁固有频率以及振型的影响,研究结果可为多跨高墩变截面梁桥的合理设计提供参考。The free vibration characteristics of a multi-span high-pier bridge with variable cross-sections were studied.The equivalent cross-sectional area and moment of inertia of the variable section beam were calculated,and the piers were simplified as elastic supports.Based on the Euler-Bernoulli beam theory,an analysis model of multi-span high-pier bridge with several elastic supports was established.The reaction forces of the elastic supports were regarded as unknown external forces on the beam,and the natural frequencies and mode shapes of the beam were calculated.The calculation results were in good agreement with the finite element results.Finally,the influence of the change rate of the beam cross-section,the height of the pier on natural frequencies and mode shapes of the beam were analyzed.The results provide a scientific reference for the design of multi-span high-pier variable-section bridges.
关 键 词:多跨高墩 变截面 EULER-BERNOULLI梁 弹性支承 动力特性
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