移動簡諧荷載列作用下簡支梁豎向動力響應的解析解及其應用研究
發(fā)布時間:2019-06-28 09:22
【摘要】:基于移動簡諧荷載列模型,理論推導了簡支梁豎向動力響應的解析表達式;利用該解析式編寫MATLAB程序,對CRH3動車組作用下的高速鐵路32m標準簡支梁進行了豎向共振分析,研究了諧振頻率、荷載列移動速度、體系阻尼比等因素對共振效應的影響。計算結果表明:阻尼比減振效果隨阻尼比的增大而減弱,故結構設計中不宜過度提高阻尼比;在阻尼比為0.02時,諧振頻率引起共振的動力放大系數(shù)超過20,而過橋速度引起的共振動力放大系數(shù)最大僅約為2.5,但考慮到前者對應的荷載幅值僅為后者對應荷載值的0.2,故建議在實際設計中應充分考慮兩種情況下的共振效應。最后通過與已有文獻結果的對比,驗證了該解析推導結果的正確性。本文解析式能夠直接迅速地進行參數(shù)影響分析,為初步設計提供了參考。
[Abstract]:Based on the moving harmonic load series model, the analytical expression of vertical dynamic response of simply supported beams is derived theoretically, and the vertical resonance of 32m standard simply supported beams of high speed railway under the action of CRH3 EMU is analyzed by using MATLAB program, and the effects of resonance frequency, moving speed of load train and damping ratio of system on resonance effect are studied. The results show that the damping ratio weakens with the increase of damping ratio, so it is not appropriate to increase the damping ratio too much in structural design. When the damping ratio is 0.02, the dynamic amplification coefficient of resonance caused by resonance frequency is more than 20, while the maximum resonance dynamic amplification coefficient caused by bridge velocity is only about 2.5. However, considering that the load amplitude of the former is only 0.2 of the corresponding load value of the latter, it is suggested that the resonance effect in the two cases should be fully considered in the actual design. Finally, the correctness of the analytical derivation is verified by comparing with the existing literature results. In this paper, the analytical formula can be used to analyze the influence of parameters directly and quickly, which provides a reference for the preliminary design.
【作者單位】: 西南交通大學土木工程學院;麥吉爾大學土木工程與應用力學系;
【基金】:國家自然科學基金(51378429;51308469) 國家高技術發(fā)展研究“863”計劃(2011AA11A103) 教育部新世紀優(yōu)秀人才支持計劃(NCET-10-0701) 四川省杰出青年學術技術帶頭人計劃(2010JQ0018) 四川省應用基礎研究(2010JY0026) 西南交通大學揚華之星項目
【分類號】:U448.217;U441
[Abstract]:Based on the moving harmonic load series model, the analytical expression of vertical dynamic response of simply supported beams is derived theoretically, and the vertical resonance of 32m standard simply supported beams of high speed railway under the action of CRH3 EMU is analyzed by using MATLAB program, and the effects of resonance frequency, moving speed of load train and damping ratio of system on resonance effect are studied. The results show that the damping ratio weakens with the increase of damping ratio, so it is not appropriate to increase the damping ratio too much in structural design. When the damping ratio is 0.02, the dynamic amplification coefficient of resonance caused by resonance frequency is more than 20, while the maximum resonance dynamic amplification coefficient caused by bridge velocity is only about 2.5. However, considering that the load amplitude of the former is only 0.2 of the corresponding load value of the latter, it is suggested that the resonance effect in the two cases should be fully considered in the actual design. Finally, the correctness of the analytical derivation is verified by comparing with the existing literature results. In this paper, the analytical formula can be used to analyze the influence of parameters directly and quickly, which provides a reference for the preliminary design.
【作者單位】: 西南交通大學土木工程學院;麥吉爾大學土木工程與應用力學系;
【基金】:國家自然科學基金(51378429;51308469) 國家高技術發(fā)展研究“863”計劃(2011AA11A103) 教育部新世紀優(yōu)秀人才支持計劃(NCET-10-0701) 四川省杰出青年學術技術帶頭人計劃(2010JQ0018) 四川省應用基礎研究(2010JY0026) 西南交通大學揚華之星項目
【分類號】:U448.217;U441
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7 郝婷s,
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