拉索參數(shù)振動及其多場耦合下的非線性振動研究
本文選題:斜拉索 + 參數(shù)振動; 參考:《江蘇大學》2017年碩士論文
【摘要】:斜拉結(jié)構(gòu)作為一種柔性結(jié)構(gòu)具有優(yōu)異的力學性能和空間延展能力,被廣泛的應用于國民的生產(chǎn)、生活中。例如,目前應用非常廣泛的斜拉橋結(jié)構(gòu)、斜拉大跨空間結(jié)構(gòu),以及擬建中的懸浮隧道結(jié)構(gòu)等。斜拉結(jié)構(gòu),一般可視為由三個主要構(gòu)件組成:塔(柱)、斜拉索、懸掛體(懸浮體)。其中塔(柱)一般提供豎向支撐,懸掛體(懸浮體)提供空間延展性,斜拉索將懸掛體(懸浮體)和塔柱連接起來,組成斜拉結(jié)構(gòu)。本文回顧了國內(nèi)外斜拉結(jié)構(gòu)拉索參數(shù)振動的研究現(xiàn)狀,分別介紹了斜拉橋拉索、懸浮隧道錨索、斜拉空間結(jié)構(gòu)拉索及桅桿纖繩等拉索參數(shù)振動的研究進展。相關文獻表明雖然斜拉結(jié)構(gòu)的具體形式有所差異但其發(fā)生參數(shù)振動的機理均相同,均會發(fā)生參數(shù)振動危害。通過對水平拉索的靜力分析,分別建立了拉索靜力作用下忽略物理剛度和考慮物理剛度影響時的初始構(gòu)型。通過算例對忽略物理剛度時的兩種初始構(gòu)型(懸鏈線構(gòu)型、拋物線構(gòu)型)進行了對比分析,討論了拋物線構(gòu)型的適用性,指出在正常工作情況下,使用拋物線構(gòu)型能夠滿足工程精度的需要。繪制了物理剛度影響系數(shù)和垂度變化率的曲線圖,分析了物理剛度對拉索垂度的影響,通過對水平拉索的動力分析,建立了水平拉索考慮物理剛度的自由振動方程,分析了物理剛度對拉索振動頻率的影響,指出在正常工作情況下,物理剛度對于拉索垂度及自振頻率的影響均較小。將拉索的端部激勵視為理想激勵,建立了水平拉索在橫向激勵下的強迫振動方程和軸向激勵下的參數(shù)振動方程?紤]斜拉索端部的參、強耦合激勵,建立了理想激勵下斜拉索參、強耦合振動方程,通過數(shù)值計算分析了斜拉索參數(shù)激勵和參、強耦合激勵下的振動響應。指出,同一斜拉結(jié)構(gòu)中,長索容易被激發(fā)主共振、短索更容易被激發(fā)主參數(shù)共振;受強迫振動的影響短索的主參數(shù)共振激發(fā)時間會提前,長索的主參數(shù)共振時間會推遲。將拉索的端部激勵視為非理想激勵,考慮流場的影響,建立了渦激和參數(shù)激勵下斜拉索-懸浮體的耦合振動模型,分析指出,水體能夠有效削弱錨索的參數(shù)振動,當瞬時參數(shù)振動現(xiàn)象依然不容忽視;錨索對平臺的初始擾動更為敏感;增大平臺阻尼能夠更為有效的消弱錨索的參數(shù)振動;渦激力的存在并不會顯著增大錨索的最大振幅,但會為錨索參數(shù)振動提供初始擾動,同時導致拉索發(fā)生持續(xù)的周期振動。考慮溫度的影響,建立了考慮溫度的斜拉索-懸掛體耦合振動模型,分析了溫度影響下斜拉索的振動響應。指出,溫度對于拉索振動的影響主要體現(xiàn)在對拉索自振頻率和參數(shù)共振激勵頻率上,溫度降低會增大拉索參數(shù)共振的激勵頻率,減小參數(shù)共振區(qū)域?qū)е鹿舱駞^(qū)向后偏移;溫度升高會減小拉索參數(shù)共振的激勵頻率,增大參數(shù)共振區(qū)域?qū)е鹿舱駞^(qū)向前偏移。溫度對于拉索參數(shù)振動幅值的影響較小,可以忽略。
[Abstract]:As a flexible structure, cable-stayed structure has excellent mechanical properties and space extension ability. It is widely used in production and life of Yu Guomin. For example, the cable-stayed bridge structure, the long-span cable-stayed space structure and the proposed suspension tunnel structure are widely used at present. Cable-stayed structures are generally considered to consist of three main components: towers (columns, stay cables, suspensions). The tower (column) generally provides vertical support, the suspension (suspension) provides space ductility, and the stay cable connects the suspension (suspension) and the tower column to form a cable-stayed structure. This paper reviews the research status of cable parametric vibration of cable-stayed structure at home and abroad, and introduces the research progress of cable parameter vibration of cable-stayed bridge, suspension tunnel anchor cable, cable-stayed space structure cable and mast fiber rope respectively. The related literatures show that although the concrete form of cable-stayed structure is different, the mechanism of parametric vibration is the same, and the damage of parametric vibration will occur. Based on the static analysis of horizontal cables, the initial configuration of cables with physical stiffness and physical stiffness is established respectively. Two initial configurations (catenary configuration, parabola configuration) which ignore physical stiffness are compared and analyzed, the applicability of parabola configuration is discussed, and it is pointed out that under normal working conditions, Using parabola configuration can meet the need of engineering precision. The curves of influence coefficient and sag change rate of physical stiffness are drawn, and the influence of physical stiffness on cable sag is analyzed. Through dynamic analysis of horizontal cable, the free vibration equation of horizontal cable considering physical stiffness is established. The effect of physical stiffness on cable vibration frequency is analyzed. It is pointed out that under normal working conditions, physical stiffness has little effect on cable sag and natural vibration frequency. Considering the end excitation of the cable as the ideal excitation, the forced vibration equation of horizontal cable under transverse excitation and the parametric vibration equation under axial excitation are established. Considering the parameter and strong coupling excitation at the end of stay cable, the vibration equations of cable parameter and strong coupling under ideal excitation are established, and the vibration responses of cable parameter excitation and parameter excitation under strong coupling excitation are analyzed by numerical calculation. It is pointed out that in the same cable-stayed structure, the main resonance of the long cable is easily excited, the resonance of the main parameter of the short cable is more easily excited, the excitation time of the resonance of the main parameter of the short cable affected by forced vibration will be advanced, and the resonance time of the main parameter of the long cable will be delayed. Considering the effect of flow field, the coupled vibration model of cable-suspension subjected to vortex excitation and parametric excitation is established. It is pointed out that the water body can effectively weaken the parametric vibration of anchor cable. When the transient parametric vibration phenomenon is still not to be ignored; the cable is more sensitive to the initial disturbance of the platform; increasing the damping of the platform can effectively attenuate the parametric vibration of the anchor cable; the existence of vortex-induced force does not significantly increase the maximum amplitude of the anchor cable. But it can provide initial disturbance for cable parameter vibration and cause continuous periodic vibration of cable. Considering the influence of temperature, the coupled vibration model of cable-suspension with temperature is established, and the vibration response of stay cable under the influence of temperature is analyzed. It is pointed out that the effect of temperature on cable vibration is mainly reflected in the natural vibration frequency and parametric resonance excitation frequency of cable, and the decrease of temperature will increase the excitation frequency of cable parametric resonance, and reduce the parametric resonance region leading to the backward deviation of resonance region. The temperature rise will reduce the excitation frequency of cable parametric resonance, and increase the parametric resonance region leading to the forward deviation of the resonance region. The temperature has little effect on the vibration amplitude of cable parameters and can be neglected.
【學位授予單位】:江蘇大學
【學位級別】:碩士
【學位授予年份】:2017
【分類號】:TU311.3
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