本文關(guān)鍵詞：CFRP斜拉索模態(tài)耦合內(nèi)共振特性　出處：《中國公路學(xué)報》2017年07期 　論文類型：期刊論文

  更多相關(guān)文章： 橋梁工程 CFRP拉索 數(shù)值方法 振動模型 模態(tài)耦合 內(nèi)共振

【摘要】：為研究CFRP拉索模態(tài)耦合內(nèi)共振特性,建立了反映拉索面內(nèi)、外1階模態(tài)耦合作用的二自由度振動模型,該模型考慮了索的垂度、大位移等引起的幾何非線性。利用該模型,采用數(shù)值方法分析了相同條件下的CFRP拉索和鋼拉索在純平面和非平面荷載作用下的內(nèi)共振響應(yīng),并研究了外激勵幅值、阻尼比、初始擾動等對內(nèi)共振的影響。研究結(jié)果表明,當(dāng)拉索的面內(nèi)、外頻率滿足共振條件時,拉索同時發(fā)生荷載作用面內(nèi)的主共振和面內(nèi)、外的內(nèi)共振;隨著外激勵幅值的增大,2種拉索面內(nèi)、外最大位移增大,當(dāng)外激勵幅值小于一定值時,2種拉索不能發(fā)生內(nèi)共振;隨著阻尼比的增大,拉索發(fā)生內(nèi)共振時的最大和穩(wěn)態(tài)振幅呈現(xiàn)減小的趨勢,當(dāng)阻尼比分別增大到一定程度時,2種拉索不能發(fā)生內(nèi)共振;隨著初始擾動的增大,拉索的面內(nèi)、外最大振幅和穩(wěn)態(tài)振幅基本保持不變,但能量從面內(nèi)傳遞到面外所用的時間變短;在運動過程中,CFRP索拍頻明顯高于鋼索,其由瞬態(tài)振動進入到穩(wěn)態(tài)運動的時間均早于鋼索,而最大振幅和穩(wěn)態(tài)振幅小于鋼索。
[Abstract]:In order to study the internal resonance characteristics of CFRP cable mode coupling, a two-degree-of-freedom vibration model reflecting the in-plane and outer first-order modal coupling action of the cable is established, which takes into account the sag of the cable. By using this model, the internal resonance responses of CFRP cables and steel cables under pure and non-plane loads under the same conditions are analyzed numerically. The effects of external excitation amplitude, damping ratio and initial disturbance on the internal resonance are studied. The results show that the external frequency satisfies the resonance condition when the cable is in the plane. At the same time, the main resonance in the plane and the internal resonance in the plane and out of the plane occur at the same time. With the increase of the amplitude of external excitation, the maximum displacement of two kinds of cables increases. When the amplitude of external excitation is less than a certain value, the internal resonance of the two kinds of cables can not occur. With the increase of damping ratio, the maximum and steady-state amplitudes of the cables show a decreasing tendency when the internal resonance occurs, and when the damping ratio increases to a certain extent, two kinds of cables can not have internal resonance. With the increase of initial disturbance, the maximum amplitude and steady-state amplitude of cable remain basically unchanged, but the time of energy transfer from in-plane to off-plane becomes shorter. The beat frequency of CFRP cable is obviously higher than that of steel cable in the course of motion, and the time from transient vibration to steady state motion is earlier than that of steel cable, while the maximum amplitude and steady amplitude are smaller than that of steel cable.
【作者單位】： 長安大學(xué)公路學(xué)院;諸暨市交通勘察設(shè)計室;
【基金】：國家自然科學(xué)基金項目(50908016)
【分類號】：U441.3
【正文快照】： 0引言在多自由度的空間動力系統(tǒng)中,當(dāng)拉索的面內(nèi)1階模態(tài)和面外1階模態(tài)接近或相等時,拉索可能發(fā)生強烈的“自耦合”內(nèi)共振現(xiàn)象,它的實質(zhì)是拉索面內(nèi)(外)運動對面外(內(nèi))運動具有激勵作用。斜拉索的動力特性介于標(biāo)準(zhǔn)弦與大垂度索之間,更傾向于標(biāo)準(zhǔn)弦的非線性特性,對斜拉索的研究,

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