【摘要】：頻率法憑借其方便、快速、可重復(fù)測試等特點(diǎn)在工程中得到了廣泛的應(yīng)用。實(shí)際工程中，安裝于拉索上的減振器、減振架、支承架等將拉索分成多跨形成拉索-多個支撐系統(tǒng)，使得索力與頻率之間的對應(yīng)關(guān)系變得十分復(fù)雜，傳統(tǒng)的單跨拉索索力與頻率關(guān)系不再適用。本文根據(jù)支撐的不同形式將該類拉索分成拉索-雙阻尼系統(tǒng)和拉索-中間彈性支撐系統(tǒng)，，分別對他們的索力識別展開研究。 （1）拉索-雙阻尼系統(tǒng)索力識別：結(jié)合工程實(shí)構(gòu)造了由Kelvin模型和標(biāo)準(zhǔn)線性固體模型組合而成的拉索-雙阻尼系統(tǒng)計算模型，并推導(dǎo)了該系統(tǒng)的無量綱復(fù)頻率方程和復(fù)頻率近似表達(dá)式；根據(jù)復(fù)頻率的精確及近似解對拉索系統(tǒng)的模態(tài)阻尼及頻率比進(jìn)行參數(shù)分析，并依據(jù)頻率比推得可以用于頻率法的索力-頻率迭代關(guān)系。 （2）基于動力剛度法的拉索-中間彈性支撐系統(tǒng)索力計算：基于動力剛度法建立拉索頻率與索力之間的關(guān)系，通過引入無量綱參數(shù)，分析中間彈性支撐對索力計算的具體影響，并根據(jù)動力剛度法頻率求解的本質(zhì)提出一種已知頻率計算索力的方法。 （3）基于振型的復(fù)雜邊界條件拉索索力估算：通過模態(tài)測試找出拉索相鄰支撐之間的兩個振型駐點(diǎn)，將駐點(diǎn)之間索段視為兩端鉸接的等效模型，根據(jù)等效模型索力-頻率關(guān)系計算等效索力，并將等效索力近似作為原索索力。通過誤差分析證明，只要合理建立等效模型便可忽略原索邊界條件的影響。
[Abstract]:Frequency method has been widely used in engineering because of its convenience, speed and repeatability. In practical engineering, the shock absorbers, vibration absorbers and supports installed on the cables are divided into multiple spans to form a cable support system, which makes the relationship between the cable force and the frequency become very complicated. The traditional single-span cable force and frequency relationship is no longer applicable. In this paper, according to the different forms of bracing, the cables are divided into cable-double damping system and cable-intermediate elastic bracing system. Their cable force identification is studied respectively. (1) Cable force identification of cable-double damped system: combined with engineering reality, a calculation model of cable-double damping system, which is composed of Kelvin model and standard linear solid model, is constructed. The dimensionless complex frequency equation and the approximate expression of complex frequency are derived, and the modal damping and frequency ratio of cable system are analyzed according to the exact and approximate solution of complex frequency. According to the frequency ratio, the relationship between cable force and frequency iteration can be obtained. (2) calculation of cable force based on dynamic stiffness method: the relationship between cable frequency and cable force is established based on dynamic stiffness method. By introducing dimensionless parameters, the concrete influence of intermediate elastic bracing on the calculation of cable force is analyzed. According to the nature of the frequency solution of dynamic stiffness method, a method of calculating cable force with known frequency is proposed. (3) complex boundary conditions based on vibration mode to estimate cable force: through modal test to find out between adjacent braces of cable Two stop points of the two modes of the The cable segment between the stationary points is regarded as an equivalent model with two ends hinged. The equivalent cable force is calculated according to the relationship between the cable force and the frequency of the equivalent model, and the equivalent cable force is approximated as the original cable force. It is proved by error analysis that the influence of the original cable boundary condition can be neglected if the equivalent model is established reasonably.
【學(xué)位授予單位】：湖南大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2014
【分類號】：U446

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