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阻尼器對斜拉橋索力估算影響的研究

發(fā)布時間:2022-01-03 07:35
  對于斜拉橋而言,拉索是最關(guān)鍵的承載構(gòu)件之一。然而,由于拉索自身固有阻尼很小,其在受風(fēng)荷載等作用下經(jīng)常產(chǎn)生大幅振動,嚴(yán)重影響拉索的安全與壽命。因此,許多拉索都安裝了不同類型的阻尼器,以減少拉索的振動。為了掌握拉索的運行安全狀態(tài),需要對拉索索力進行準(zhǔn)確的估計。由于安裝的阻尼器改變了拉索結(jié)構(gòu)的動力特性,不可避免地會影響拉索索力估算的結(jié)果。但是,目前對安裝的阻尼器如何影響索力估算精度的研究還很少。在本研究中,我們將系統(tǒng)地研究安裝阻尼器對拉索索力識別精度的影響。本文考慮了兩種類型的拉索動力模型。在第一個模型中,拉索被模擬為沒有下垂的張緊弦模型;在第二個模型中,考慮拉索重力下垂對其動力特性的影響。為了提高有阻尼拉索動力特性計算的效率,在sin形函數(shù)的基礎(chǔ)上,增加了受阻尼單元荷載作用的拉索靜態(tài)變形的形狀函數(shù),使組合后的振型可以更好地逼近拉索-阻尼組合系統(tǒng)實際模態(tài)振型。采用伽遼金法對系統(tǒng)的固有頻率進行了分析。還考慮了兩種類型的阻尼器模型。在第一個模型中,用一個簡單的彈簧和粘性阻尼器模型來模擬阻尼器。在第二個模型中,采用非線性模型對阻尼器進行建模。采用線性化技術(shù),對非線性阻尼模型的索-阻尼系統(tǒng)的固有頻率... 

【文章來源】:哈爾濱工業(yè)大學(xué)黑龍江省 211工程院校 985工程院校

【文章頁數(shù)】:81 頁

【學(xué)位級別】:碩士

【文章目錄】:
摘要
Abstract
Chapter1 Introduction
    1.1 Research Background
    1.2 The Source of Topic
        1.2.1 Types of Cable Tension Estimation Methods
    1.3 Potential Problems
    1.4 Overview of Thesis
Chapter2 Literature Review
    2.1 Background
    2.2 Vibration Based Cable Tension Estimation Methods
        2.2.1 Vibration Based Cable Tension Estimation Method Neglecting Both Sag and Bending Stiffness
        2.2.2 Vibration Based Cable Tension Estimation Method Considering Sag and Neglecting Bending Stiffness
        2.2.3 Vibration Based Cable Tension Estimation Method Considering Bending Stiffness and Neglecting Sag
        2.2.4 Vibration Based Cable Tension Estimation Method Considering Both Sag and Bending Stiffness
    2.3 Practical Formulation
    2.4 Empirical Formulation for Cable Tension Estimation
        2.4.1 Effect of Sag on Cable Fundamental Frequency
        2.4.2 Effects of Bending Stiffness of Cables
        2.4.3 Empirical Formulas
    2.5 Summary
Chapter3 Effects of Dampers on Cable Tension Estimation Using Taut String Model
    3.1 Introduction
    3.2 Motion Equation of Cable
    3.3 Galerkin Approach
        3.3.1 Deriving a Dynamic Equation of System
        3.3.2 Extension of System Equations
    3.4 Solve Cable’s Differential Equation using Galerkin Method
    3.5 Control Oriented Model Development
    3.6 Formulation of Mass Matrix
    3.7 Formulation of Stiffness Matrix
    3.8 Linearization of Nonlinear System
    3.9 Parametric Study
        3.9.1 Natural Frequency against Location of damper
        3.9.2 Natural Frequency against Damper’s Stiffness Coefficient
        3.9.3 Natural Frequency against damper’s Coefficient
        3.9.4 Cable Tension Approximation against Damper’s Location
        3.9.5 Cable Tension Approximation against Damper’s Stiffness
        3.9.6 Cable Tension Approximation against Damper’s Coefficient
    3.10 Summary
Chapter4 Effects of Dampers on Cable Tension Estimation of Cables with Sag..
    4.1 Introduction
    4.2 Motion Equation of Cable
    4.3 Solve Cable’s Differential Equation using Galerkin Method
    4.4 Shape Functions
    4.5 Formulation of Mass Matrix
    4.6 Formulation of Stiffness Matrix
    4.7 Linearization of Nonlinear System
    4.8 Parametric Study
        4.8.1 Natural Frequency against Location of damper
        4.8.2 Natural Frequency against Damper’s Stiffness Coefficient
        4.8.3 Natural Frequency against damper’s Coefficient
        4.8.4 Cable Tension Estimation against Damper’s Location
        4.8.5 Cable Tension Estimation against Damper’s Stiffness Coefficient
        4.8.6 Cable Tension Estimation against Damper’s Coefficient
    4.9 Summary
Conclusion
References
Acknowledgement
Resume


【參考文獻】:
期刊論文
[1]考慮垂度及抗彎剛度影響的斜拉橋索力測試[J]. 吳霄,肖汝誠.  華中科技大學(xué)學(xué)報(自然科學(xué)版). 2014(03)
[2]基于振動理論的索力求解的一個實用計算公式[J]. 甘泉,王榮輝,饒瑞.  力學(xué)學(xué)報. 2010(05)
[3]索結(jié)構(gòu)中拉索張力測量的原理與方法[J]. 陳魯,張其林,吳明兒.  工業(yè)建筑. 2006(S1)



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