本文選題：纜索體系　切入點(diǎn)：索力識(shí)別方法　出處：《華南理工大學(xué)》2015年博士論文

【摘要】：隨著一系列纜索減振方法的應(yīng)用,索結(jié)構(gòu)的邊界條件愈發(fā)復(fù)雜,給其內(nèi)力的識(shí)別增加了難度,傳統(tǒng)的方法在應(yīng)用于復(fù)雜邊界條件時(shí),將帶來(lái)難以估計(jì)的誤差,因此對(duì)復(fù)雜邊界條件下拉索結(jié)構(gòu)的內(nèi)力識(shí)別方法進(jìn)行研究勢(shì)在必行。本文結(jié)合大跨纜索承重體系橋梁索力識(shí)別中的難點(diǎn)問(wèn)題,對(duì)兩端固支、中間彈性多支承、帶減振架等復(fù)雜邊界條件下索結(jié)構(gòu)的內(nèi)力識(shí)別方法進(jìn)行了深入系統(tǒng)的研究,主要完成了以下工作:(1)基于拉索橫向振動(dòng)方程通解,推導(dǎo)出了可用于多種邊界條件的索桿內(nèi)力計(jì)算的統(tǒng)一實(shí)用公式,該公式只需在弦理論索力計(jì)算公式的基礎(chǔ)上乘以修正系數(shù)nK,且可采用多階頻率進(jìn)行索力計(jì)算。具有形式簡(jiǎn)潔、精度高、誤差可預(yù)知性、可顯式計(jì)算拉索截面抗彎剛度等優(yōu)點(diǎn),工程應(yīng)用簡(jiǎn)便且精度可靠。(2)結(jié)合動(dòng)態(tài)剛度矩陣法的思想,選擇隨頻率變化的動(dòng)態(tài)單元位移模式,推導(dǎo)了單元?jiǎng)偠染仃嚭唾|(zhì)量矩陣,構(gòu)造了用于索力識(shí)別的精確動(dòng)態(tài)梁?jiǎn)卧?編制了基于該單元的拉索內(nèi)力識(shí)別程序。通過(guò)與常規(guī)梁?jiǎn)卧膶?duì)比可知,本文提出的索力識(shí)別方法具有精度高、計(jì)算耗時(shí)少等明顯優(yōu)勢(shì)。(3)基于能量變分原理,采用本文提出的精確動(dòng)態(tài)梁?jiǎn)卧?提出了多彈性支承拉索索力的有限元計(jì)算方法。該方法可以充分考慮各種復(fù)雜邊界條件的影響,突破了既有方法只能計(jì)算簡(jiǎn)支或固支邊界條件的局限性,可考慮減震器的減振剛度、轉(zhuǎn)向塊、護(hù)筒(護(hù)套)的作用及多點(diǎn)彈性支承邊界的影響。室內(nèi)試驗(yàn)和實(shí)際工程測(cè)試結(jié)果均表明該方法具有較高的精度。(4)采用穩(wěn)定函數(shù)作為單元的橫向位移插值函數(shù),構(gòu)造了一種空間兩節(jié)點(diǎn)梁?jiǎn)卧?并提出了減振架剛度和質(zhì)量的等效方法,通過(guò)等效處理,既簡(jiǎn)化了帶減振架吊索系統(tǒng)的有限元模型,又如實(shí)反映了系統(tǒng)內(nèi)各構(gòu)件之間的相互作用,確保了索力識(shí)別的精度。最后編制了相應(yīng)的內(nèi)力識(shí)別程序。通過(guò)對(duì)兩座大跨度懸索橋?qū)嶋H工程的吊索索力進(jìn)行實(shí)測(cè),結(jié)果表明本文方法精度高且實(shí)用性強(qiáng)。(5)從懸索微段的力學(xué)平衡原理出發(fā),通過(guò)求解單元的平衡微分方程得到了單元?jiǎng)偠染仃嚨慕馕霰磉_(dá)式,構(gòu)造了一種可用于懸索找形的精確懸鏈線單元,提出了以“形”找“力”的新方法,編制了相應(yīng)的吊索內(nèi)力識(shí)別程序,可對(duì)所有吊索的內(nèi)力一次性識(shí)別。算例驗(yàn)證結(jié)果表明與常規(guī)頻率法相比,本文方法更高效,可實(shí)現(xiàn)主纜線形與吊索索力的同步監(jiān)測(cè)。
[Abstract]:With the application of a series of cable damping methods, the boundary conditions of cable structures become more and more complex, which makes it more difficult to identify the internal forces. The traditional methods will bring inestimable errors when they are applied to complex boundary conditions. Therefore, it is imperative to study the identification method of internal force of cable structure with complex boundary conditions. In this paper, combined with the difficult problems in the identification of cable force of long-span cable bearing system bridge, the two ends are fixed, and the middle elastic multi-support is used. The identification method of internal force of cable structure with vibration absorber and other complex boundary conditions is studied systematically. The following work is accomplished: 1) based on the general solution of cable lateral vibration equation, A unified and practical formula for calculating the internal force of cable rod with various boundary conditions is derived. The formula only needs to be multiplied by the modified coefficient nK on the basis of the formula of cable force calculation in string theory, and the calculation of cable force can be carried out with multi-order frequency. The formula is simple in form. It has the advantages of high precision, predictable error, explicit calculation of bending stiffness of cable section, and so on. It is simple in engineering application and reliable in accuracy. Combined with the idea of dynamic stiffness matrix method, the dynamic element displacement mode varying with frequency is selected. The stiffness matrix and mass matrix of the element are derived, the precise dynamic beam element for cable force identification is constructed, and the program of cable internal force identification based on the element is developed. The cable force identification method presented in this paper has obvious advantages such as high precision, less calculation time, etc.) based on the energy variational principle, the precise dynamic beam element proposed in this paper is adopted. A finite element method for the calculation of cable forces with multiple elastic supports is presented. The method can fully consider the influence of various complex boundary conditions and breaks through the limitations of the existing methods which can only calculate simply supported or fixed supported boundary conditions. May consider the shock absorber's vibration absorption stiffness, the steering block, The effect of sheathing (sheathing) and the influence of multi-point elastic support boundary. The results of indoor test and practical engineering test show that the method has a high precision. The stability function is used as the lateral displacement interpolation function of the element. A kind of spatial two-node beam element is constructed, and the equivalent method of stiffness and mass of vibration absorber is put forward. By equivalent treatment, the finite element model of suspension system with damping frame is simplified. It also reflects the interaction among the components of the system and ensures the accuracy of cable force identification. Finally, a corresponding internal force identification program is worked out. The actual cable force of two long-span suspension bridges is measured. The results show that the method is accurate and practical. (5) based on the mechanical equilibrium principle of the micro segment of the suspension cable, the analytical expression of the element stiffness matrix is obtained by solving the equilibrium differential equation of the element. An accurate catenary element for finding the shape of suspension cable is constructed. A new method of finding "force" by "shape" is proposed, and a corresponding program for identifying the internal force of sling is developed. The numerical results show that the proposed method is more efficient than the conventional frequency method and can realize the synchronous monitoring of the main cable shape and the cable force.
【學(xué)位授予單位】：華南理工大學(xué)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2015
【分類號(hào)】：U446

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本文編號(hào)：1654502