本文選題：懸索橋 + 顫振分析　； 參考：《中南大學(xué)》2014年碩士論文

【摘要】：懸索橋是各類橋梁中跨越能力最大的一種橋型。隨著跨度的不斷增加,懸索橋越來越柔,對風的作用越來越敏感,因而在懸索橋的設(shè)計中,抗風問題往往是最重要的控制因素,其中顫振穩(wěn)定性問題最為突出,必須在初步設(shè)計階段就給予認真考慮和妥善解決。然而,顫振穩(wěn)定性分析是一個十分復(fù)雜的過程,手動調(diào)整設(shè)計方案以滿足顫振穩(wěn)定性要求只能試算,計算量大且過程繁雜,使設(shè)計人員陷入反復(fù)計算,無法深入理解氣動彈性性能與橋梁設(shè)計變量之間的關(guān)系。因此引入現(xiàn)代優(yōu)化設(shè)計理論進行自動優(yōu)化設(shè)計顯得十分必要且有顯著優(yōu)勢。 本文在總結(jié)前人研究成果的基礎(chǔ)上,試圖將優(yōu)化方法運用到懸索橋設(shè)計中,使得該橋型方案設(shè)計時更加快速、理性,設(shè)計成果更優(yōu)。本文所做主要工作： (1)回顧并總結(jié)了懸索橋的結(jié)構(gòu)特點及顫振穩(wěn)定性分析方法,為優(yōu)化模型的約束條件計算提供依據(jù)。 (2)基于ANSYS,編制了懸索橋全模態(tài)顫振頻域分析程序,采用黃金分割優(yōu)化方法進行顫振臨界風速搜索,大大提高了計算效率。 (3)基于本文優(yōu)化問題特點及遺傳算法優(yōu)勢,編制了遺傳算法FORTRAN程序,并用算例驗證了程序的可靠性。 (4)針對懸索橋優(yōu)化算例,基于APDL語言建立ANSYS空間有限元模型,進行靜力分析、模態(tài)分析及顫振臨界風速搜索,以加勁梁尺寸及主纜尺寸為設(shè)計變量,以顫振臨界風速及靜力撓度為約束條件,以造價最低為目標,根據(jù)罰函數(shù)思想轉(zhuǎn)換為適應(yīng)度函數(shù)建立了兩種優(yōu)化數(shù)學(xué)模型。 (5)采用FORTRAN與ANSYS混合編程技術(shù)編制了優(yōu)化總控程序,實現(xiàn)了自動優(yōu)化計算。 (6)通過實例計算并對優(yōu)化前后的設(shè)計變量、約束條件及目標函數(shù)值進行對比,驗證了本文優(yōu)化設(shè)計方法的有效性和優(yōu)化設(shè)計變量選擇的靈活性。圖22幅,表8個,參考文獻61篇
[Abstract]:Suspension bridge is one kind of bridge with the largest span capacity among all kinds of bridges. With the increasing span, the suspension bridge becomes more flexible and more sensitive to the wind. Therefore, in the design of the suspension bridge, the wind-resistant problem is often the most important control factor, among which the flutter stability problem is the most prominent. It must be carefully considered and properly resolved at the preliminary design stage. However, flutter stability analysis is a very complex process. Manual adjustment of the design scheme to meet the flutter stability requirements can only be calculated. The relationship between Aeroelastic performance and bridge design variables is not fully understood. Therefore, the introduction of modern optimal design theory for automatic optimization design is very necessary and has significant advantages. On the basis of summarizing the previous research results, this paper attempts to apply the optimization method to the suspension bridge design to make the bridge design faster, more rational and better. The main work of this paper is as follows: 1) the structural characteristics and flutter stability analysis method of suspension bridge are reviewed and summarized, which provides the basis for the calculation of constraint conditions of the optimization model. Based on ANSYS, a full-mode flutter frequency analysis program for suspension bridge is developed. The golden section optimization method is used to search the critical flutter velocity, which greatly improves the calculation efficiency. 3) based on the characteristics of the optimization problem and the advantages of genetic algorithm in this paper, a genetic algorithm (FORTRAN) program is developed, and the reliability of the program is verified by an example. In view of the optimization example of suspension bridge, the finite element model of ANSYS space is established based on APDL language. Static analysis, modal analysis and flutter critical wind speed search are carried out. The dimensions of stiffened beam and main cable are taken as design variables. Taking the critical wind speed and static deflection of flutter as the constraint conditions and taking the lowest cost as the target, two kinds of optimal mathematical models are established according to the idea of penalty function converted into fitness function. 5) the optimization control program is programmed by using the mixed programming technology of FORTRAN and ANSYS, and the automatic optimization calculation is realized. 6) the effectiveness of the optimization design method and the flexibility of the selection of the optimal design variables are verified by comparing the design variables, constraints and objective function values before and after optimization. 22 figures, 8 tables, 61 references
【學(xué)位授予單位】：中南大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2014
【分類號】：U448.25

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本文編號：1829124