本文選題：絞纜的多層級結(jié)構(gòu) + 力學性能分析�。� 參考：《蘭州大學》2017年博士論文

【摘要】：股線和線纜結(jié)構(gòu)在眾多工程領(lǐng)域應用廣泛,基于其內(nèi)部復雜的相互接觸力學行為和幾何上的分級分層結(jié)構(gòu)使得絞纜具有一些豐富而優(yōu)越的力學特性。圍繞現(xiàn)代高新技術(shù)和大科學工程關(guān)聯(lián)的超大型超導磁體中的CICC多級線纜結(jié)構(gòu)的應用,針對股線和線纜的多級復雜結(jié)構(gòu)有效性質(zhì)和力學行為預測等基礎(chǔ)力學問題,本論文進行了較為系統(tǒng)的理論建模和數(shù)值分析,探討了股線和多級線纜結(jié)構(gòu)性能和外載荷下結(jié)構(gòu)的力學行為,進而揭示股線間局部接觸等效應對結(jié)構(gòu)整體性能的影響規(guī)律等,為優(yōu)化線纜的設(shè)計提供理論支持和參考。論文主要進行了以下幾個方面的研究工作:首先,針對線纜結(jié)構(gòu)的基本組成單元——單根復合股線的基本力學屬性和多場有效性能預測開展了研究。單根股線一般為多相復合材料,基于細觀力學的理論方法,提出了股線復合材料在力、熱、電磁多場復雜環(huán)境中有效性質(zhì)的廣義Mori-Tanaka方法,給出了相應的等效性質(zhì)預測公式。進一步建立了纖維夾雜復合材料結(jié)構(gòu)的有限元數(shù)值模型,采用Comsol有限元軟件進行求解并給出預測結(jié)果。結(jié)果表明:所建立的廣義Mori-Tanaka模型可以較好地預測復合股線的力學、熱學和電磁學等有效特性,并獲得不同夾雜相體積分數(shù)下的有效性能依賴關(guān)系,理論模型預測結(jié)果和有限元結(jié)果吻合良好。其次,圍繞多根股線螺旋絞扭而成的一級絞纜結(jié)構(gòu),考慮股線間局部接觸變形和接觸摩擦等效應,開展了絞纜力學性能與行為分析研究。針對該一級絞纜(1×3)結(jié)構(gòu)的復雜非線性力學方程的求解,提出了分步加載的力學分析方法,逐次考慮局部接觸變形和摩擦效應的影響并獲得絞纜和各個股線力學響應的解析解答;文中所建模型和結(jié)果可適應于股線螺旋角(從55o到90o)的更大范圍。在此基礎(chǔ)上,本文詳細分析并獲得了螺旋股線間的摩擦力分布特征,以及接觸摩擦對股線性能和整體絞纜行為的影響;獲得了不同螺旋角下股線間接觸和摩擦對絞纜結(jié)構(gòu)軸向拉伸和扭轉(zhuǎn)變形下的等效剛度、內(nèi)力分量等的影響特征。結(jié)果表明:股線間局部接觸變形和摩擦均會對絞纜力學性能產(chǎn)生影響,接觸變形對絞纜結(jié)構(gòu)整體力學性能的影響更為顯著。為了驗證理論模型與解析結(jié)果的可靠性,將相關(guān)結(jié)果與ABAQUS有限元數(shù)值模擬的結(jié)果進行了對比,二者吻合良好,特別是在股線螺旋角較大變化范圍內(nèi),均能給出較好預測結(jié)果。再次,針對一級絞纜結(jié)構(gòu)通過螺旋絞扭而成的復雜二級絞纜結(jié)構(gòu)(3×3),考慮其局部接觸變形,并對此進行力學行為分析與研究。在二級絞纜結(jié)構(gòu)中兩種不同的接觸形式,忽略股線間接觸摩擦效的情形下,建立了二級絞纜結(jié)構(gòu)力學行為分析的兩級等效模型。結(jié)合二級絞纜內(nèi)部不同接觸形式,提出了二級絞纜內(nèi)部接觸和接觸變形的計算方法,詳細分析了接觸變形對絞纜整體變形的影響,并獲得絞纜各層級中的應變以及內(nèi)力分布的解析表達。模型不僅從理論上解釋了二級絞纜各局部接觸變形對絞纜結(jié)構(gòu)的影響原理,并且定量分析了接觸變形對二級絞纜力學性能的影響。結(jié)果表明:絞纜內(nèi)部子纜的局部接觸變形,對小螺旋角下絞纜的整體力學性能和股線內(nèi)力均有著顯著的影響,是影響絞纜力學性能的重要因素。該模型可退化為已有文獻中不考慮接觸變形的傳統(tǒng)模型,在較大螺旋角的情形下兩者預測結(jié)果相近。最后,圍繞具有多層級復雜幾何特征的多級絞纜(3N)結(jié)構(gòu),本文提出了一種分析多層級線纜力學性能的分(跨)級分析模型,實現(xiàn)了對多級絞纜結(jié)構(gòu)力學性能的理論分析。在忽略股線泊松效應和線纜內(nèi)部接觸變形的假設(shè)前提下,基于對各層級中心線位移和變形的逐級遞推關(guān)系,建立了從最低層級股線變形到最高級層絞纜變形之間的聯(lián)系。在小變形條件下,根據(jù)變形前后股線的截面主軸坐標架的旋轉(zhuǎn)關(guān)系,獲得了股線上任意點處的應變解析表達式,從理論上建立了股線應變和各級絞纜變形的嚴格依賴關(guān)系;進一步通過解析逐級遞推,我們可得到絞纜各級中心線的變形情況,通過等效方法得到了線纜在變形時的整體力和扭矩等基本力學特征與響應。該多級絞纜結(jié)構(gòu)的一般分析方法用于退化后的一級股線結(jié)構(gòu)二級絞纜結(jié)構(gòu)(3×3),分析并給出了結(jié)構(gòu)有效性質(zhì)并和力學響應,結(jié)果吻合良好,驗證了該多級結(jié)構(gòu)分析方法的有效性。
[Abstract]:The strands and cable structures are widely used in many engineering fields. Based on their internal complex contact mechanical behavior and geometric hierarchical structure, the cable has some rich and superior mechanical properties. The structure of CICC multistage cable in superlarge superconducting magnets associated with modern high technology and large scientific engineering In this paper, a systematic theoretical modeling and numerical analysis are carried out to discuss the structural properties of the strands and multistage cables and the mechanical behavior of the structures under external loads. In order to provide theoretical support and reference for optimizing the design of cable, the main research work in the following aspects is carried out in the following aspects: firstly, the basic components of the cable structure, the basic mechanical properties and the multi field effective performance pre measurement, are studied. The single strand is generally multiphase composite. Materials, based on the theoretical method of meso mechanics, a generalized Mori-Tanaka method for the effective properties of a strand composite in a complex environment of force, heat and electromagnetic fields is proposed. The corresponding prediction formula of the equivalent properties is given. The finite element numerical model of the structure of fiber inclusion composite is further established, and the Comsol finite element software is used to obtain the finite element model. The results show that the generalized Mori-Tanaka model can well predict the effective properties of the mechanics, thermal and electromagnetics of the composite strands, and obtain the effective performance dependence under the volume fraction of the different inclusions. The prediction results of the theoretical model are in good agreement with the finite element results. Secondly, around the multiple strand lines. The mechanical properties and behavior of the cable are studied in consideration of the effect of the local contact deformation and contact friction between the strands. The mechanical analysis method of the step loading is put forward to solve the complicated nonlinear mechanical equation of the first class stranded cable (1 x 3). The effect of the rubbing effect is obtained and the analytical solutions of the mechanical response of the strands and the strands are obtained. The model and the results in this paper can be adapted to the greater range of the helix angle of the strand (from 55o to 90o). On this basis, the distribution characteristics of the friction force between the spiral strands are analyzed and obtained in detail, as well as the contact friction on the properties of the strand and the whole cable line. The effects of the contact and friction of the strands under the different helix angle on the equivalent stiffness and the internal force components of the cable structure under axial tension and torsion are obtained. The results show that the local contact deformation and friction between the strands will affect the mechanical properties of the cable, and the effect of contact deformation on the mechanical properties of the cable structure. In order to verify the reliability of the theoretical model and the analytical results, the correlation results are compared with the results of the ABAQUS finite element numerical simulation. The two are in good agreement, especially in the large variation range of the helix angle of the strand, and the better prediction results are given. Again, the needle is complicated by twisted twisted structure of the first class stranded cable. The structure of two stage cable (3 x 3), considering its local contact deformation, has been analyzed and studied on the mechanical behavior. In the case of two different contact forms in the two grade cable structure, the two equivalent model of the mechanical behavior analysis of the two grade cable structure is established under the circumstances of neglecting the indirect contact friction effect of the strands. The calculation method of internal contact and contact deformation of two grade cable is put forward. The influence of contact deformation on the overall deformation of the cable is analyzed in detail, and the analytical expression of strain and internal force distribution in the various layers of the cable is obtained. The model not only explains the influence principle of the contact deformation on the structure of the stranded cable in theory, but also explains the influence principle of the contact deformation on the stranded cable structure in theory. The effect of contact deformation on the mechanical properties of the two grade cable is quantitatively analyzed. The results show that the local contact deformation of the cable inner cable has a significant influence on the mechanical properties and the internal force of the strand, which is an important factor affecting the mechanical properties of the cable. In the case of large spiral angle, the prediction results are similar in the case of large spiral angle. Finally, based on the multi-layer complex geometric characteristics of the multilevel cable (3N) structure, this paper presents a sub (cross) level analysis model for analyzing the mechanical properties of multi-layer cable, and realizes the theoretical analysis of the mechanical properties of the multistage cable structure. On the premise of line Poisson effect and cable internal contact deformation, based on the progressive recurrence relation of the displacement and deformation of the central line of each level, the connection between the deformation of the lowest level strands and the most advanced layer cable is established. Under the condition of small deformation, the rotation relation of the main axis coordinate frame of the cross section of the strands before and after the deformation is obtained. The analytical expression of strain analysis at any point on the femoral line is used to establish the strict dependence relation between the strained strain and the deformation of the twisted cable at all levels. Further, by analyzing the step by step recurrence, we can get the deformation of the central line at all levels of the cable, and get the basic mechanical characteristics of the whole force and torque of the cable in the change of the shape by the equivalent method. The general analysis method of the multistage cable structure is used for the degenerated first grade strand structure two grade cable structure (3 x 3). The effective properties of the structure and the mechanical response are given. The results are in good agreement, and the effectiveness of the multistage structure analysis method is verified.
【學位授予單位】：蘭州大學
【學位級別】：博士
【學位授予年份】：2017
【分類號】：O342

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