本文選題：索網(wǎng)天線　切入點(diǎn)：找形　出處：《哈爾濱工業(yè)大學(xué)》2015年碩士論文

【摘要】：本文選取周邊桁架可展式索網(wǎng)天線作為研究目標(biāo),對(duì)其表面網(wǎng)格的設(shè)計(jì),網(wǎng)面的預(yù)張力設(shè)計(jì),精度調(diào)整的方法和系統(tǒng)的靜態(tài)力學(xué)性能進(jìn)行了詳細(xì)的分析研究�；贏GRAWAL最小原理誤差,天線索網(wǎng)結(jié)構(gòu)采用在光學(xué)口徑上投影為正三角形的索網(wǎng)網(wǎng)格形式。之后對(duì)索網(wǎng)進(jìn)行預(yù)應(yīng)力的優(yōu)化配置問(wèn)題研究,采用以網(wǎng)面精度均方根誤差和力均勻性為雙目標(biāo)優(yōu)化方法,分別對(duì)比研究了不考慮垂跨比和考慮垂跨比下的索網(wǎng)預(yù)應(yīng)力配置問(wèn)題,同時(shí)提出了基于理想拋物面的軸向誤差精度和失焦誤差作為網(wǎng)面精度判定的另外兩個(gè)參考指標(biāo),并給出了考慮桁架變形的網(wǎng)面找形設(shè)計(jì)方法,獲得最接近真實(shí)情況下的索網(wǎng)初始設(shè)計(jì)精度與應(yīng)力配置,算例結(jié)果表明前述方法能夠獲得良好的網(wǎng)面精度和均勻性索力配置�？紤]到索網(wǎng)在實(shí)際制造中存在的隨機(jī)誤差,建立了索網(wǎng)結(jié)構(gòu)的有限元分析模型,針對(duì)不同縱向索對(duì)精度調(diào)整的敏感性研究,獲得最佳的調(diào)整索,并建立了以最佳的調(diào)整索索長(zhǎng)變化為設(shè)計(jì)變量,網(wǎng)面精度為設(shè)計(jì)目標(biāo)的網(wǎng)面精度調(diào)整的數(shù)學(xué)模型,提出了基于多維進(jìn)退法實(shí)現(xiàn)網(wǎng)面精度的快速優(yōu)化的調(diào)整。通過(guò)算例驗(yàn)證分析,采用這個(gè)調(diào)整方法能夠提高調(diào)整效率,并能夠有效的改善反射面的形面精度。針對(duì)索網(wǎng)系統(tǒng)在實(shí)際太空環(huán)境下容易受到隨機(jī)外力的影響,本文還提出了基于最小勢(shì)能原理的索系統(tǒng)受外力后再平衡有限元靜力分析方法,方法中考慮索的小變形大位移的幾何非線性特性,并通過(guò)Newton-Raphson法迭代求解結(jié)構(gòu)有限元模型,獲得其數(shù)值解,計(jì)算具體算例分析說(shuō)明了該方法的有效性,之后評(píng)估了不同初始條件對(duì)索結(jié)構(gòu)剛度影響,發(fā)現(xiàn)增大索截面尺寸和預(yù)應(yīng)力能夠獲得索系統(tǒng)更優(yōu)的受力性能。為了研究柔索隨著外部環(huán)形桁架展開(kāi)的關(guān)鍵離散質(zhì)點(diǎn)的運(yùn)動(dòng)學(xué)特性,建立了基于懸鏈線的柔索運(yùn)動(dòng)學(xué)模型。并用具體算例分析表明,在展開(kāi)過(guò)程中要盡量使得后期牽引端的速度降低,則能使得整個(gè)索系統(tǒng)的運(yùn)動(dòng)趨于平穩(wěn),沖擊性小。并給出了基于影響系數(shù)法的索網(wǎng)天線整體結(jié)構(gòu)的剛度和模態(tài)分析,得到了索網(wǎng)天線結(jié)構(gòu)固有頻率達(dá)到了2Hz,符合實(shí)際天線最低頻率要求。
[Abstract]:In this paper, the peripheral truss deployable cable mesh antenna is chosen as the research object. The design of the surface mesh, the design of the pre-tension of the mesh surface, the method of precision adjustment and the static mechanical properties of the system are analyzed and studied in detail.Based on the minimum principle error of AGRAWAL, the cable mesh structure of the antenna adopts the form of triangular cable mesh projected on the optical aperture.After that, the optimization problem of cable net prestress is studied, and the problem of cable net prestressing is studied by taking the root mean square error of mesh precision and force uniformity as the double objective optimization method, which does not consider the vertical span ratio and the vertical span ratio, respectively.At the same time, the axial error accuracy and out-of-focus error based on ideal paraboloid are proposed as the other two reference indexes to determine the accuracy of the mesh surface, and the design method for the shape finding of the mesh surface considering the deformation of the truss is given.The initial design accuracy and stress configuration of cable net are obtained in the closest real case. The numerical results show that the proposed method can obtain good mesh accuracy and uniform cable force configuration.Considering the random error of cable net in actual manufacture, the finite element analysis model of cable net structure is established, and the optimum adjusting cable is obtained according to the sensitivity of different longitudinal cables to precision adjustment.The mathematical model of adjusting the accuracy of the mesh surface with the optimal cable length as the design variable and the precision of the mesh as the design objective is established. The fast optimization adjustment of the precision of the network is proposed based on the multidimensional advance and backward method.The example shows that this method can improve the efficiency of the adjustment and improve the accuracy of the shape surface of the reflector.In this method, the geometric nonlinearity of cable with small deformation and large displacement is considered, and the numerical solution of the finite element model of the structure is obtained iteratively by the Newton-Raphson method. An example is given to illustrate the effectiveness of the method.Then the influence of different initial conditions on the stiffness of cable structure is evaluated. It is found that increasing the size of cable section and prestressing force can obtain better performance of cable system.In order to study the kinematics characteristics of the key discrete particles of flexible cables with the expansion of external ring truss, a catenary based kinematics model of flexible cables is established.The analysis of concrete examples shows that the motion of the whole cable system tends to be stable and the impact is small if the speed of the later traction end is reduced as far as possible in the process of development.The stiffness and modal analysis of the cable mesh antenna structure based on the influence coefficient method are given. The natural frequency of the cable mesh antenna structure is up to 2 Hz, which meets the minimum frequency requirement of the actual antenna.
【學(xué)位授予單位】：哈爾濱工業(yè)大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2015
【分類號(hào)】：TN820

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本文編號(hào)：1691868