發(fā)布時(shí)間：2018-12-10 07:53

【摘要】：環(huán)形天線由周邊桁架、前/后索網(wǎng)及縱向索陣組成的索網(wǎng)結(jié)構(gòu)、以及附著在前索網(wǎng)上的金屬反射網(wǎng)組成,具有大口徑、質(zhì)量輕、收納率高的特點(diǎn),是目前比較理想的天線結(jié)構(gòu)形式。反射面的形面精度是星載環(huán)形天線電性能的重要指標(biāo),影響著信號(hào)的通訊質(zhì)量。索網(wǎng)結(jié)構(gòu)作為金屬反射網(wǎng)的支撐結(jié)構(gòu),其成形狀態(tài)直接決定了反射面的形態(tài)。然而索網(wǎng)結(jié)構(gòu)的成形狀態(tài)與索段預(yù)張力分布是不可分割的一個(gè)整體。對(duì)索網(wǎng)結(jié)構(gòu)進(jìn)行優(yōu)化設(shè)計(jì),即是在滿足形面精度的要求下對(duì)索段預(yù)張力進(jìn)行配置,該過(guò)程通常又叫做“找形”。而索網(wǎng)結(jié)構(gòu)的“找形”又受到桁架變形、鉸鏈剛度等多因素影響。文章主要工作與研究成果如下:首先,分析索網(wǎng)結(jié)構(gòu)找形結(jié)果評(píng)價(jià)指標(biāo),將形面精度和索段張力均勻性作為主要設(shè)計(jì)目標(biāo)。固定索網(wǎng)結(jié)構(gòu)邊界節(jié)點(diǎn),以索段力密度為設(shè)計(jì)變量,以網(wǎng)面均方根誤差為目標(biāo)函數(shù),并以索段張力比和張力上下限作為約束條件,建立基于力密度法的天線索網(wǎng)結(jié)構(gòu)找形優(yōu)化模型。找形算例顯示,采用該方法可使索網(wǎng)達(dá)到較高的網(wǎng)面精度和較均勻的索網(wǎng)預(yù)張力。其次,結(jié)合力密度法與有限元法,提出一種計(jì)及桁架柔性變形的找形方法,主要分三步進(jìn)行。采用有限元法獲得邊界索段殘余預(yù)張力及桁架節(jié)點(diǎn)位移,更新桁架節(jié)點(diǎn)坐標(biāo),把邊界索段預(yù)張力當(dāng)成已知量,建立新的基于力密度法的優(yōu)化數(shù)學(xué)模型,優(yōu)化得到其余索段上的預(yù)張力。最后,為替代第三章中有限元建模與分析環(huán)節(jié),提高找形效率,采用矩陣位移法建立環(huán)形桁架剛度方程。針對(duì)邊界索梁組合結(jié)構(gòu),以平衡態(tài)下桁架所受載荷為優(yōu)化變量,以該載荷與索段上殘余預(yù)張力差值為目標(biāo)函數(shù)建立優(yōu)化數(shù)學(xué)模型,對(duì)索梁耦合變形進(jìn)行分析。該方法使得柔性桁架索網(wǎng)結(jié)構(gòu)一體化找形分析成為可能,并為揭示柔性桁架、彈性鉸鏈、柔性索網(wǎng)的耦合變形機(jī)理奠定了基礎(chǔ)。
[Abstract]:The ring antenna is composed of peripheral truss, front / rear cable net and longitudinal cable array, as well as metal reflecting net attached to front cable net. It has the characteristics of large aperture, light weight and high acceptance rate. It is an ideal antenna structure at present. The shape accuracy of the reflector is an important index of the electrical performance of the spaceborne ring antenna, which affects the communication quality of the signal. As the supporting structure of metal reflecting net, the forming state of cable mesh structure directly determines the shape of reflection surface. However, the forming state of cable-net structure and the pretension distribution of cable segment are an inseparable whole. The optimal design of cable-net structure is to configure the pretension of cable section under the requirement of precision of shape plane. This process is usually called "shape finding". The shape-finding of cable-net structure is affected by many factors such as truss deformation, hinge stiffness and so on. The main work and research results are as follows: firstly, the evaluation index of the shape finding result of cable mesh structure is analyzed, and the precision of shape plane and the tension uniformity of cable segment are taken as the main design objectives. The fixed cable net structure boundary node takes the cable segment force density as the design variable, takes the root mean square error of the mesh surface as the objective function, and takes the tension ratio of the cable segment and the upper and lower limits of the tension as the constraint conditions. Based on the force density method, the shape finding optimization model of sky cue-net structure is established. An example of shape finding shows that this method can achieve higher mesh accuracy and uniform cable mesh pretension. Secondly, combining force density method and finite element method, a shape finding method considering the flexible deformation of truss is put forward, which is mainly divided into three steps. The residual pretension of the boundary cable segment and the displacement of the truss joint are obtained by using the finite element method, and the coordinates of the truss joint are updated, and the pretension of the boundary cable segment is taken as the known quantity, and a new optimization mathematical model based on the force density method is established. The pretension on the rest of the cables is optimized. Finally, in order to replace the finite element modeling and analysis in chapter 3 and improve the efficiency of shape finding, the stiffness equation of annular truss is established by matrix displacement method. According to the boundary cable-beam composite structure, the load of truss under equilibrium state is taken as the optimization variable, and the difference between the load and residual pretension on the cable segment is taken as the objective function to establish the optimization mathematical model, and the coupled deformation of cable-beam is analyzed. This method makes it possible to integrate the form-finding analysis of flexible truss cable-net structure, and lays a foundation for revealing the coupling deformation mechanism of flexible truss, elastic hinge and flexible cable-net.
【學(xué)位授予單位】：天津大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2014
【分類(lèi)號(hào)】：TU399

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