CN105905277B - A kind of aerodynamic configuration of aircraft using the rear edge support wing - Google Patents
A kind of aerodynamic configuration of aircraft using the rear edge support wing Download PDFInfo
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Abstract
本发明公开一种采用后缘支撑翼的飞行器气动布局,在飞行器机身两侧主翼后缘下方安装支撑翼。支撑翼的翼尖通过连接段与机翼后缘中部相连,支撑翼的翼根通过连接段与机身相连。本发明对支撑翼与主翼的相对位置进行合理设计,使支撑翼展向上每个沿飞行器飞行过程中气流流向铅垂面所截取的主翼截面与支撑翼截面中,形心间的竖直方向距离为a%的主翼截面弦长,且a为定值,在10~40范围内;同时主翼截面与支撑翼截面中的弦线在水平面上投影的重叠长度为b%的主翼截面弦长,b为定值,在0~15范围内;由此能够提升布局整体的升阻比,获得较好的气动性能;同时能够达到加强大展弦比机翼的刚度的目的,提升飞行器整体的结构效率。
The invention discloses an aircraft aerodynamic layout adopting trailing edge supporting wings. The supporting wings are installed under the trailing edges of the main wings on both sides of the aircraft fuselage. The wing tip of the supporting wing is connected with the middle part of the trailing edge of the wing through the connecting section, and the wing root of the supporting wing is connected with the fuselage through the connecting section. The present invention rationally designs the relative position of the supporting wing and the main wing, so that the vertical distance between the centroids of the main wing section and the supporting wing section intercepted by the airflow flowing to the vertical plane during the flight of the aircraft along the span of the supporting wing is a% of the chord length of the main wing section, and a is a fixed value, in the range of 10 to 40; at the same time, the overlapping length of the projection of the chord line in the main wing section and the supporting wing section on the horizontal plane is b% of the chord length of the main wing section, and b is The fixed value is in the range of 0 to 15; thus, the lift-to-drag ratio of the overall layout can be improved to obtain better aerodynamic performance; at the same time, the purpose of strengthening the stiffness of the wing with a large aspect ratio can be achieved, and the overall structural efficiency of the aircraft can be improved.
Description
技术领域technical field
本发明属于飞行器气动布局设计领域,具体涉及一种采用后缘支撑翼的飞行器气动布局。The invention belongs to the field of aircraft aerodynamic layout design, in particular to an aircraft aerodynamic layout adopting trailing edge support wings.
背景技术Background technique
追求高升阻比一直是航空飞行器设计的主要目标之一。对于亚声速常规布局的固定翼飞行器而言,由于机翼是其主要的升力部件,因而在设计时为了获得更高的升阻比,通常会采用增加机翼展弦比的办法。大展弦比机翼的优点在于:当飞行器飞行速度较低时,对于具有相同升力面面积的机翼,采用更大的展弦比有利于减小机翼的诱导阻力,以此获得更高的升阻比。The pursuit of a high lift-to-drag ratio has always been one of the main goals of aeronautical vehicle design. For fixed-wing aircraft with subsonic conventional layout, since the wing is its main lift component, in order to obtain a higher lift-to-drag ratio during design, the method of increasing the aspect ratio of the wing is usually adopted. The advantage of a wing with a large aspect ratio is that when the flying speed of the aircraft is low, for a wing with the same lift surface area, the use of a larger aspect ratio is beneficial to reduce the induced drag of the wing, so as to obtain a higher lift-to-drag ratio.
然而,由于大展弦比机翼的展长相比于机翼厚度和弦长要大得多,因而可能会存在展向结构刚度不足的问题。在飞行过程中,机翼会在气动力的作用下发生弹性变形,这种弹性变形反过来又使气动力随之改变,形成结构变形与气动力交互作用的气动弹性现象。气动弹性会对飞行器的操纵性和稳定性产生显著影响,严重时会使结构破坏或造成飞行事故。若直接采用加强机翼内部结构的方式,则会使机翼的结构重量大大增加,降低整个飞行器的有效载荷和结构效率。However, since the span length of a large aspect ratio wing is much larger than the thickness and chord length of the wing, there may be a problem of insufficient span-wise structural stiffness. During flight, the wing will undergo elastic deformation under the action of aerodynamic force, and this elastic deformation will in turn change the aerodynamic force accordingly, forming an aeroelastic phenomenon in which structural deformation and aerodynamic force interact. Aeroelasticity will have a significant impact on the maneuverability and stability of the aircraft, and in severe cases, it will damage the structure or cause flight accidents. If the method of strengthening the internal structure of the wing is directly adopted, the structural weight of the wing will be greatly increased, and the payload and structural efficiency of the entire aircraft will be reduced.
为解决上述大展弦比机翼的刚度问题,NASA在与波音合作进行的亚声速全绿色飞行器研究(SUGAR)中提出了一种在机翼下方添加支撑桁架的布局。该布局包含上单翼,机身,联接机翼和机身的、用以分担机翼弯曲载荷的主支架,以及联接机翼和主支架竖直支架。主支架与机翼的连接点位于机翼中部,且主支架的位置处于机翼的正下方。这种添加支撑桁架的方法相比于加强机翼内部结构的方式,可以大大降低机翼整体的结构重量,提高飞行器的有效载荷和结构效率。但是,添加的支撑桁架会造成飞行器整体的升阻比减小,降低其气动效率。虽然机翼和支撑桁架经过了翼型的优化设计,能够弥补一定的气动损失,但是根据双翼飞行器设计的经验,在单翼正下方布置升力面,其气动效率仍然相对低下。In order to solve the stiffness problem of the high-aspect-ratio wing mentioned above, NASA proposed a layout of adding support trusses under the wing in the Subsonic All-Green Vehicle Research (SUGAR) conducted in cooperation with Boeing. The layout includes the upper monoplane, the fuselage, the main bracket connecting the wing and the fuselage to share the bending load of the wing, and the vertical bracket connecting the wing and the main bracket. The connection point between the main support and the wing is located in the middle of the wing, and the position of the main support is directly below the wing. Compared with strengthening the internal structure of the wing, this method of adding support truss can greatly reduce the overall structural weight of the wing and improve the payload and structural efficiency of the aircraft. However, the added support truss will reduce the overall lift-to-drag ratio of the aircraft and reduce its aerodynamic efficiency. Although the optimized design of the airfoil and the supporting truss can make up for a certain amount of aerodynamic loss, according to the design experience of biplane aircraft, the aerodynamic efficiency is still relatively low if the lifting surface is arranged directly under the single wing.
发明内容Contents of the invention
本发明从气动设计的角度出发,根据双翼布局中下机翼位于上机翼的后缘能够获得更好气动性能,以及添加支撑桁架可以加强单翼展向刚度,降低机翼结构重量以及提高飞行器有效载荷的技术经验,提出了一种采用后缘支撑翼的飞行器气动布局,为具有大展弦比机翼的飞行器气动布局提供了一种结构性能和气动性能均较优秀的技术方案。The present invention starts from the perspective of aerodynamic design, according to the double-wing layout, the lower wing is located at the trailing edge of the upper wing to obtain better aerodynamic performance, and the addition of support trusses can strengthen the spanwise stiffness of the single wing, reduce the weight of the wing structure and improve the performance of the aircraft. Based on the technical experience of the payload, an aircraft aerodynamic layout using trailing edge support wings is proposed, which provides a technical solution with excellent structural performance and aerodynamic performance for the aircraft aerodynamic layout with large aspect ratio wings.
本发明飞行器气动布局,在飞行器机身两侧主翼后缘下方安装支撑翼。支撑翼的翼尖通过流线型翼尖连接段与机翼后缘中部相连,支撑翼的翼根通过流线型翼根连接段与机身相连。In the aerodynamic layout of the aircraft of the present invention, support wings are installed below the rear edges of the main wings on both sides of the aircraft fuselage. The wing tip of the supporting wing is connected with the middle part of the trailing edge of the wing through the streamlined wing tip connecting section, and the wing root of the supporting wing is connected with the fuselage through the streamlined wing root connecting section.
支撑翼展向上每个沿飞行器飞行过程中气流流向铅垂面所截取的主翼截面与支撑翼截面中,形心间的竖直方向距离为a%的主翼截面弦长,且a为定值,在10~40范围内;同时支撑翼的前缘与主翼的后缘间具有重叠部分,设计支撑翼展向上每个沿飞行器飞行过程中气流流向铅垂面所截取的主翼截面与支撑翼截面中的弦线在水平面上投影的重叠长度为b%的主翼截面弦长,b为定值,在0~15范围内。In each main wing section and supporting wing section intercepted by the airflow along the vertical plane during the flight of the supporting wing span, the vertical distance between the centroids is a% of the chord length of the main wing section, and a is a fixed value. In the range of 10 to 40; at the same time, there is an overlapping part between the leading edge of the supporting wing and the trailing edge of the main wing, and the designed supporting wing span upwards each section of the main wing taken along the vertical plane of the airflow during the flight of the aircraft and the section of the supporting wing The overlapping length of the projection of the chord line on the horizontal plane is b% of the chord length of the main wing section, and b is a fixed value in the range of 0-15.
本发明的优点在于:The advantages of the present invention are:
1、本发明采用后缘支撑翼的飞行器气动布局,在结构性能上,提出了一种解决大展弦比机翼刚度不足问题的气动布局方案,能够降低机翼的结构重量,提升飞行器整体的有效载荷和结构效率;1. The present invention adopts the aerodynamic layout of the aircraft with trailing edge support wings. In terms of structural performance, it proposes an aerodynamic layout scheme to solve the problem of insufficient stiffness of the wing with a large aspect ratio, which can reduce the structural weight of the wing and improve the overall performance of the aircraft. Payload and structural efficiency;
2、本发明采用后缘支撑翼的飞行器气动布局,在气动性能上,支撑翼的布局方案能够通过对支撑翼与机翼尺寸、相对位置以及支撑翼安装角的合理设计,使机翼整体的升力系数及小攻角时的升阻比得到提升,并使其获得接近无支撑单翼布局的最大升阻比,保持了飞行器整体的气动效率。2. The present invention adopts the aircraft aerodynamic layout of the trailing edge support wing. In terms of aerodynamic performance, the layout scheme of the support wing can make the whole wing The lift coefficient and the lift-to-drag ratio at small angles of attack are improved, making it close to the maximum lift-to-drag ratio of the unsupported single-wing layout, maintaining the overall aerodynamic efficiency of the aircraft.
3、本发明采用后缘支撑翼的飞行器气动布局,能够达到加强大展弦比平直机翼刚度的目的,同时可使飞行器能够兼顾气动效率和结构效率。3. The invention adopts the aerodynamic layout of the aircraft with trailing edge support wings, which can achieve the purpose of strengthening the stiffness of the straight wing with a large aspect ratio, and at the same time enable the aircraft to take into account both aerodynamic efficiency and structural efficiency.
附图说明Description of drawings
图1为本发明飞行器气动布局整体示意图;Fig. 1 is the overall schematic diagram of the aerodynamic layout of the aircraft of the present invention;
图2为本发明飞行器气动布局整体俯视示意图;Fig. 2 is a schematic diagram of the overall top view of the aerodynamic layout of the aircraft of the present invention;
图3为本发明飞行器气动布局整体侧视示意图;Fig. 3 is the schematic diagram of the overall side view of the aerodynamic layout of the aircraft of the present invention;
图4为本发明飞行器气动布局整体侧正视示意图;Fig. 4 is a schematic diagram of the overall side front view of the aerodynamic layout of the aircraft of the present invention;
图5为本发明飞行器气动布局中支撑翼展向上沿飞行器飞行过程中气流流向铅垂面所截取的主翼截与支撑翼截面中,形心间的竖直方向距离,以及主翼与支撑翼截面弦线重叠长度示意图;Fig. 5 is that in the aerodynamic layout of the aircraft of the present invention, the vertical direction distance between the centroids and the chord line of the main wing and the supporting wing section in the main wing section and the supporting wing section intercepted by the air flow along the air flow to the vertical plane in the aircraft aerodynamic layout upwards Schematic diagram of overlapping length;
图6a为本发明飞行器气动布局对比与单翼布局升力系数随攻角变化曲线图;Fig. 6a is a graph showing the variation of the lift coefficient with the angle of attack of the comparison of the aerodynamic layout of the aircraft of the present invention and the single-wing layout;
图6b为本发明飞行器气动布局对比与单翼布局升阻比随攻角变化曲线图;Figure 6b is a graph showing the variation of the lift-to-drag ratio of the aircraft with the angle of attack compared with the aerodynamic layout of the aircraft of the present invention;
图7a为本发明飞行器气动布局在两个不同攻角下升力系数随主翼截面与支撑翼截面安装角差值变化曲线;Fig. 7a is the variation curve of the lift coefficient with the installation angle difference between the main wing section and the supporting wing section under two different attack angles in the aerodynamic layout of the aircraft of the present invention;
图7b为为本发明飞行器气动布局在两个不同攻角下升阻比随主翼截面与支撑翼截面安装角差值变化曲线;Fig. 7b is the lift-drag ratio variation curve with the installation angle difference between the main wing section and the supporting wing section under two different attack angles for the aerodynamic layout of the aircraft of the present invention;
图中:In the picture:
1-主翼 2-机身 3-支撑翼1-Main Wing 2-Fuselage 3-Support Wing
4-翼尖连接段 5-翼根连接段4-Wing tip connection section 5-Wing root connection section
具体实施方式Detailed ways
下面结合附图对本发明做进一步说明。The present invention will be further described below in conjunction with the accompanying drawings.
本发明飞行器气动布局中,飞行器采用大展弦比的平直主翼1、常规柱形体机身2,以及具有较大上反角的支撑翼3,如图1~4所示。其中,主翼1为两个,分别对称安装在机身2左右两侧。支撑翼3为两个,分别对称设置在机身两侧,分别位于两个主翼1后缘位置,即支撑翼3位于主翼1关于来流方向8的下游。支撑翼3的翼尖通过流线型翼尖连接段4与机翼1后缘中部相连,支撑翼3的翼根通过流线型翼根连接段5与机身2相连;且使支撑翼3截面弦线位于主翼1截面弦线的下方。上述两个主翼1布置为上单翼,两个支撑翼3布置为下单翼,可使机翼1与支撑翼3与机身2连接时,避免对机身2容积和结构造成不利影响。主翼1和支撑翼3的截面翼型可根据气动设计的需求具体设计,但在支撑翼3展向上各个沿飞行器飞行过程中气流流向铅垂面所截取的主翼1截面与支撑翼3截面中,支撑翼3的弦长需小于主翼1的弦长。In the aerodynamic layout of the aircraft of the present invention, the aircraft adopts a straight main wing 1 with a large aspect ratio, a conventional cylindrical fuselage 2, and a support wing 3 with a large dihedral angle, as shown in FIGS. 1-4 . Wherein, there are two main wings 1, which are symmetrically installed on the left and right sides of the fuselage 2 respectively. There are two supporting wings 3, which are arranged symmetrically on both sides of the fuselage, and are respectively located at the rear edge of the two main wings 1, that is, the supporting wings 3 are located downstream of the main wing 1 with respect to the incoming flow direction 8. The wing tip of the supporting wing 3 is connected to the middle part of the trailing edge of the wing 1 through the streamlined wing tip connecting section 4, and the wing root of the supporting wing 3 is connected with the fuselage 2 through the streamlined wing root connecting section 5; and the section chord line of the supporting wing 3 is located at Below the chord line of the main wing 1 section. The above-mentioned two main wings 1 are arranged as an upper single wing, and the two supporting wings 3 are arranged as a lower single wing, so that when the wing 1 and the supporting wing 3 are connected with the fuselage 2, adverse effects on the volume and structure of the fuselage 2 can be avoided. The cross-sectional airfoils of the main wing 1 and the supporting wing 3 can be specifically designed according to the requirements of aerodynamic design, but in the cross-sections of the main wing 1 and the supporting wing 3 taken along the vertical plane during the flight of the aircraft along the span of the supporting wing 3, The chord length of the supporting wing 3 needs to be smaller than the chord length of the main wing 1 .
所述两个支撑翼3和主翼1的具体相对位置与飞行器整体气动性能密切相关,需根据气动设计的要求确定,具体确定方式为:对于大展弦比的机翼1,由于其展向流动可以忽略,因此主翼1和支撑翼3间相对位置的确定可按照二维情形进行分析,通过模拟可得到飞行器整体升阻比,当升阻比最大时,主翼截面与支撑翼截面间处于最优的相对位置。随后设计支撑翼3展向上每个沿飞行器飞行过程中气流流向铅垂面所截取的主翼1截面与支撑翼3截面中,形心间的竖直方向距离为a%的主翼1截面弦长,且a为定值,在10~40范围内。同时支撑翼3的前缘与主翼1的后缘间具有重叠部分,设计支撑翼3展向上每个沿飞行器飞行过程中气流流向铅垂面所截取的主翼1截面与支撑翼3截面中的弦线在水平面上投影的重叠长度L2为b%的主翼1截面弦长,b为定值,在0~15范围内。最终拓展于三维情形,得到支撑翼3构型,如图4所示。The specific relative positions of the two supporting wings 3 and the main wing 1 are closely related to the overall aerodynamic performance of the aircraft and must be determined according to the requirements of the aerodynamic design. The specific determination method is: for the wing 1 with a large aspect ratio, due to its spanwise flow can be ignored, so the determination of the relative position between the main wing 1 and the supporting wing 3 can be analyzed according to the two-dimensional situation, and the overall lift-drag ratio of the aircraft can be obtained through simulation. When the lift-drag ratio is the largest, the section between the main wing and the supporting wing is at the optimum relative position. Then design support wing 3 span upwards in the main wing 1 cross-section and support wing 3 cross-sections intercepted by the airflow during the flight of the aircraft to the vertical plane, the vertical distance between the centroids is the main wing 1 section chord length of a%, and a is a fixed value, in the range of 10-40. Simultaneously, there is an overlapping portion between the leading edge of the supporting wing 3 and the trailing edge of the main wing 1, and the design of the supporting wing 3 spans upwards along the chord of the main wing 1 section and the supporting wing 3 section taken along the vertical plane during the flight of the aircraft. The overlapping length L 2 projected by the lines on the horizontal plane is b% of the chord length of the main wing 1 section, and b is a fixed value within the range of 0-15. Finally, it is extended to the three-dimensional situation, and the configuration of the supporting wing 3 is obtained, as shown in Fig. 4 .
上述支撑翼3可设计为与主翼1安装角相同或不同,在支撑翼3与主翼1安装角不同时,使得支撑翼3在飞行器飞行状态下具有不同于主翼1的攻角,在本发明飞行器气动布局下,选用合适的支撑翼3安装角,能够在较大攻角范围内提升飞行器整体的气动性能。Above-mentioned supporting wing 3 can be designed to be identical with main wing 1 installation angle or different, when supporting wing 3 and main wing 1 installation angles are different, make supporting wing 3 have the angle of attack different from main wing 1 under the flying condition of aircraft, in aircraft of the present invention Under the aerodynamic layout, choosing an appropriate installation angle of the support wing 3 can improve the overall aerodynamic performance of the aircraft within a large range of angle of attack.
实施例1:主翼1以及支撑翼3均采用Clark-Y翼型;主翼1的弦长均为2m,支撑翼3的弦长参考长度为1m;支撑翼3的模型中设计支撑翼3展向上各个沿飞行器飞行过程中气流流向铅垂面所截取的主翼1截面与支撑翼3截面中,形心间的竖直方向距离为10%的主翼1截面弦长,且主翼1截面弦线与支撑翼3截面弦线重叠长度为11%的主翼1截面弦线。图6a、6b分别给出了上述支撑翼3布局对比于无支撑的单翼布局升力系数、升阻比随攻角变化的二维分析曲线,其中支撑翼布局的升力为两翼升力之和,支撑翼3与单翼的参考长度均取为1m。可以看出,相比于单翼布局,当本发明中布局的支撑翼3位于合理位置时,使布局整体的升力系数显著提升,并使其在小攻角时的升阻比提高,同时使其最大升阻比接近于无支撑的单翼布局。这说明本发明支撑翼布局在合理设计时能够获得比单翼布局更优的气动效率。Embodiment 1: Both the main wing 1 and the supporting wing 3 adopt Clark-Y airfoil; the chord length of the main wing 1 is 2m, and the reference length of the chord length of the supporting wing 3 is 1m; the supporting wing 3 is designed to span upward in the model of the supporting wing 3 In each section of the main wing 1 and the section of the supporting wing 3 taken along the vertical plane during the flight of the aircraft, the vertical distance between the centroids is 10% of the chord length of the main wing 1 section, and the chord line of the section of the main wing 1 and the supporting wing The 3-section chord overlaps the length of the 1-section chord of the main wing by 11%. Figures 6a and 6b respectively show the two-dimensional analysis curves of the lift coefficient and lift-to-drag ratio of the above-mentioned supported wing 3 layout compared with the unsupported single-wing layout. The lift of the supported wing layout is the sum of the lift of the two wings. The reference lengths of wing 3 and the single wing are both taken as 1m. It can be seen that compared with the single-wing layout, when the supporting wing 3 of the layout in the present invention is located at a reasonable position, the lift coefficient of the overall layout is significantly improved, and the lift-to-drag ratio is improved at a small angle of attack, while the Its maximum lift-to-drag ratio is close to that of an unsupported monoplane. This shows that the layout of the supporting wing of the present invention can obtain better aerodynamic efficiency than that of the single wing layout when it is properly designed.
实施例2:主翼以及支撑翼均采用Clark-Y翼型;主翼的弦长为2m,支撑翼的弦长为1m;支撑翼3的模型中设计支撑翼3展向上各个沿飞行器飞行过程中气流流向铅垂面所截取的主翼1截面与支撑翼3截面中,形心间的竖直方向距离为40%的主翼1截面弦长,且主翼1截面弦线与支撑翼3截面弦线重叠长度为0%的主翼1截面弦线,即两者间不重叠;主翼1截面安装角为φ1=0°,支撑翼3截面安装角为φ2,则主翼1与支撑翼3截面安装角差为Δφ=φ2-φ1。图7a、7b分别给出了上述支撑翼3布局实施例在两个不同攻角下其升力系数、升阻比随Δφ变化的二维分析曲线,其中升力系数的定义同实施例1。布局整体的攻角分别为0°和8°。可以看出,当布局整体攻角为0°时,升力系数和升阻比在相当大的Δφ范围内随之单调增加;当攻角为8°时,升阻比并不对Δφ的变化具有单调性。这说明可以根据设计要求综合考虑,以确定支撑翼3的安装角,使后缘支撑翼布局整体在较大的攻角范围获得比较理想的气动性能。Embodiment 2: the main wing and the supporting wing all adopt the Clark-Y airfoil; the chord length of the main wing is 2m, and the chord length of the supporting wing is 1m; in the model of the supporting wing 3, the design supporting wing 3 spreads upwards and each along the airflow during the flight of the aircraft In the section of the main wing 1 and the section of the supporting wing 3 intercepted by the flow direction vertical plane, the vertical distance between the centroids is 40% of the chord length of the section of the main wing 1, and the overlapping length of the chord line of the main wing 1 section and the section chord of the supporting wing 3 is 0% of the chord line of the main wing 1 section, that is, the two do not overlap; the installation angle of the main wing 1 section is φ 1 = 0°, and the installation angle of the support wing 3 section is φ 2 , then the difference between the installation angles of the main wing 1 and support wing 3 sections is Δφ=φ 2 −φ 1 . Figures 7a and 7b show the two-dimensional analysis curves of the lift coefficient and lift-to-drag ratio as a function of Δφ of the above-mentioned support wing 3 layout embodiment at two different angles of attack, wherein the definition of the lift coefficient is the same as that in Embodiment 1. The angles of attack for the overall layout are 0° and 8°, respectively. It can be seen that when the overall attack angle of the layout is 0°, the lift coefficient and lift-to-drag ratio increase monotonously within a considerable range of Δφ; when the attack angle is 8°, the lift-drag ratio does not have a monotonous change with Δφ sex. This shows that the installation angle of the support wing 3 can be determined comprehensively according to the design requirements, so that the overall arrangement of the trailing edge support wing can obtain relatively ideal aerodynamic performance in a relatively large range of attack angles.
综上所述,本发明通过在主翼1下方后缘位置增加支撑翼3,且对支撑翼3与主翼1的相对位置进行合理设计,在加强大展弦比主翼1刚度的同时,能够提升布局整体的升阻比,获得较好的气动性能;同时能够达到加强大展弦比机翼的刚度的目的,提升飞行器整体的结构效率。To sum up, the present invention increases the support wing 3 at the rear edge position below the main wing 1, and reasonably designs the relative position of the support wing 3 and the main wing 1, while strengthening the stiffness of the main wing 1 with a large aspect ratio, it can improve the layout The overall lift-to-drag ratio can achieve better aerodynamic performance; at the same time, it can achieve the purpose of strengthening the stiffness of the wing with a large aspect ratio and improve the overall structural efficiency of the aircraft.
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