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Reliability evaluation method of complex technical systems based on test results of disassembled components 基于拆卸部件试验结果的复杂技术系统可靠性评估方法
Q3 Earth and Planetary Sciences Pub Date : 2023-04-01 DOI: 10.1007/s42401-023-00212-x
Alexey Amosov, Oleg Rozhdestvensky

Reliability is an applied scientific direction. Here, the methods of research of systems under conditions of occurrence and elimination of random events are used and developed: failures of components of these systems. Basic research methods and conclusions of reliability theory are of general nature and can be applied in any field of engineering. In this paper, a team of authors considered an urgent problem of modern production, which is an overestimated number of full-scale tests, which entails an increase in the cost of products. The aim of the work is to create a method for evaluating complex technical systems based on the results of testing its elements, in particular electrical circuits. The practical significance of the work is expressed in the application of the method in analytical calculations of the reliability of component parts based on test data in the design of new complex technical systems and complexes. Also, in the work, the types of system failures are briefly considered and classified, and a method for experimental assessment of system reliability is given. The most significant factors for the stage of statistical processing are considered and analyzed. The following is a review of the literature on the issue under study and several examples of the use of the method in practice, with confirmation of the accuracy of the result by practical testing. As a result of the work, it was obtained that if the estimates of the probabilities of failure-free operation of all elements of the system are the same, then the estimates of the probabilities of the states of systems with a failure of the same number of elements are also the same. As a conclusion, practical recommendations on the application of the method are presented, but also the experience of the authors in the operation of complex technical systems shows that the operational reliability is almost always lower than the level obtained from the calculation results. The inaccuracy is explained by the imperfection of the production technology and the low reliability of reference information.

可靠性是一个应用科学方向。在这里,使用和发展了在随机事件发生和消除的条件下研究系统的方法:这些系统的组件故障。可靠性理论的基本研究方法和结论具有一般性,可以应用于任何工程领域。在这篇论文中,一组作者考虑了现代生产的一个紧迫问题,即高估了全尺寸测试的数量,这会增加产品成本。这项工作的目的是创造一种基于测试其元件,特别是电路的结果来评估复杂技术系统的方法。在新的复杂技术系统和综合体的设计中,该方法在基于测试数据的零部件可靠性分析计算中的应用表明了该工作的实际意义。此外,在工作中,对系统故障的类型进行了简要的考虑和分类,并给出了系统可靠性的实验评估方法。对统计处理阶段最重要的因素进行了考虑和分析。以下是关于所研究问题的文献综述,以及在实践中使用该方法的几个例子,并通过实际测试证实了结果的准确性。作为工作的结果,得到了如果系统的所有元件的无故障操作概率的估计是相同的,那么具有相同数量元件的故障的系统的状态概率的估计也是相同的。作为结论,对该方法的应用提出了实用建议,但作者在复杂技术系统运行中的经验表明,运行可靠性几乎总是低于计算结果的水平。这种不准确的原因是生产技术的不完善和参考信息的可靠性低。
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引用次数: 1
Determination of minimum thickness of composite panels taking into account limits on stability and fatigue under postbuckling behavior 考虑后屈曲行为下稳定性和疲劳极限的复合材料面板最小厚度的确定
Q3 Earth and Planetary Sciences Pub Date : 2023-03-28 DOI: 10.1007/s42401-023-00206-9
Oleg Mitrofanov, Maksim Shkurin

When designing the compressed thin composite skin of a multispar flap box of a small aircraft, its buckling due to compressive forces at loads below the operational level is admissible. This work considers smooth orthotropic rectangular panels loaded with longitudinal compressive strength. To determine the optimal parameters of the panels, a method based on a postbuckling state involving an analytical solution of geometrically nonlinear problems obtained by the Bubnov–Galerkin method was used. In this paper, methods for determining the minimum thickness of orthotropic panels, for which supercritical behavior is permissible when subjected to compressive forces, are developed. They include, firstly, the approaches using various strength criteria given the static loading, secondly, methods allowing for the variation of the width of the panel when considering two levels of loading: ensuring limitations of buckling at the first level of loading and static strength conditions in the case of geometrically nonlinear behavior at the second level of loading, and thirdly, methods taking into account the requirements of fatigue cycling. Here, also two levels of loading may be considered, at which stability and strength are ensured under postbuckling behavior, according to the parameters of fatigue loading and permissible stresses with respect to fatigue strength. These methods are reduced to solving analytical ratios with respect to the thickness shown on the example of hinge-supported composite panels. Since the obtained analytical relations are associated with the initial stage of postbuckling behavior, the paper provides an expression for compressive forces, at which the number of half-waves can be increased under geometrically nonlinear behavior. Of practical significance is the possibility of determining the optimal parameters of smooth orthotropic panels under static and fatigue loading at the early stages of design.

在设计小型飞机多段襟翼箱的压缩薄复合材料蒙皮时,其在低于操作水平的载荷下由于压缩力而产生的屈曲是允许的。这项工作考虑了承受纵向抗压强度的光滑正交各向异性矩形板。为了确定面板的最佳参数,使用了一种基于后屈曲状态的方法,该方法涉及通过Bubnov–Galerkin方法获得的几何非线性问题的解析解。本文提出了正交各向异性板最小厚度的确定方法,当受到压缩力时,超临界行为是允许的。它们包括,首先,在给定静态载荷的情况下使用各种强度标准的方法,其次,在考虑两个载荷水平时允许面板宽度变化的方法:确保第一载荷水平下的屈曲限制和第二载荷水平下几何非线性行为的静强度条件,以及第三,方法考虑疲劳循环的要求。这里,还可以考虑两个载荷水平,根据疲劳载荷和相对于疲劳强度的容许应力的参数,在该载荷水平下,在后屈曲行为下确保稳定性和强度。这些方法简化为求解铰链支撑复合材料面板示例中所示厚度的解析比。由于所获得的解析关系与后屈曲行为的初始阶段有关,因此本文提供了压缩力的表达式,在几何非线性行为下,半波的数量可以增加。具有实际意义的是,在设计的早期阶段,确定在静态和疲劳载荷下光滑正交异性板的最佳参数的可能性。
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引用次数: 0
Fatigue strength estimates for composite wing panels of prospective supersonic transport aircraft 未来超音速运输机复合材料机翼面板的疲劳强度估计值
Q3 Earth and Planetary Sciences Pub Date : 2023-03-27 DOI: 10.1007/s42401-023-00210-z
V. E. Strizhius, N. V. Turbin

The results of fatigue strength estimates, required for ensuring durability design goal of composite materials made upper and lower panels of the prospective supersonic transport aircraft (PSTA) wing are presented. Developed estimates of the fatigue properties are based on the approximations gained from published sources. Fatigue strength (S–N) equations for composite panels of the PSTA wing are deduced, which might be followed by procedure of compliance to service design goal. The methods developed are used to compare intact and required fatigue strength of original carbon fiber reinforced plastic (CFRP) and one with modified properties by nanoparticles inclusion. Finally, the sensitivity of the developed fatigue strength estimates to chosen parameters is studied. Developed methodology can be utilized during preliminary strength analysis of the PSTA wing panels.

为确保未来超音速运输机(PSTA)机翼上下面板复合材料的耐久性设计目标,需要对其疲劳强度进行估算。对疲劳特性的估算是基于从已公布资料中获得的近似值。推导出了 PSTA 机翼复合材料面板的疲劳强度(S-N)方程,并可根据该方程进行符合服务设计目标的程序。所开发的方法用于比较原始碳纤维增强塑料(CFRP)和通过加入纳米颗粒改变特性的碳纤维增强塑料的完好疲劳强度和所需疲劳强度。最后,研究了所开发的疲劳强度估计值对所选参数的敏感性。所开发的方法可用于 PSTA 机翼面板的初步强度分析。
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引用次数: 0
Improved multi-target tracking crossing paths in MIMO FMCW 8 × 16 radar system using a new hybrid AMC-JPDAF algorithm MIMO FMCW 8中改进的多目标跟踪交叉路径 × 采用新型混合AMC-JPDAF算法的16雷达系统
Q3 Earth and Planetary Sciences Pub Date : 2023-03-27 DOI: 10.1007/s42401-023-00211-y
Khaireddine Zarai, Ibrahim Ben Abdallah, Adnane Cherif

This research paper deals with multi-target tracking in a MIMO radar system, which presents complex data that can result in correlation problems and create technical difficulties. The objective is to resolve these issues and prevent divergence in object-tracking scenarios. However, when the cross-path phenomenon occurs, the process of assigning target measurements in MIMO radar systems becomes more complicated, and the interference phenomenon can disturb the received signal and disrupt the state estimation process. We have created a new algorithm called AMC-JPDAF that is a combination of the particle filter with the adaptive Monte Carlo (AMC) method and the joint probabilistic data association filter (JPDAF). This replaces the conventional extended KALMAN filter (EKF) used in EKF-JPDAF. We incorporated an entropy calculation and resampling sub-algorithm to overcome the limitations of EKF-JPDAF, which resulted in a more accurate estimation of two crossing targets and reduced trajectory loss in various tracking scenarios. Our experiments demonstrate that AMC-JPDAF is effective in preventing possible divergence phenomena when simulating two intersecting drones tracking scenarios. We report that the coherent measurement ambiguity is resolved at the crossover point of the trajectories corresponding to each target, giving us a low trajectory loss rate of 3.9%, which is significantly better than the 18.7% and 10.8% reported by simulations that do not affect the trajectory estimation process. We employed the MATLAB software development framework to design a system that satisfies the goals initially established by AMC-JPDAF. We then validated the system's performance by using an experimental database collected from the MIMO-FMCW 8 × 16 radar system.

本文研究的是MIMO雷达系统中的多目标跟踪,它提供了复杂的数据,可能会导致相关问题并造成技术困难。目标是解决这些问题,并防止在对象跟踪场景中出现分歧。然而,当交叉路径现象发生时,MIMO雷达系统中分配目标测量的过程变得更加复杂,并且干扰现象可能干扰接收信号并干扰状态估计过程。我们创建了一种称为AMC-JPDAF的新算法,它是粒子滤波器与自适应蒙特卡罗(AMC)方法和联合概率数据关联滤波器(JPDAF)的结合。这取代了在EKF-JPDAF中使用的传统扩展卡尔曼滤波器(EKF)。我们结合了熵计算和重采样子算法来克服EKF-JPDAF的局限性,这使得在各种跟踪场景中对两个交叉目标进行了更准确的估计,并减少了轨迹损失。我们的实验表明,在模拟两个相交的无人机跟踪场景时,AMC-JPDAF在防止可能的发散现象方面是有效的。我们报告说,相干测量模糊度在每个目标对应的轨迹的交叉点得到了解决,使我们的轨迹损失率较低,为3.9%,这明显好于模拟报告的18.7%和10.8%,模拟报告的轨迹估计过程不受影响。我们采用MATLAB软件开发框架来设计一个满足AMC-JPDAF最初建立的目标的系统。然后,我们使用从MIMO-FMCW 8收集的实验数据库验证了系统的性能 × 16雷达系统。
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引用次数: 0
Trajectory planning with minimum energy consumption for multi-target regions autonomous cruise of stratospheric airship in wind field 平流层飞艇在风场中多目标区域自主巡航的最小能耗轨迹规划
Q3 Earth and Planetary Sciences Pub Date : 2023-03-23 DOI: 10.1007/s42401-023-00209-6
Linzhi Xiao, Pingfang Zhou, Yang Wu, Qiming Lin, Yuhao Jing, Deyu Yu

In the future, the stratospheric airship will be used to accomplish the continuous cruising mission in the widely distributed area. To solve the trajectory planning problem of a single airship continuously cruising multi-target regions, a global trajectory planning algorithm with the minimum energy consumption is proposed under the assumption of constant horizontal wind and cruising altitude. First, the singular perturbation method is used to plan the trajectory of the airship with minimum energy consumption in the long-distance straight cruise phase between each two target regions. This method determines the optimal yaw angle and cruising speed of the airship. Then, quadratic programming is used to solve the trajectory of the airship cruising in the target region by considering the smoothness and continuity of the airship's flight, the requirements of cruising time, and the constraints of speed and acceleration. Finally, the trajectory is optimized by considering the yaw rate constraint to strengthen the dynamic feasibility. Based on the above algorithms, we give a specific trajectory planning case in the last section.

未来,平流层飞艇将用于在广泛分布的地区完成连续巡航任务。针对单飞船连续巡航多目标区域的轨迹规划问题,在水平风和巡航高度不变的假设下,提出了一种能耗最小的全局轨迹规划算法。首先,采用奇异摄动方法,在每两个目标区域之间的长距离直线巡航阶段,以最小能耗规划飞艇的轨迹。该方法确定了飞艇的最佳偏航角和巡航速度。然后,考虑飞艇飞行的平稳性和连续性、巡航时间的要求以及速度和加速度的约束,采用二次规划求解飞艇在目标区域巡航的轨迹。最后,通过考虑偏航率约束对轨迹进行优化,以增强动力学可行性。在上述算法的基础上,我们在最后一节给出了一个具体的轨迹规划案例。
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引用次数: 0
A discrete design method of repeat ground track orbit for Earth observation satellites 地球观测卫星重复地面轨道的离散设计方法
Q3 Earth and Planetary Sciences Pub Date : 2023-03-21 DOI: 10.1007/s42401-022-00188-0
Xiaofang Wei, Bingliang Zhang, Tan Ju, Dexin Zhang, Xiaowei Shao

This paper proposes a target orbit design scheme based on Pareto optimization for Earth observation satellites with injection error. To avoid high fuel consumption of satellite from injection orbit to original reference orbit, a new target orbit is designed. This target orbit not only requires low fuel consumption, but also can achieve no leakage coverage to the ground. First, the analytical model of sun-synchronous repeating orbit is established under (J_{{2}}) perturbation. Based on this analytical model, in the neighborhood of injection orbit, the feasible solution set of the target orbit is constructed. This solution set constitutes a discrete search list. Second, a multi-objective optimization problem about fuel consumption and ground coverage is established. As the feasible solutions are constrained in the search list, the optimization of continuous variables in continuous space is transformed into the optimization of finite variables in discrete space, which greatly reduces the optimization time. Meanwhile, a weighted parameter (alpha) is proposed. It represents the decision-maker’s preference for a specific indicator. Then, a preference function of fuel consumption and ground coverage is constructed based on (alpha). The preference function will help the decision-maker to select the most appropriate solution from the Pareto front. Finally, the above orbital elements are corrected under (J_{{4}}) perturbation by differential correction. The simulation results show that for satellites with large injection, maneuvering the satellite to the redesigned target orbit can save 97.36% of fuel compared with maneuvering to the original reference orbit.

针对具有注入误差的地球观测卫星,提出了一种基于Pareto优化的目标轨道设计方案。为了避免卫星从注入轨道到原始参考轨道的高燃料消耗,设计了一个新的目标轨道。这种目标轨道不仅需要低燃料消耗,而且可以实现对地面的无泄漏覆盖。首先,建立了太阳同步重复轨道在(J_{2}})摄动下的解析模型。基于该分析模型,在注入轨道附近,构造了目标轨道的可行解集。此解决方案集构成一个离散搜索列表。其次,建立了一个关于燃料消耗和地面覆盖的多目标优化问题。由于可行解在搜索列表中受到约束,将连续空间中连续变量的优化转化为离散空间中有限变量的优化,大大缩短了优化时间。同时,提出了一个加权参数(alpha)。它代表决策者对特定指标的偏好。然后,基于(alpha)构造了燃料消耗和地面覆盖的偏好函数。偏好函数将帮助决策者从Pareto前沿选择最合适的解决方案。最后,在(J_{{4}})扰动下,用微分校正对上述轨道元素进行了校正。仿真结果表明,对于注入量较大的卫星,将卫星机动到重新设计的目标轨道与机动到原始参考轨道相比,可节省97.36%的燃料。
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引用次数: 0
Thermal–mechanical properties of aluminum cylindrical sandwich structures with foldcores 具有折叠芯的铝制圆柱形夹层结构的热机械性能
Q3 Earth and Planetary Sciences Pub Date : 2023-03-15 DOI: 10.1007/s42401-023-00207-8
Kailun Huang, Han Liu, Tao Wang, Bin Ji, Hai Wang, Xiang Zhou

Nowadays sandwich structures with foldcores have extensive applications in aviation and aerospace fields, which are considered better than honeycomb sandwich structures to some extent. This paper explores the thermal–mechanical properties of cylindrical sandwich structures (CSS) with four kinds of foldcores, including Axial Miura, Circumferential Miura, Diamond, and Kresling foldcores. Sequential coupled thermal stress simulation and axial compression simulation with ABAQUS are implemented to aluminum CSS with the four kinds of foldcores, which are subjected to mono-direction heat flux. Moreover, the simulation results are compared with that of CSS with honeycomb core, and compared the thermal mechanical properties of different structures and different (N) (the number of unit cell in one circle). It is found that with the increase of (N), the thermal mechanical properties of CSS with Axial and Circumferential Miura foldcores become better. Besides, CSS with multi-layered foldcores exhibit more uniform temperature distribution, which is favored in design of satellite. In addition, the strength and the stiffness of CSS increase as (N) increases and are lower with mono-direction heat flux than without heat flux. Especially, CSS with two-layered Axial Miura foldcores exhibit better thermal–mechanical properties than all the other models.

折叠芯夹层结构在航空航天领域有着广泛的应用,在一定程度上被认为比蜂窝夹层结构更好。本文探讨了具有四种折叠芯的圆柱形夹层结构(CSS)的热机械性能,包括轴向三浦、周向三浦、金刚石和克雷斯林折叠芯。利用ABAQUS软件对四种折叠芯铝CSS在单向热流作用下的热应力序列耦合模拟和轴向压缩模拟进行了研究。此外,将模拟结果与蜂窝芯CSS的模拟结果进行了比较,并比较了不同结构和不同(N)(一个圆中的单元数)的热机械性能。研究发现,随着N的增加,具有轴向和周向Miura折叠芯的CSS的热机械性能变得更好。此外,具有多层折叠芯的CSS具有更均匀的温度分布,这在卫星设计中是有利的。此外,CSS的强度和刚度随着(N)的增加而增加,并且有单向热通量时比没有热通量时低。特别是,具有两层轴向Miura折叠芯的CSS比所有其他型号都表现出更好的热机械性能。
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引用次数: 0
A spatiotemporal transferable image fusion technique for GeoEye-1 satellite imagery GeoEye-1卫星图像的时空可转移图像融合技术
Q3 Earth and Planetary Sciences Pub Date : 2023-03-15 DOI: 10.1007/s42401-023-00208-7
Mohamed Elshora

This study proposed a novel technique to solve the problem of color distortion in the fusion of the GeoEye-1 satellite's panchromatic (PAN) and multispectral (MS) images. This technique suggested reducing the difference in radiometry between the PAN and MS images by using modification coefficients for the MS bands in the definition of the intensity (I) equation, which guarantees using only the overlapped wavelengths with the PAN band. These modification coefficients achieve spatiotemporal transferability for the proposed fusion technique. As the reflectance of vegetation is high in the NIR band and low in the RGB bands, this technique suggested using an additional coefficient for the NIR band in the definition of the I equation, which varies based on the ratio of the agricultural features within the image, to indicate the correct impact of vegetation. This vegetation coefficient provides stability for the proposed fusion technique across all land cover classes. This study used three datasets of GeoEye-1 satellite PAN and MS images in Tanta City, Egypt, with different land cover classes (agricultural, urban, and mixed areas), to evaluate the performance of this technique against five different standard image fusion techniques. In addition, it was validated using six additional datasets from different locations and acquired at different times to test its spatiotemporal transferability. The proposed fusion technique demonstrated spatiotemporal transferability as well as great efficiency in producing fused images of superior spatial and spectral quality for all types of land cover.

本研究提出了一种新的技术来解决GeoEye-1卫星全色(PAN)和多光谱(MS)图像融合中的颜色失真问题。该技术建议通过在强度(I)方程的定义中使用MS波段的修正系数来减少PAN和MS图像之间的辐射测量差异,这保证了仅使用与PAN波段重叠的波长。这些修改系数实现了所提出的融合技术的时空可转移性。由于植被的反射率在近红外波段较高,在RGB波段较低,因此该技术建议在I方程的定义中使用近红外波段的附加系数,该系数根据图像中农业特征的比例而变化,以指示植被的正确影响。该植被系数为所提出的融合技术在所有土地覆盖类别中提供了稳定性。本研究使用了埃及坦塔市不同土地覆盖类别(农业、城市和混合地区)的GeoEye-1卫星PAN和MS图像的三个数据集,以评估该技术与五种不同标准图像融合技术的性能。此外,还使用来自不同地点和在不同时间采集的六个额外数据集对其进行了验证,以测试其时空可转移性。所提出的融合技术证明了时空可转移性,并在为所有类型的土地覆盖生成具有卓越空间和光谱质量的融合图像方面具有很高的效率。
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引用次数: 0
Accident propensity assessment of Boeing 737 Aircraft variants using the Gompertz distribution model 使用Gompertz分布模型对波音737飞机变体的事故倾向评估
Q3 Earth and Planetary Sciences Pub Date : 2023-03-10 DOI: 10.1007/s42401-023-00202-z
Ayodele Adekunle Faiyetole

Aircraft is a socio-technical system with some unavoidable accidents due to its complexity. Although Boeing 737 Aircraft was the best-selling commercial airliner, a relatively new variant, Max 8, suffered two rapidly successive mishaps, serving as a motivation for this study. The propensity of 737 to accidents considering some predictors, is, therefore, objectified. Specifically, it examined accidents involving 737 Aircraft variants from 1970 to 2021. Cox proportional hazards regression model and Weibull distribution model were considered but Gompertz distribution models, with the best goodness-of-fit for the data, were applied to estimate Aircraft survival functions and hazard ratios, with interactions per airline, causes of accidents, and fatality rates. The study showed that the survivability of 737–100 outperformed all the other series, while Max 8 had a high hazard ratio when interacting with the airline operator factor, i.e., management or ownership. Reparameterization of Aircraft–predictor interactions show different significance levels in that airline management or ownerships contribute a long way to accidents. The high cost of Aircraft maintenance is a strong determinant of accidents. The reparameterized results further show that pilot errors significantly contribute to accidents. This investigation suggests that although two Max 8 failed with a 100% fatality rate, 737 was generally safe. The study concludes that the trend toward intuitive and accurate components diagnostics beyond the prognostic and health management approach should be invigorated. In addition, despite the rigorous certification process embarked upon by the FAA, it is suggested that intuitive human reliability analysis regarding the human–machine team, such as flight crews and pilots, and the human failure events be further entrenched in quantifying failure events.

飞机是一个社会技术系统,由于其复杂性,不可避免地会发生一些事故。尽管波音737飞机是最畅销的商用客机,但一种相对较新的变体Max 8遭遇了两次快速连续的事故,这也是本研究的动机。因此,考虑到一些预测因素,737发生事故的倾向是客观化的。具体而言,它调查了1970年至2021年间涉及737飞机变体的事故。考虑了Cox比例风险回归模型和威布尔分布模型,但Gompertz分布模型具有最佳的数据拟合优度,用于估计飞机的生存函数和风险比,包括每个航空公司的相互作用、事故原因和死亡率。研究表明,737–100的生存能力优于所有其他系列,而Max 8在与航空运营商因素(即管理或所有权)相互作用时具有较高的风险比。飞机的重新参数化——预测器的相互作用显示出不同的显著性水平,因为航空公司的管理或所有权在很大程度上导致了事故。飞机维修的高成本是事故的一个重要决定因素。重新参数化的结果进一步表明,飞行员的失误对事故有显著影响。这项调查表明,尽管两架Max 8失败,死亡率为100%,但737总体上是安全的。该研究得出的结论是,除了预后和健康管理方法之外,还应该推动直观准确的成分诊断趋势。此外,尽管美国联邦航空管理局开始了严格的认证程序,但建议在量化故障事件时,进一步巩固对人机团队(如机组人员和飞行员)和人为故障事件的直观的人为可靠性分析。
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引用次数: 1
Prediction noise of propeller on wing for distributed electric propulsion configuration 分布式电力推进结构机翼螺旋桨噪声预测
Q3 Earth and Planetary Sciences Pub Date : 2023-03-07 DOI: 10.1007/s42401-023-00194-w
Bolun Chen, Alexey Yakovlev, Petr Moshkov

This paper presents a fast way to predict the noise level of installed propeller on wing. Installing the propeller on wing has not only increased wing lift coefficient, but also greatly changed the noise direction. However, the precise prediction of noise level is a difficult and cumbersome, since the aerodynamic interaction effects are so complicated. But with a series of simplicity, here still can get a concise formulation, which is sufficient to evaluate the noise level of early design of propeller-driven aircraft.

本文提出了一种快速预测机翼螺旋桨噪声水平的方法。在机翼上安装螺旋桨不仅提高了机翼升力系数,而且极大地改变了噪声的方向。然而,由于空气动力学相互作用的影响非常复杂,精确预测噪声水平是一项困难和繁琐的工作。但经过一系列的简化,这里仍然可以得到一个简洁的公式,足以评估螺旋桨飞机早期设计的噪声水平。
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引用次数: 0
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Aerospace Systems
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