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系留气球刚柔耦合系统应变集中效应仿真分析
Simulation Analysis of Strain Concentration Effect in Rigid-Flexible Coupling System of Tethered Balloon
邬军;罗海波;杨燕初;马子非;刘晓勇; WU Jun;LUO Haibo;YANG Yanchu;MA Zifei;LIU Xiaoyong;针对系留气球与吊舱之间存在刚柔耦合连接而引起的应变集中问题,采用ABAQUS与理论模型相结合的方式对其进行力学分析,提出一种加强过渡层策略来降低结构连接处的应变集中效应,从而提高系留气球系统的安全性与实用性。首先,基于经典力学理论得到了系留气球囊体结构的应力分布理论解,并结合本构方程提出织物材料正交模量设计准则;然后,对刚柔耦合系统力学仿真模型的计算结果进行分析,提出等效应变集中因子,研究了附加重载质量、囊体内外压差及材料对应变集中效应的影响机理;最后,为缓解应变集中效应,提出一种局部加厚的囊体过渡层设计策略。仿真结果表明:对于无吊舱的系留气球,其环向应力约为轴向应力的2倍,因此采用正交方向模量比为2的各向异性织物材料更为合适;采用Vectran纤维复合材料作为囊体材料和碳纤维材料作为吊舱结构件材料时,其综合承载能力最佳;在承载1 t重载荷情况下,采用加强过渡层设计策略的系留气球刚柔耦合系统的应变集中因子下降11.3%,可有效提高系留气球的承载能力与结构可靠性,为未来新型浮空器系统的设计提供了理论参考,从而推动系留气球的安全应用。
To address the strain concentration caused by a rigid-flexible coupling connection between a tethered balloon and compartment, a mechanical analysis was conducted by combining ABAQUS with theoretical models. A strategy for strengthening the transition layer was proposed to effectively reduce the strain concentration at the structural connection, thereby enhancing the safety and practicality of the tethered balloon system. First, based on the classical mechanical theory, a theoretical solution for stress distribution of the bladder structure of the tethered balloon was obtained, and a design criterion for the orthogonal modulus of fabric materials was proposed in combination with constitutive equations. Subsequently, the calculation results of the mechanical simulation model of the rigid-flexible coupling system were analyzed, and an equivalent strain concentration factor was introduced. The influence mechanisms of additional heavy-load mass, internal-external pressure difference of the bladder, and material on the strain concentration effect were investigated. Finally, to alleviate the strain concentration effect, a locally thick-ened bladder transition layer design strategy was proposed. Simulation results show that for tethered balloons without compartment, the circumferential stress is approximately twice the axial stress, making anisotropic fabric materials with an orthogonal modulus ratio of two more suitable. Using Vectran fiber composites as the bladder base material and carbon fiber as the compartment structural components yields the best overall load-bearing capacity. Under a 1-ton heavy load, the strain concentration factor of the rigid-flexible coupling system of the tethered balloon with the reinforced transition layer design decreases by 11.3%, effectively improving the load-bearing capacity and structural reliability of the tethered balloon. The proposed optimization strategy can provide theoretical guidance for the design of new types of aerostat systems in future, and promote the safe application of tethered balloons.
新型低成本聚乙烯飞艇设计及应用前景分析
Design and Application Prospects of a Novel Low-Cost Polyethylene Airship
张航悦;赵荣;曹胜鸿;祝榕辰;杨燕初;蔡榕; ZHANG Hangyue;ZHAO Rong;CAO Shenghong;ZHU Rongchen;YANG Yanchu;CAI Rong;为有效应对平流层织物飞艇“体积与重量发散、温压与囊体强度发散”的矛盾,提出以线性低密度聚乙烯薄膜为气囊的流线型飞艇架构。凭借聚乙烯飞艇在艇体重量、承受压差及成本等方面的优势,在设计上围绕耐超压结构、尾翼及发放方式展开研究。首先,建立正交加强筋-球膜耦合模型,以横向约束下的二维母线变形为输入,得到最优周向加强筋间距。取单幅球膜在施加对称约束后的整艇变形及局部鼓包变形进行分析,得出局部曲率半径减小后的鼓包外形及受力。其次,设计多气囊堆叠尾翼,通过横向、纵向与垂向三向加强筋实现聚乙烯尾翼耐超压结构。最后,针对聚乙烯飞艇不易实现非成形发放的难题,采用内部隔膜与外敷绳笼方案,并通过外场试验验证了其可行性。在应用方面,以未来实现平流层中上部飞行、组合气球、高空系留气球以及低空经济方面为例进行讨论,为相关应用提供了低成本、可扩展的技术路径。
To effectively address the contradiction between the volume versus weight divergence and temperature versus strength divergence of stratospheric fabric airships, a streamlined airship architecture with linear low-density polyethylene membrane was proposed. Based on the advantages of polyethylene airships in terms of lightweight, pressure tolerance, and low cost, researches focused on the design of super-pressure resistant structures, tail fins and launching methods. First, an orthogonal tendons-membrane coupled model was established to consider the twodimensional generatrix deformation under lateral constraints as input, to obtain the optimal circumferential tendons spacing. The global deformation and local bulge of a single gore after applying symmetrical constraints were analyzed to obtain the bulge shape and stress after the local curvature radius reduction. Subsequently, a multi-airbag stacked tail fin was designed to achieve a super-pressure-resistant polyethylene structure through transverse, longitudinal, and vertical tendons. Finally, an internal interlayer and external rope cage scheme were adopted to address the difficulties of achieving non-forming launching of polyethylene airships, and its feasibility was verified through field flight experiments. Future research can focus on the realization of mid-to-upper stratosphere flight, combination balloons, high-altitude tethered balloons, and low-altitude economy, providing low-cost and scalable technological paths for related applications.
短纤维增强复合材料热膨胀系数预测方法
Prediction Method of the Coefficients of Thermal Expansion of Short-Fiber-Reinforced Composites
管涛;刘全秀;郭方亮;李元庆;付绍云; GUAN Tao;LIU Quanxiu;GUO Fangliang;LI Yuanqing;FU Shaoyun;为准确评估短纤维增强复合材料的热膨胀性能,以热力学理论推导的单向层压板热膨胀系数解析公式为基础,结合取向概率密度函数与长度概率密度函数,建立了适用于该类材料的热膨胀系数(coefficient of thermal expansion,CTE)预测模型。首先,基于该模型,系统分析了纤维平均取向角、平均长度及体积分数等纤维分布特征对CTE的影响规律。然后,分别通过挤出-注塑、溶液-注塑和悬浮液-注塑工艺制备短纤维增强复合材料,利用图像分析法统计纤维取向分布,采用热解法统计纤维长度分布。最后,将所得数据代入模型后,把预测值与实验结果进行对比验证。结果表明:纵向CTE随纤维平均长径比和体积分数的增加而降低,随平均取向角的增大而升高;横向CTE随平均取向角和体积分数的增加而下降,随平均长径比的增大而上升;纤维平均取向角和体积分数对短纤维增强复合材料CTE的影响显著大于纤维平均长径比;纤维平均取向角和平均长度均随纤维体积分数的提高而减小。挤出-注塑工艺制备的复合材料平均纤维长度为107.9μm,而溶液-注塑工艺和悬浮液-注塑工艺制备的复合材料的平均纤维长度分别为139.0μm和206.6μm。所提模型的理论预测与实验数据间具有良好的一致性,说明其可为短纤维增强复合材料的优化设计提供有效建议。
To accurately evaluate the thermal-expansion property of short-fiber-reinforced composites, a predictive model for the coefficient of thermal expansion(CTE)was developed.The model was based on an analytical solution for unidirectional laminates derived from thermodynamic theory and incorporated orientation and length probability density functions. First, the effects of fiber distribution characteristics, such as mean orientation angle, mean length, and volume fraction, on the CTE were systematically investigated using this model. Subsequently, shortfiber-reinforced composites were fabricated using extrusion injection, solution injection, and suspension injection moldings. The fiber orientation distribution was quantified using image analysis,and the fiber length distribution was determined via pyrolysis. Finally, the resulting data were input into the model, and the predicted CTE values were validated using experimental data. The results show that the longitudinal CTE decreases with increasing mean aspect ratio and volume fraction but increases with increasing mean orientation angle, whereas the transverse CTE decreases with increasing mean orientation angle and volume fraction yet increases with increasing mean aspect ratio. The mean orientation angle and volume fraction exert significantly stronger influences on the composite CTE than the mean aspect ratio. Both the mean orientation angle and mean fiber length decrease as the fiber volume fraction increases. The mean fiber length of the extrusion injection-molded specimen is 107.9 μm, while those of the solution injection and suspension injection molded specimens are 139.0 μm and 206.6 μm, respectively. The excellent agreement between the theoretical predictions of the proposed model and the experimental results demonstrates the reliability of the model and provides effective guidance for the optimal design of short-fiber-reinforced composites.
间歇通信条件下双层编队四旋翼无人机集群跟踪控制
Two-Layer Formation Tracking Control of Quadrotor Unmanned Aerial Vehicle Swarms under Intermittent Communication
高久安;李冰;席建祥;王乐;王成; GAO Jiuan;LI Bing;XI Jianxiang;WANG Le;WANG Cheng;First Military Representative Office of the Rocket Force Equipment Department in Mianyang;针对四旋翼无人机集群编队跟踪控制过程中的复杂通信约束问题,提出间歇通信条件下多领导者双层编队四旋翼无人机集群跟踪控制方法。首先,对间歇通信条件进行了数学描述并建立了四旋翼无人机的动力学模型,给出了四旋翼无人机集群可实现双层时变编队跟踪控制的条件;其次,构建了间歇型双层时变编队跟踪控制器,基于线性矩阵不等式提出间歇通信条件下的双层时变编队设计与分析判据;最后,基于一个由3架领导者和6架跟随者组成的多领导者四旋翼无人机集群系统开展仿真试验。结果表明:该集群系统可实现间歇通信条件下的双层时变编队跟踪控制,在多无人机之间的通信连通时,领导者和跟随者可分别形成各自期望的时变编队队形,并且跟随者可跟踪到由所有领导者决定的编队中心;在多无人机之间的通信断开时,控制器中的自反馈项使无人机受控,仿真结果展现出较好的编队性能和跟踪性能。
A dual-layer time-varying formation tracking control method for quadrotor unmanned aerial vehicle(UAV)swarms under intermittent communication was proposed to address the challenges posed by complex communication constraints among UAVs. First, the intermittent communication condition was mathematically described, and a quadrotor UAV model was established. The conditions for achieving dual-layer time-varying formation-tracking control in quadrotor UAV swarms were then derived. Subsequently, an intermittent dual-layer time-varying formation-tracking controller was designed, and a design and analysis criterion under intermittent communication was introduced based on linear matrix inequalities. Finally, simulation experiments were conducted using a multi-leader quadrotor UAV swarm system comprising three leaders and six followers. The results demonstrate that the swarm system can achieve a dual-layer time-varying formation-tracking control under intermittent communication. When communication is connected, both leaders and followers can form their desired time-varying formations, with followers tracking the formation center determined by the leaders. When the communication is interrupted,the self-feedback term of the controller ensures that the UAVs remain controllable. The simulation results verify strong formation and tracking performance of the proposed method.
联合灰色模型与一阶加权局域法的卫星钟差中短期预报
Short and Medium-Term Prediction of Satellite Clock Bias Combining Grey Model and First-Order Weighted Local Method
于烨;杨朝攀;金国栋;赵建伟; YU Ye;YANG Chaopan;JIN Guodong;ZHAO Jianwei;为提高单一模型卫星钟差预报的精度和稳定度,提出了一种灰色模型与一阶加权局域法组合的卫星钟差预报方法。首先,采用db1小波对卫星钟差进行三层多尺度分解和单支重构,得到一项近似分量和三项细节分量;然后,采用灰色模型对近似分量和一阶加权局域法对细节分量分别进行预报;最后,将各分量的预报结果对应相加即可得到卫星钟差的最终预报值。采用武汉大学GNSS分析中心发布的精密卫星钟差产品,随机选取10颗Galileo卫星的钟差数据进行预报实验。结果表明:在2、4、6 h预报时,该模型相比于灰色模型的预报精度分别提高了50.00%、64.66%、60.48%,稳定度分别提高了18.07%、23.19%、32.51%;在改变建模数据量和预报长度时,该模型的预报精度和稳定度均显著高于其他单一模型,其预报精度和稳定度最大可以提高85.67%和89.28%,验证了该组合模型在卫星钟差预报方面的有效性和可行性。
A method for satellite clock bias(SCB)prediction combining the grey model and first-order weighted local method was proposed to improve the accuracy and stability of SCB prediction based on a single model. First, a db1 wavelet was used to perform a three-layer multiscale decomposition and single-branch reconstruction of the SCB, obtaining an approximate component and three detailed components. Subsequently, the grey model was adopted to predict the approximate components, and the first-order weighted local method was used to predict the detailed components, respectively. Finally, the predicted values of all components were added to obtain the final predicted value of the SCB. The clock bias data of ten Galileo satellites were randomly selected for prediction experiments using precision SCB products released by the GNSS Analysis Center of Wuhan University. The results show that in the 2 h, 4 h and 6 h predictions,the prediction accuracy of this combined model increases by 50.00%, 64.66% and 60.48%, respectively, while the stability increases by 18.07%, 23.19% and 32.51%, respectively, compared with those of the grey model. When the amount of modeling data and prediction length were changed, the prediction accuracy and stability of the combined model are significantly improved compared with those of other single models. Its prediction accuracy and stability can be increased by up to 83.12% and 86.28%, respectively. Thus, the effectiveness and feasibility of the combined model for SCB prediction are verified.