Modeling, equilibrium and stability for double balloon system with tether and net
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摘要: 为研究一种双系缆气球绳网系统的气球、绳网的设计问题和系统抗风能力的评估问题,建立了考虑风影响的双系缆气球绳网系统的数学模型,其中包括在体轴系下建立的气球的数学模型、根据无限细化理论建立的系缆的数学模型和按照一定的简化假设建立的绳网的数学模型;在配平状态下引入小扰动假设,使非线性方程组线化,并分析了该系统对阶跃风扰动的响应和稳定性.仿真计算结果表明该系统的设计合理并具有一定的抗风能力.Abstract: To study the design problem and evaluate the resisting wind ability for a double balloon system with tether and net, the mathematical model of the system was established consider of the effect of wind, it includes the balloon’s mathematical model in the body-coordinate system, tether’s mathematical model based on non-limit analyze theory and the net’s mathematical model according as some assumptions. The nonlinear equations was linearized based on small disturbance assumption in the state of equilibrium. The response and stability of the double balloon system was analyzed with step wind input. The simulative results show that the design of the double balloon system is reasonable and the system is considerable for resisting wind.
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Key words:
- flight mechanics /
- mathematical models /
- stability /
- tethered balloon
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[1] 焦志强. 系缆气球气动力、动稳定性及大气扰动响应 . 北京:北京航空航天大学航空科学与工程学院,2003 Jiao Zhiqiang. Aerodynamic estimation stability and dynamics repouse for a tethered balloon .BeiJing:School of Aeronautic Science and Technology, Beijing University of Aeronautics and Astronautics,2003 [2] Jones S P,DeLaurier J D. Aerodynamic estimation techniques for aerostats and airships . AIAA-81-1339,1981 [3]Jones S P. Aerodynamics of a new aerostat design with inverted-y fins . AIAA 85-0867-CP, 1985
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