弱耦合星载天线结构动力学分析及振动控制研究
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摘要
近年来,通信、空间科学、对地观测特别是军事侦察技术的高速发展,对星载天线结构的尺寸和性能要求越来越高,从美国已经成功研发的五代电子侦察卫星主天线来看,星载天线的口径从最初的9米发展到了目前的150米。由于太阳风、宇宙碎片及发动机等外来因素会给天线结构带来冲击,因此,为提高星载天线的精度、使用寿命,对其进行动力学研究及振动控制十分必要。
星载天线普遍属于弱耦合循环周期结构,其动力学特性非常复杂,且随着口径的增大,天线结构的振动特性及振动主动控制的研究就更加成为一个难题。在众多难题中,考虑失谐的弱耦合星载天线结构的动力学特性及振动控制研究最为困难(失谐即生产及安装等过程中导致的天线各子结构存在的微小差异)。已有研究表明,微小失谐会对弱耦合周期结构的动力学特性产生较大的影响,使结构振动特性变得更为复杂,即出现振动模态局部化现象。这一现象已经由美国学者,与一直径为5.75米的天线的振动试验中得到验证,同时发现:尺寸愈大,这种现象出现的几率及严重程度愈大。
振动模态局部化对弱耦合星载天线结构产生的不利影响主要有以下几方面:1)对弱耦合星载天线结构的使用寿命、精度等带来严重影响;2)使相关的振动控制系统失效;3)影响传感器的测量,导致测不到期望值;4)在外激励下,使结构某些部件的响应幅值过大,而导致结构相应部件的疲劳破坏,进而引起整个系统的破坏。因而对其进行动力学分析及振动控制时必须考虑失谐的影响,这对保证天线结构的正常工作、发展空间通信、观测及军事侦察等方面都具有重要的意义。
本文在充分考虑结构失谐——这一严重影响弱耦合周期结构动力学特性因素的前提下,以弱耦合星载天线结构为研究对象,对其复杂的动力学特性及振动主动控制问题进行了系统的研究,主要研究内容及成果如下:
对失谐弱耦合星载天线结构进行了理论建模和有限元建模,研究了天线结构失谐前后的振动特性,结果表明弱耦合星载天线结构的动力学特性对失谐极为敏感,微小失谐会导致结构振动明显的局部化;采用传递矩阵法,对循环周期结构振动的Lyapunov指数进行了分析,解释了振动模态局部化现象产生的机理。
基于失谐星载天线结构理论模型,研究了结构参数失谐对循环周期结构动力学特性的影响,分析并得到了结构参数变化对弱耦合结构振动模态的影响规律;对各结构参数的变化及失谐情况的振动局部化因子进行了分析,得到了天线质量、肋刚度和肋间夹角的失谐对天线结构振动特性的影响与变化规律,以及天线膜刚度值的大小对天线结构动力学特性的影响规律,从振动的传播方面解释了振动模态局部化产生及变化的原因。
在充分考虑结构失谐的前提下,针对压电智能弱耦合星载天线结构的有限元模型,研究了结构振动的主动控制问题,发现失谐对结构为弱耦合情况时的影响较大,对非弱耦合情况影响较小;分别采用多种控制算法,对失谐结构的振动进行控制系统设计,分析了在弱耦合星载天线结构存在失谐时的振动控制方面,各种控制方法的优缺点,得到了适合解决失谐天线结构振动控制问题的方法。
针对弱耦合星载天线结构振动控制中的作动器位置优化设计问题进行了研究。以系统能量为目标,提出了一种改进的粒子群优化(IPSO,Improved Particle Swarm Optimization)算法。采用多种优化算法对作动器位置优化问题进行了仿真计算,验证了改进PSO算法的优点;经位置优化后作动器的控制效率得到了显著的提高。
Recent years, due to the high development of communications, space science, ground observation and reconnaissance technology, large space antennas with high capability on satellites is used more and more widely. Since the development of antennae on five generation satellites have been researched by America, the caliber of antenna goes from 9m to 150m. Due to the impulse on antenna induced by sun wind, astro-fragments and engine, it is indispensable to research dynamic characters and vibration control in order to improve the precision and lifetime of antenna structure.
Satellite structure is typical weak coupling cyclic periodic structure. The dynamic characters of the structure are very complicated, and vibration control of the structure becomes a quite difficult problem along with the caliber increasing. The vibration control of disordered weak coupling antenna is one of the most difficult problems. Many research results show that the dynamic characters of weak coupling periodic structures are affected obviously by small disorder and remarkable vibration mode localization can be produced. Vibration mode localization has been proved exiting in a 5.75m antenna by a vibration experiment conducted by America researchers, and probability of the localization appearing and awful affects have been confirmed becoming more seriously with bigger antenna.
The disadvantageous influences on weak coupling satellite antenna by vibration mode localization are mainly presented as follows:
1) Precision and lifetime of satellite antennas can be influenced greatly by this mode localization.
2) The vibration control system may be invalid by structural disorder.
3) The measurements of sensors may be wrong with disorder exiting.
4) The response of some substructure may be striking and the whole system will be damaged ultimately.
So the effects of disorder must be considered when carrying on the dynamic analysis of such structures. It is significant to research the effects of disorder for guaranteeing the normal working of antenna, developing space communications and observation and so on.
In the paper, with considering the effects of small disorder adequately, the dynamic characteristics, vibration control problem of weak coupling satellite antenna structure are studied as follows:
The dynamical model of weak coupling satellite antenna is established by applying theoretical method and finite element method, respectively. The dynamic characters of weak coupling periodic structures are analyzed. Results show that small disorder can induce remarkable vibration modes localization. The Lyapunov exponents are researched in detail for the purpose of finding the mechanism of vibration mode localization phenomenon and the reason of the spread differences between perfect structure and disordered structure vibrates.
Based on the theoretical model of weak coupling satellite antenna, effects on dynamic characters due to the disorder of parameters are investigated through lots of calculations. Local factors of disordered and perfect structure are computed under diversified situations of disorder, and the influence law and change trend of dynamic characters of antenna structures in satellites produced by stiffness and mass of antenna ribs, stiffness of antenna membranes and angles between adjacent ribs, are obtained ultimately.
Considering the effects of disorder, the vibration control is investigated based on the finite element model of piezoelectric smart weak coupling periodic satellite antenna. The effects on vibration control of cyclic periodic structure by disorder are learned. The results show week coupling structure is influenced by disorder obviously, whereas strong coupling structure is affected slightly. The vibration control system is designed applying diversiform control method, respectively. The advantages and disadvantages of those methods are presented, respectively.
With the intention of investigating the position optimization of sensors and actuators for satellite antenna structure, an improved particle swarm optimization (PSO) method is presented. The general energy of antenna system is regarded as the optimal target in the method. A numerical example is simulated by diversiform optimization method to optimize the positions of sensors and actuators, respectively. The results show the improved PSO method has merits of quick convergence and perfect accuracy, and the efficiency of controller is improved distinctly via position optimizing.
星载天线普遍属于弱耦合循环周期结构,其动力学特性非常复杂,且随着口径的增大,天线结构的振动特性及振动主动控制的研究就更加成为一个难题。在众多难题中,考虑失谐的弱耦合星载天线结构的动力学特性及振动控制研究最为困难(失谐即生产及安装等过程中导致的天线各子结构存在的微小差异)。已有研究表明,微小失谐会对弱耦合周期结构的动力学特性产生较大的影响,使结构振动特性变得更为复杂,即出现振动模态局部化现象。这一现象已经由美国学者,与一直径为5.75米的天线的振动试验中得到验证,同时发现:尺寸愈大,这种现象出现的几率及严重程度愈大。
振动模态局部化对弱耦合星载天线结构产生的不利影响主要有以下几方面:1)对弱耦合星载天线结构的使用寿命、精度等带来严重影响;2)使相关的振动控制系统失效;3)影响传感器的测量,导致测不到期望值;4)在外激励下,使结构某些部件的响应幅值过大,而导致结构相应部件的疲劳破坏,进而引起整个系统的破坏。因而对其进行动力学分析及振动控制时必须考虑失谐的影响,这对保证天线结构的正常工作、发展空间通信、观测及军事侦察等方面都具有重要的意义。
本文在充分考虑结构失谐——这一严重影响弱耦合周期结构动力学特性因素的前提下,以弱耦合星载天线结构为研究对象,对其复杂的动力学特性及振动主动控制问题进行了系统的研究,主要研究内容及成果如下:
对失谐弱耦合星载天线结构进行了理论建模和有限元建模,研究了天线结构失谐前后的振动特性,结果表明弱耦合星载天线结构的动力学特性对失谐极为敏感,微小失谐会导致结构振动明显的局部化;采用传递矩阵法,对循环周期结构振动的Lyapunov指数进行了分析,解释了振动模态局部化现象产生的机理。
基于失谐星载天线结构理论模型,研究了结构参数失谐对循环周期结构动力学特性的影响,分析并得到了结构参数变化对弱耦合结构振动模态的影响规律;对各结构参数的变化及失谐情况的振动局部化因子进行了分析,得到了天线质量、肋刚度和肋间夹角的失谐对天线结构振动特性的影响与变化规律,以及天线膜刚度值的大小对天线结构动力学特性的影响规律,从振动的传播方面解释了振动模态局部化产生及变化的原因。
在充分考虑结构失谐的前提下,针对压电智能弱耦合星载天线结构的有限元模型,研究了结构振动的主动控制问题,发现失谐对结构为弱耦合情况时的影响较大,对非弱耦合情况影响较小;分别采用多种控制算法,对失谐结构的振动进行控制系统设计,分析了在弱耦合星载天线结构存在失谐时的振动控制方面,各种控制方法的优缺点,得到了适合解决失谐天线结构振动控制问题的方法。
针对弱耦合星载天线结构振动控制中的作动器位置优化设计问题进行了研究。以系统能量为目标,提出了一种改进的粒子群优化(IPSO,Improved Particle Swarm Optimization)算法。采用多种优化算法对作动器位置优化问题进行了仿真计算,验证了改进PSO算法的优点;经位置优化后作动器的控制效率得到了显著的提高。
Recent years, due to the high development of communications, space science, ground observation and reconnaissance technology, large space antennas with high capability on satellites is used more and more widely. Since the development of antennae on five generation satellites have been researched by America, the caliber of antenna goes from 9m to 150m. Due to the impulse on antenna induced by sun wind, astro-fragments and engine, it is indispensable to research dynamic characters and vibration control in order to improve the precision and lifetime of antenna structure.
Satellite structure is typical weak coupling cyclic periodic structure. The dynamic characters of the structure are very complicated, and vibration control of the structure becomes a quite difficult problem along with the caliber increasing. The vibration control of disordered weak coupling antenna is one of the most difficult problems. Many research results show that the dynamic characters of weak coupling periodic structures are affected obviously by small disorder and remarkable vibration mode localization can be produced. Vibration mode localization has been proved exiting in a 5.75m antenna by a vibration experiment conducted by America researchers, and probability of the localization appearing and awful affects have been confirmed becoming more seriously with bigger antenna.
The disadvantageous influences on weak coupling satellite antenna by vibration mode localization are mainly presented as follows:
1) Precision and lifetime of satellite antennas can be influenced greatly by this mode localization.
2) The vibration control system may be invalid by structural disorder.
3) The measurements of sensors may be wrong with disorder exiting.
4) The response of some substructure may be striking and the whole system will be damaged ultimately.
So the effects of disorder must be considered when carrying on the dynamic analysis of such structures. It is significant to research the effects of disorder for guaranteeing the normal working of antenna, developing space communications and observation and so on.
In the paper, with considering the effects of small disorder adequately, the dynamic characteristics, vibration control problem of weak coupling satellite antenna structure are studied as follows:
The dynamical model of weak coupling satellite antenna is established by applying theoretical method and finite element method, respectively. The dynamic characters of weak coupling periodic structures are analyzed. Results show that small disorder can induce remarkable vibration modes localization. The Lyapunov exponents are researched in detail for the purpose of finding the mechanism of vibration mode localization phenomenon and the reason of the spread differences between perfect structure and disordered structure vibrates.
Based on the theoretical model of weak coupling satellite antenna, effects on dynamic characters due to the disorder of parameters are investigated through lots of calculations. Local factors of disordered and perfect structure are computed under diversified situations of disorder, and the influence law and change trend of dynamic characters of antenna structures in satellites produced by stiffness and mass of antenna ribs, stiffness of antenna membranes and angles between adjacent ribs, are obtained ultimately.
Considering the effects of disorder, the vibration control is investigated based on the finite element model of piezoelectric smart weak coupling periodic satellite antenna. The effects on vibration control of cyclic periodic structure by disorder are learned. The results show week coupling structure is influenced by disorder obviously, whereas strong coupling structure is affected slightly. The vibration control system is designed applying diversiform control method, respectively. The advantages and disadvantages of those methods are presented, respectively.
With the intention of investigating the position optimization of sensors and actuators for satellite antenna structure, an improved particle swarm optimization (PSO) method is presented. The general energy of antenna system is regarded as the optimal target in the method. A numerical example is simulated by diversiform optimization method to optimize the positions of sensors and actuators, respectively. The results show the improved PSO method has merits of quick convergence and perfect accuracy, and the efficiency of controller is improved distinctly via position optimizing.
引文
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