Title of article :
Mathematical Model and Vibration Analysis of Aircraft with Active Landing Gear System using Linear Quadratic Regulator Technique
Author/Authors :
Toloei, A. Department of Aerospace Engineering - University of Shahid Beheshti, Tehran, Iran , Aghamirbaha, E. Department of Aerospace Engineering - University of Shahid Beheshti, Tehran, Iran , Zarchi, M. Department of Aerospace Engineering - University of Shahid Beheshti, Tehran, Iran
Abstract :
This paper deals with the study and comparison of passive and active landing gear system of the aircraft and dynamic responses due to runway irregularities while the aircraft is taxying. The dynamic load and vibration caused by the unevenness of runway will result in airframe fatigue, discomfort of passengers and the reduction of the pilot’s ability to control the aircraft. One of the objectives of this paper are to obtain a mathematical model for the passive and active landing gears for full aircraft model. The main porpuse of current paper is to design Linear Quadratic Regulator (LQR) for active landing gear system that chooses damping and stiffness performance of suspension system as control object. Sometimes conventional feedback controller may not perform well because of the variation in process dynamics due to nonlinear actuator in active control system, change in environmental conditions and variation in the character of the disturbances. To overcome the above problem, this research designs a controller for a second order system based on Linear Quadratic Regulator. The performance of active system is compared with the passive landing gear system by numerical simulation. The results of current paper in compared with the previous work mentioned in reference, demonstrate 37.04% improvement in body acceleration, 20% in fuselage displacement and 13.8% in the shock strut travel. The active landing gear system is able to increase the ride comfort and good track holding by reducing the fuselage acceleration and displacement and load induced to airframe caused by runway excitation.
Farsi abstract :
اﯾﻦ ﻣﻘﺎﻟﻪ ﺑﻪ ﺑﺮرﺳﯽ و ﻣﻘﺎﯾﺴﻪ ﭘﺎﺳﺦ دﯾﻨﺎﻣﯿﮑﯽ ﻫﻮاﭘﯿﻤﺎ ﺑﺎ ﺳﯿﺴﺘﻢ اراﺑﻪ ﻓﺮود ﻓﻌﺎل و ﻏﯿﺮ ﻓﻌﺎل ﺑﻪ ﺳﺒﺐ ﺑﯽ ﻧﻈﻤﯽ ﺑﺎﻧﺪ در ﺣﺎﻟﺖ ﺗﺎﮐﺴﯽ ﻫﻮاﭘﯿﻤﺎ ﻣﯽﭘﺮدازد. ﺑﺎر دﯾﻨﺎﻣﯿﮑﯽ و ارﺗﻌﺎﺷﯽ ﺑﺮ اﺛﺮ ﺿﺮﺑﻪ ﻓﺮود و ﻧﺎﻫﻤﻮاري ﺑﺎﻧﺪ ﺑﻪ ﺧﺴﺘﮕﯽ ﺑﺪﻧﻪ، ﻧﺎراﺣﺘﯽ ﻣﺴﺎﻓﺮان و ﮐﺎﻫﺶ ﺗﻮاﻧﺎﯾﯽ ﺧﻠﺒﺎن ﺑﺮاي ﮐﻨﺘﺮل ﻫﻮاﭘﯿﻤﺎ ﻣﻨﺠﺮ ﺧﻮاﻫﺪ ﺷﺪ. ﯾﮑﯽ از اﻫﺪاف اﯾﻦ ﻣﻘﺎﻟﻪ ﺑﻪ دﺳﺖ آوردن ﯾﮏ ﻣﺪل رﯾﺎﺿﯽ ﺑﺮاي اراﺑﻪ ﻓﺮود ﻓﻌﺎل و ﻏﯿﺮ ﻓﻌﺎل ﺑﺮاي ﻣﺪل ﻫﻮاﭘﯿﻤﺎي ﮐﺎﻣﻞ اﺳﺖ. ﻫﺪف اﺻﻠﯽ ﻣﻘﺎﻟﻪ ﺣﺎﺿﺮ ﻃﺮاﺣﯽ ﺗﮑﻨﯿﮏﻫﺎي ﺗﻨﻈﯿﻢ ﮐﻨﻨﺪه ﺧﻄﯽ درﺟﻪ دوم ﺑﺮاي ﺳﯿﺴﺘﻢ اراﺑﻪ ﻓﺮود ﻓﻌﺎل اﺳﺖ ﮐﻪ ﻋﻤﻠﮑﺮد ﻣﯿﺮاﯾﯽ و ﺳﺨﺘﯽ ﺳﯿﺴﺘﻢ ﺗﻌﻠﯿﻖ را ﺑﻪ ﻋﻨﻮان ﻫﺪف ﮐﻨﺘﺮﻟﯽ اﻧﺘﺨﺎب ﻣﯽﮐﻨﺪ. ﮔﺎﻫﯽ اوﻗﺎت ﮐﻨﺘﺮﻟﺮ ﻓﯿﺪﺑﮏ ﻣﻌﻤﻮﻟﯽ ﺑﻪ دﻟﯿﻞ ﺗﻐﯿﯿﺮ در دﯾﻨﺎﻣﯿﮏ ﻓﺮاﯾﻨﺪ ﺑﺎ ﺗﻮﺟﻪ ﺑﻪ ﻣﺤﺮك ﻏﯿﺮﺧﻄﯽ در ﺳﯿﺴﺘﻢ ﮐﻨﺘﺮل ﻓﻌﺎل، ﺗﻐﯿﯿﺮ ﺷﺮاﯾﻂ ﻣﺤﯿﻄﯽ و ﺗﻐﯿﯿﺮ در ﺧﺼﻮﺻﯿﺎت اﻏﺘﺸﺎﺷﺎت ﻧﻤﯽﺗﻮاﻧﺪ ﻋﻤﻠﮑﺮد ﺧﻮﺑﯽ داﺷﺘﻪ ﺑﺎﺷﺪ. ﺑﺮاي ﻏﻠﺒﻪ ﺑﺮ ﻣﺸﮑﻞ ﻓﻮق، اﯾﻦ ﺗﺤﻘﯿﻖ ﯾﮏ ﮐﻨﺘﺮل ﮐﻨﻨﺪه ﺑﺮاي ﯾﮏ ﺳﯿﺴﺘﻢ ﻣﺮﺗﺒﻪ دوم را ﻃﺮاﺣﯽ ﻣﯽﮐﻨﺪ. ﻋﻤﻠﮑﺮد ﺳﯿﺴﺘﻢ ﻓﻌﺎل ﺑﺎ ﺳﯿﺴﺘﻢ اراﺑﻪ ﻓﺮود ﻏﯿﺮﻓﻌﺎل از ﻃﺮﯾﻖ ﺷﺒﯿﻪ ﺳﺎزي ﻋﺪدي ﻣﻮرد ﻣﻘﺎﯾﺴﻪ ﻗﺮار ﮔﺮﻓﺘﻪ اﺳﺖ. ﻧﺘﺎﯾﺞ ﻣﻘﺎﻟﻪ ﺣﺎﺿﺮ در ﻣﻘﺎﯾﺴﻪ ﺑﺎ ﮐﺎر ﻗﺒﻠﯽ اﺷﺎره ﺷﺪه در ﻣﺮﺟﻊ ﻧﺸﺎن ﻣﯽدﻫﺪ 37/04% ﺑﻬﺒﻮد در ﺷﺘﺎب ﺑﺪﻧﻪ، 20% در ﺟﺎﺑﻪﺟﺎﯾﯽ ﺑﺪﻧﻪ و13/8% در ﮐﻮرس ﺿﺮﺑﻪﮔﯿﺮ دارد. ﺑﺎ ﺳﯿﺴﺘﻢ اراﺑﻪ ﻓﺮود ﻓﻌﺎل ﺑﻪ ﻃﻮر ﻗﺎﺑﻞ ﺗﻮﺟﻬﯽ راﺣﺘﯽ ﻣﺴﺎﻓﺮ و ﮐﯿﻔﯿﺖ ﻫﺪاﯾﺖ ﺧﻠﺒﺎن ﺑﺎ ﮐﺎﻫﺶ ﺷﺘﺎب ﺑﺪﻧﻪ، ﮐﺎﻫﺶ ﺟﺎﺑﺠﺎﯾﯽ ﻋﻤﻮدي ﺑﺪﻧﻪ و ﻧﯿﺮوي وارد ﺑﺮ ﺑﺪﻧﻪ ﻫﻮاﭘﯿﻤﺎ ﻧﺎﺷﯽ از اﻏﺘﺸﺎش ﺑﺎﻧﺪ اﻓﺰاﯾﺶ ﯾﺎﻓﺘﻪ اﺳﺖ
Keywords :
Linear Quadratic Regulator Controller , Full Aircraft Model , Active Landing Gear System , Suspension System
Journal title :
International Journal of Engineering