基于分形理论的航空发动机推力性能衰退规律
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摘要
考虑到航空发动机本身及影响因素的复杂性,从研究复杂系统的角度出发建立了基于De Wijs分形理论的航空发动机推力衰退模型,在此基础上对航空发动机的推力性能衰退规律进行了分析和研究.研究发现航空发动机使用过程中全加力状态推力的衰变具有生物体寿命衰退特征,并在一定程度上可用维数为0.761的De Wijs分形曲线近似.
Considering the complexity of aero-engine and influential factors,a deterioration model for engine thrust degradation was established with De Wijs fractal theory from the perspective of complex system.Aero-engine thrust deterioration rules was analyzed and investigated based on this model.It's found that the thrust deterioration in full afterburning condition is characterized by aging of organism,and can be modeled by the De Wijs fractal curve with fractal dimension of 0.761 to some extent.
Considering the complexity of aero-engine and influential factors,a deterioration model for engine thrust degradation was established with De Wijs fractal theory from the perspective of complex system.Aero-engine thrust deterioration rules was analyzed and investigated based on this model.It's found that the thrust deterioration in full afterburning condition is characterized by aging of organism,and can be modeled by the De Wijs fractal curve with fractal dimension of 0.761 to some extent.
引文
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[2]石博强,申炎华.机械故障诊断的分形方法[M].北京:冶金工业出版社,2001.SHI Boqiang,SHEN Yanhua.Fractal curve method of me-chanical failure diagnostic[M].Beijing:Metallurgy Indus-try Publishing,2001.(in Chinese)
[3]李舜酩,高德平.裂纹转子非线性振动特征的谐波小波与分形识别[J].航空动力学报,2004,19(5):581-586.LI Shunming,GAO Deping.Identification of non-liner vi-bration characteristics of cracked rotor using harmonicwavelet analysis and fractal theory[J].Journal of Aero-space Power,2004,19(5):581-586.(in Chinese)
[4]余波,李应红,张朴.关联维数和Kol mogorov熵在航空发动机故障诊断中的应用[J].航空动力学报,2006,21(1):217-224.YU Bo,LI Yinghong,ZHANG Pu.Application of correla-tion di mension and Kol mogorov entropyin aeroengine faultdiagnosis[J].Journal of Aerospace Power,2006,21(1):217-224.(in Chinese)
[5]何田,刘献东,李其汉.一种改进的航空发动机转静件碰磨故障诊断方法[J].航空动力学报,2008,23(6):1093-1097.HE Tian,LI U Xiandong,LI Qihan.I mprovedfault diagno-sis method for aero-engine rotor-sator rubs[J].Journal ofAerospace Power,2008,23(6):1093-1097.(in Chinese)
[6]何红.基于小波分形的飞机发动机早期故障模型研究与设计[D].西安:西北工业大学,2006.HE Hong.The forepart failure model investigation and de-sign of aero-engine based on wavelet[D].Xi an:North-western Industry University,2006.(in Chinese)
[7]李俊涛,张凤鸣,李永宾.耗散结构理论在飞机系统性能分析中的应用初探[J].微计算机信息,2006(25):186-188.LI Juntao,ZHANG Fengming,LI Yongbin.Preli minaryresearch on the application of dissipative structure theoryto performance analysis on aircraft system[J].Microcom-puter Information,2006(25):186-188.(in Chinese)
[8]高安秀树.分形维[M].沈步明,常子文,译.北京:地震出版社,1989.Takayasu H.Fractal di mension[M].Translated by SHENBuming,CHANG Zi wen.Beijing:Earthquake Press,1989.(in Chinese)
[9]董连科.分形理论及其应用[M].沈阳:辽宁科学技术出版社,1991.DONG Lianke.Fractal theory and application[M].Sheny-ang:Liaoning Technology Publishing,1991.(in Chinese)
[10]李天亮.航空发动机性能衰退规律研究及其诊断[D].西安:空军工程大学,2008.LI Tianliang.Research on performance deterioration of acertain aero engine[D].Xi an:Air Force Engineering Uni-versity,2008.(in Chinese)
[11]Sasahara O.JT9D engine/module performance deteriora-tion results from back to back testing[R].ISABE 85-7061,1985.
[12]Si mon D,Si mon D L.Aircraft turbofan engine health esti-mation using constrained Kal man filtering[R].ASME-GT2003-38584,2003.
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