一种转子叶片的有限元建模方法及验证
|
摘要
采用有限元法建立了一个单转子模型。将不同长度的叶片简化为质量单元,研究其对模型临界转速计算结果的影响。结果表明,当叶片长度很短时,简化为质量单元建模对计算结果影响不大,当叶片长度很长时对计算结果影响非常大。分析了叶片简化对结果影响的原因,在此基础上提出了将大量薄叶片简化为少量厚叶片的建模方法,此方法在保证结果准确的前提下,有效地将有限元模型缩减了33%。
With the finite element method,a single rotor model is established in the paper. The paper studies the rotor model blades of different lengths are simplified to mass elements and the effects of this simplification on critical speed calculation results. The results showthat,when the length of the blade is very short,the effect of mass element simplification on the calculation results is very small and neglectable,but when the blade is in great length,there is fundamental impact on the calculation results and must be taken into account. Based on the analysis of the reasons why the mass element simplification of blade influences the results,the modeling method is proposed to replace the large quantity of thin blades with fewer thick blades.With this modeling method,the scale of the finite element model is reduced effectively 33% while the calculation precision remains the same.
With the finite element method,a single rotor model is established in the paper. The paper studies the rotor model blades of different lengths are simplified to mass elements and the effects of this simplification on critical speed calculation results. The results showthat,when the length of the blade is very short,the effect of mass element simplification on the calculation results is very small and neglectable,but when the blade is in great length,there is fundamental impact on the calculation results and must be taken into account. Based on the analysis of the reasons why the mass element simplification of blade influences the results,the modeling method is proposed to replace the large quantity of thin blades with fewer thick blades.With this modeling method,the scale of the finite element model is reduced effectively 33% while the calculation precision remains the same.
引文
[1]白中祥.小型燃气轮机转子动力特性研究[D].上海:上海交通大学,2012.
[2]JAMES T,CHARLES L,JONATHAN L.Reduced-order modeling and w avelet analysis of turbofan engine structural response due to foreign object damage(FOD)events[J].Journal of Engineering for Gas Turbines and Pow er,2007,129(3):814-826.
[3]陈萌,马艳红,刘书国,等.航空发动机整机有限元模型转子动力学分析[J].北京航空航天大学学报,2007,33(9):1014-1016.
[4]张力,洪杰,马艳红.航空发动机转子系统建模方法和振动特性分析[J].北京航空航天大学学报,2013,39(2):148-163.
[5]王超,王延荣,徐星仲,等.应用三维有限元法计算汽轮机转子临界转速和模化长叶片[J].动力工程,2007,27(6):840-844.
[6]梅庆.二维有限元模型在燃气轮机转子-支承系统临界转速计算中的应用[J].燃气涡轮试验与研究,2003,16(3):42-44.
[7]HSIAO-WEI D.CHIANG,CHIH-NENG HSU,SHUN-HSU TU.Rotor-bearing analysis for turbomachinery single-and dual-rotor systems[J].Journal of Propulsion and Pow er,2004,20(6):1096-1104.
[8]钟一锷,何衍宗.转子动力学[M].北京:清华大学出版社,1989.
[9]缪辉,王克明,翟学,等.反向旋转双转子系统动力学特性的有限元分析[J].沈阳航空航天大学学报,2011,28(4):27-31.
[10]张利民,王克明,吴志广.利用ANSYS进行转子临界转速计算[J].沈阳航空航天大学学报,2010,27(5):34-37.
[11]张婷婷,王克明,孙阳,等.温度场对双转子系统动力特性影响的分析[J].沈阳航空航天大学学报,2013,30(1):34-38.
[12]刘长福,邓明.航空发动机结构分析[M].西安:西北工业大学出版社,2006.
[13]朱向哲,贺威,袁惠群.稳态温度场对转子系统振动特性的影响[J].东北大学学报(自然科学版),2008,29(1):113-116.
[14]艾书民,王克明,缪辉,等.稳态温度场作用下涡轮叶片振动特性的研究[J].沈阳航空航天大学学报,2011,28(4):17-21.
[15]李玲玲,王克明.某型航空发动机后支承动刚度的有限元计算[J].沈阳航空航天大学学报,2007,24(3):5-7.
[2]JAMES T,CHARLES L,JONATHAN L.Reduced-order modeling and w avelet analysis of turbofan engine structural response due to foreign object damage(FOD)events[J].Journal of Engineering for Gas Turbines and Pow er,2007,129(3):814-826.
[3]陈萌,马艳红,刘书国,等.航空发动机整机有限元模型转子动力学分析[J].北京航空航天大学学报,2007,33(9):1014-1016.
[4]张力,洪杰,马艳红.航空发动机转子系统建模方法和振动特性分析[J].北京航空航天大学学报,2013,39(2):148-163.
[5]王超,王延荣,徐星仲,等.应用三维有限元法计算汽轮机转子临界转速和模化长叶片[J].动力工程,2007,27(6):840-844.
[6]梅庆.二维有限元模型在燃气轮机转子-支承系统临界转速计算中的应用[J].燃气涡轮试验与研究,2003,16(3):42-44.
[7]HSIAO-WEI D.CHIANG,CHIH-NENG HSU,SHUN-HSU TU.Rotor-bearing analysis for turbomachinery single-and dual-rotor systems[J].Journal of Propulsion and Pow er,2004,20(6):1096-1104.
[8]钟一锷,何衍宗.转子动力学[M].北京:清华大学出版社,1989.
[9]缪辉,王克明,翟学,等.反向旋转双转子系统动力学特性的有限元分析[J].沈阳航空航天大学学报,2011,28(4):27-31.
[10]张利民,王克明,吴志广.利用ANSYS进行转子临界转速计算[J].沈阳航空航天大学学报,2010,27(5):34-37.
[11]张婷婷,王克明,孙阳,等.温度场对双转子系统动力特性影响的分析[J].沈阳航空航天大学学报,2013,30(1):34-38.
[12]刘长福,邓明.航空发动机结构分析[M].西安:西北工业大学出版社,2006.
[13]朱向哲,贺威,袁惠群.稳态温度场对转子系统振动特性的影响[J].东北大学学报(自然科学版),2008,29(1):113-116.
[14]艾书民,王克明,缪辉,等.稳态温度场作用下涡轮叶片振动特性的研究[J].沈阳航空航天大学学报,2011,28(4):17-21.
[15]李玲玲,王克明.某型航空发动机后支承动刚度的有限元计算[J].沈阳航空航天大学学报,2007,24(3):5-7.