| Citation: | WANG Yongfu, ZHU Keyi, LE Meiyu, et al. Load distribution model and experimental validation for APU installation system based on Gap element[J]. Journal of Aerospace Power, 2026, 41（7）：20250361 doi: 10.13224/j.cnki.jasp.20250361
|
Taking the static strength design of an auxiliary power unit (APU) installation system for a specific aircraft model as an example, a load distribution model based on Gap elements was proposes. The nonlinearity in the contact between the APU body, mounting tie rods, and vibration isolators were considered. Comparisons with the results from the solid finite element model of the APU installation system vibration isolator demonstrated the effectiveness of the Gap element-based load distribution model. Concurrently a static test plan for the APU installation system was established. To ensure high consistency between the simulation and test models, the APU mounting tie rods were calibrated, and the stiffness of the vibration isolators was tested. Under selected severe load cases and comparing with the test results, the strain of the tie rod was above 100 με. The minimum difference between the strain of the tie rod calculated by Gap element-based load distribution model of the APU mounting system and the test results was 4.6%, and the maximum difference was 7.5%. The minimum difference between the strain of the tie rod calculated by the solid modeling and the test results was 9.4%, and the maximum difference was 11.2%. Comparisons with test results further illustrated the accuracy of the Gap element-based load distribution model for the APU installation system. This model improved the calculation accuracy of load distribution values and modeling efficiency for the APU installation system, providing an effective modeling approach for simulating contact interactions between vibration isolator assemblies.
| [1] |
EBRAHIMI H, GATABI J R, EL-KISHKY H. An auxiliary power unit for advanced aircraft electric power systems[J]. Electric Power Systems Research, 2015, 119: 393-406. doi: 10.1016/j.jpgr.2014.10.023
|
| [2] |
常博博, 苏三买, 刘铁庚, 等. 辅助动力装置建模及数值仿真[J]. 航空动力学报, 2011, 26(9): 2122-2127. CHANG Bobo, SU Sanmai, LIU Tiegeng, et al. Model and numerical simulation of auxiliary power unit[J]. Journal of Aerospace Power, 2011, 26(9): 2122-2127. (in Chinese doi: 10.13224/j.cnki.jasp.2011.09.032
CHANG Bobo, SU Sanmai, LIU Tiegeng, et al. Model and numerical simulation of auxiliary power unit[J]. Journal of Aerospace Power, 2011, 26(9): 2122-2127. (in Chinese) doi: 10.13224/j.cnki.jasp.2011.09.032
|
| [3] |
中国民用航空局. 中国民用航空规章第25部: 运输类飞机适航标准: CCAR-25[S]. 北京: 中华人民共和国交通运输部, 2011: 42-68. Civil Aviation Administration of China. Civil Aviation Regulations of China, Part25: Airworthiness Standards for Transport Category Airplanes: CCAR-25[S]. Beijing: Ministry of Transport of the People’s Republic of Ch-ina, 2011: 42-68. (in Chinese
Civil Aviation Administration of China. Civil Aviation Regulations of China, Part25: Airworthiness Standards for Transport Category Airplanes: CCAR-25[S]. Beijing: Ministry of Transport of the People’s Republic of Ch-ina, 2011: 42-68. (in Chinese)
|
| [4] |
《飞机设计手册》总编委会. 飞机设计手册: 第9册 载荷、强度和刚度[M]. 北京: 航空工业出版社, 2011. Aircraft Design Manual Board. Aircraft design manual: the 9th copies Load, strength and stiffness [M]. Beijing: Aviation Industry Press, 2011. (in Chinese
Aircraft Design Manual Board. Aircraft design manual: the 9th copies Load, strength and stiffness [M]. Beijing: Aviation Industry Press, 2011. (in Chinese)
|
| [5] |
SAVELA G, MATHURIA P H, TAUBLER J E, et al. Finite element analysis of APUmounting (3-2-1) in aircraft helicopter application using lumped mass modal analysis[C]//Proceedings of the ASME Turbo Expo. Boston, US: American Society of Mechanical Engineers, 2023: V11BT27A014.
|
| [6] |
黄飞, 姚平安, 缪志松. 拉杆吊挂式辅助动力装置安装系统设计[J]. 航空科学技术, 2017, 28(6): 26-29. HUANG Fei, YAO Pingan, MIU Zhisong. Design of strut suspended APU mounting system[J]. Aeronautical Science and Technology, 2017, 28(6): 26-29. (in Chinese doi: 10.19452/j.issn1007-5453.2017.06.026
HUANG Fei, YAO Pingan, MIU Zhisong. Design of strut suspended APU mounting system[J]. Aeronautical Science and Technology, 2017, 28(6): 26-29. (in Chinese) doi: 10.19452/j.issn1007-5453.2017.06.026
|
| [7] |
JIANG Xianghua, DU Ran. Optimal design aircraft engine mount systems[J]. Procedia Engineering, 2015, 99: 1297-1301. doi: 10.1016/j.proeng.2014.12.662
|
| [8] |
胡锦旋, 唐宏刚, 唐力等. APU安装系统隔振器布局研究[C]//第10届全国振动理论及应用学术会议论文集. 南京: 中国振动工程学会, 2011: 560-565. HU Jinxuan, TANG Honggang, TANG Li, et al. APUMoun system isolator layout research[C]//Proceedings of the 10th National Conference on Vibration Theory and Application. Nanjing: Chinese Society for Vibration Engineering, 2011: 560-565. (in Chinese
HU Jinxuan, TANG Honggang, TANG Li, et al. APUMoun system isolator layout research[C]//Proceedings of the 10th National Conference on Vibration Theory and Application. Nanjing: Chinese Society for Vibration Engineering, 2011: 560-565. (in Chinese)
|
| [9] |
孙怀义, 王瑞, 刘琴, 等. 冗余设计技术的有效性研究[J]. 自动化与仪器仪表, 2007(6): 3-5. SUN Huaiyi, WANG Rui, LIU Qin, et al. The study of redundancy design technology[J]. Automation & Instrumentation, 2007(6): 3-5. (in Chinese doi: 10.3969/j.issn.1001-9227.2007.06.002
SUN Huaiyi, WANG Rui, LIU Qin, et al. The study of redundancy design technology[J]. Automation & Instrumentation, 2007(6): 3-5. (in Chinese) doi: 10.3969/j.issn.1001-9227.2007.06.002
|
| [10] |
李博, 唐宏刚, 殷海涛, 等. APU安装系统设计与分析[J]. 民用飞机设计与研究, 2010(3): 42-46, 53. LI Bo, TANG Honggang, YIN Haitao, et al. APU mount system design and analysis[J]. Civil Aircraft Design and Research, 2010(3): 42-46, 53. (in Chinese doi: 10.3969/j.issn.1674-9804.2010.03.011
LI Bo, TANG Honggang, YIN Haitao, et al. APU mount system design and analysis[J]. Civil Aircraft Design and Research, 2010(3): 42-46, 53. (in Chinese) doi: 10.3969/j.issn.1674-9804.2010.03.011
|
| [11] |
武志功. APU安装系统的冗余设计与损伤容限设计研究[D]. 南京: 南京航空航天大学, 2011. WU Zhigong. Research on redundancy and tolerance damage designs for APU installation system[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2011. (in Chinese
WU Zhigong. Research on redundancy and tolerance damage designs for APU installation system[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2011. (in Chinese)
|
| [12] |
屈海睿, 漆文凯. APU安装结构载荷传递分析[C]//中国航空学会第6届航空发动机可靠性学术交流会. 湖南 张家界: 中国航空学会, 2011: 357-361. QU Hairui, QI Wenkai. Analysis of load transfer in APU mounting structure[C]// Proceedings of the 6th Chinese Society of Aeronautics and Astronautics(CSAA) Symposium on Aeroengine Reliability. Zhang Jiajie Hunan: CSAA, 2011: 357-361. (in Chinese
QU Hairui, QI Wenkai. Analysis of load transfer in APU mounting structure[C]// Proceedings of the 6th Chinese Society of Aeronautics and Astronautics(CSAA) Symposium on Aeroengine Reliability. Zhang Jiajie Hunan: CSAA, 2011: 357-361. (in Chinese)
|
| [13] |
张绪, 郭晓宁. 民用飞机辅助动力装置安装系统的静强度设计[J]. 科学技术与工程, 2011, 11(30): 1671-1815. ZHANG Xu, GUO Xiaoning. Static strength design of auxiliary power unit mounting system in commercial aircrafts[J]. Science Technology and Engineering, 2011, 11(30): 7476-7480. (in Chinese
ZHANG Xu, GUO Xiaoning. Static strength design of auxiliary power unit mounting system in commercial aircrafts[J]. Science Technology and Engineering, 2011, 11(30): 7476-7480. (in Chinese)
|
| [14] |
杜静, 黄文, 李成武, 等. 基于GAP单元的滚动轴承应力分析[J]. 机械设计与制造, 2011(6): 43-45. DU Jing, HUANG Wen, LI Chengwu, et al. Stress analysis of rolling bearing based on GAP elements[J]. Machinery Design & Manufacture, 2011(6): 43-45. (in Chinese doi: 10.19356/j.cnki.1001-3997.2011.06.017
DU Jing, HUANG Wen, LI Chengwu, et al. Stress analysis of rolling bearing based on GAP elements[J]. Machinery Design & Manufacture, 2011(6): 43-45. (in Chinese) doi: 10.19356/j.cnki.1001-3997.2011.06.017
|
| [15] |
黄文. 一种风电机组轴承简化建模方法的研究[J]. 太阳能, 2018(10): 55-62. HUANG Wen. Research on a simplified modeling method for wind turbine bearings[J]. Solar Energy, 2018(10): 55-62. (in Chinese doi: 10.3969/j.issn.1003-0417.2018.10.014
HUANG Wen. Research on a simplified modeling method for wind turbine bearings[J]. Solar Energy, 2018(10): 55-62. (in Chinese) doi: 10.3969/j.issn.1003-0417.2018.10.014
|
| [16] |
陈达亮, 郝志勇. GAP单元在气门弹簧动态特性有限元分析中的应用[J]. 拖拉机与农用运输车, 2004, 31(2): 24-26. CHEN Daliang, HAO Zhiyong. GAP单元在气门弹簧动态特性有限元分析中的应用[J]. Tractor & Farm Transporter, 2004, 31(2): 24-26. (in Chinese
CHEN Daliang, HAO Zhiyong. GAP单元在气门弹簧动态特性有限元分析中的应用[J]. Tractor & Farm Transporter, 2004, 31(2): 24-26. (in Chinese)
|
| [17] |
杜静, 江术新, 黄强, 等. 风力发电机主轴轴承载荷分布及接触应力分析[J]. 机械设计, 2014, 31(4): 64-67. DU Jing, JIANG Shuxin, HUANG Qiang, et al. Analysis of load distribution and contact stress of wind turbine main shaft bearing[J]. Journal of Machine Design, 2014, 31(4): 64-67. (in Chinese doi: 10.13841/j.cnki.jxsj.2014.04.014
DU Jing, JIANG Shuxin, HUANG Qiang, et al. Analysis of load distribution and contact stress of wind turbine main shaft bearing[J]. Journal of Machine Design, 2014, 31(4): 64-67. (in Chinese) doi: 10.13841/j.cnki.jxsj.2014.04.014
|
| [18] |
CHOI C K, CHUNG G T. A gap element for three-dimensional elasto-plastic contact problems[J]. Computers and Structures, 1996, 61(6): 1155-1167. doi: 10.1016/0045-7949(96)00111-3
|
| [19] |
SONG Y U, YOUN S K, PARK K C. A gap element for treating non-matching discrete interfaces[J]. Computational Mechanics, 2015, 56(3): 551-563. doi: 10.1007/s00466-015-1186-6
|
| [20] |
ZACHARIAH S G, SANDERS J E. Finite element estimates of interface stress in the trans-tibial prosthesis using gap elements are different from those using automated contact[J]. Journal of Biomechanics, 2000, 33(7): 895-899. doi: 10.1016/S0021-9290(00)00022-1
|
| [21] |
GERBER S, STRAUSS J M, RANDEWIJK P J. Evaluation of a hybrid finite element analysis package featuring dual air-gap elements[C]//Proceedings of the XIX International Conference on Electrical Machines(ICEM). Piscataway, US: Institute of Electrical and Electronics Engineers (IEEE), 2010: 1-6.
|
| [22] |
何玉林, 侯海波, 杜静, 等. 风力发电机偏航轴承载荷分布及接触角数值解法研究[J]. 机械设计, 2012, 29(4): 68-72. HE Yulin, HOU Haibo, DU Jing, et al. Study on numerical analysis of load distribution and contact angle of wind turbine yaw bearing[J]. Journal of Machine Design, 2012, 29(4): 68-72. (in Chinese doi: 10.3969/j.issn.1001-2354.2012.04.016
HE Yulin, HOU Haibo, DU Jing, et al. Study on numerical analysis of load distribution and contact angle of wind turbine yaw bearing[J]. Journal of Machine Design, 2012, 29(4): 68-72. (in Chinese) doi: 10.3969/j.issn.1001-2354.2012.04.016
|
| [23] |
LI Ruoyu, YAO Jianyao, WANG Linlin, et al. A novel gap element for the coupling of incompatible interface in component mode synthesis method[J]. International Journal of Computational Methods, 2020, 17(7): 1950033. doi: 10.1142/S0219876219500336
|
| [24] |
张立刚, 岳欠杯, 曲思凝. 基于间隙元法对抽油杆扶正器合理间距进行计算[J]. 数学的实践与认识, 2018, 48(11): 94-99. ZHANG Ligang, YUE Qianbei, QU Sining. Study on reasonable spacing about the sucker rod based on gap element[J]. Mathematics in Practice and Theory, 2018, 48(11): 94-99. (in Chinese
ZHANG Ligang, YUE Qianbei, QU Sining. Study on reasonable spacing about the sucker rod based on gap element[J]. Mathematics in Practice and Theory, 2018, 48(11): 94-99. (in Chinese)
|
| [25] |
黄祎丰, 刘克格, 闫楚良, 等. 基于安装结构实测发动机推力的载荷标定方法[J]. 航空动力学报, 2016, 31(12): 2941-2948. HUANG Yifeng, LIU Kege, YAN Chuliang, et al. Method of loading calibration for actual measurement of aero-engine thrust based on installation structure[J]. Journal of Aerospace Power, 2016, 31(12): 2941-2948. (in Chinese doi: 10.13224/j.cnki.jasp.2016.12.016
HUANG Yifeng, LIU Kege, YAN Chuliang, et al. Method of loading calibration for actual measurement of aero-engine thrust based on installation structure[J]. Journal of Aerospace Power, 2016, 31(12): 2941-2948. (in Chinese) doi: 10.13224/j.cnki.jasp.2016.12.016
|
| [26] |
郑晖, 冯金, 覃琨, 等. 行星架应变片粘贴与标定[J]. 机械工程师, 2021(3): 71-74, 78. ZHENG Hui, FENG Jin, QIN Kun, et al. Strain gauges installation and calibration method for planet carrier[J]. Mechanical Engineer, 2021(3): 71-74, 78. (in Chinese
ZHENG Hui, FENG Jin, QIN Kun, et al. Strain gauges installation and calibration method for planet carrier[J]. Mechanical Engineer, 2021(3): 71-74, 78. (in Chinese)
|
DownLoad:
