Page 59 - 《振动工程学报》2026年第2期
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第 2 期                    李轶林,等:变翼面飞行器平面滚珠轴承接触等效建模研究                                        375

              度系数    α  对等效建模进行了参数化表征,基于粒子                      [10]  DESAI C S,ZAMAN M M,LIGHTNER J G,et al. Thin-
              群优化算法对建模参数进行了识别,以典型伸缩翼                                layer element for interfaces and joints[J]. International Journal
              结构为例开展了不同接触状态算例研究,验证了等                                for  Numerical  and  Analytical  Methods  in  Geomechanics,
              效建模方法的有效性,主要结论如下:                                     1984,8(1):19-43.
                                                                [11]  JING L,HUDSON J A. Numerical methods in rock mechan-
                  (1) 本文所建立的等效模型能够准确反映变形翼
                                                                    ics[J].  International  Journal  of  Rock  Mechanics  and  Mining
              面在不同变形状态下的静/动力学特性,得到位移、
                                                                    Sciences,2002,39(4):409-427.
              应力及模态等参数。
                                                                [12]  JING  L.  A  review  of  techniques, advances  and  outstanding
                  (2) 等效模型建模误差随着伸出长度的增加逐渐
                                                                    issues  in  numerical  modelling  for  rock  mechanics  and  rock
              降低,采用等效模型能够高效精确地分析变形过程
                                                                    engineering[J].  International  Journal  of  Rock  Mechanics  and
              中的静/动力学特性。                                            Mining Sciences,2003,40(3):283-353.
                                                                [13]  RIMPEL A M. A simple contact model for simulating Tie bolt
              参考文献:                                                 rotor butt joints with and without pilot fits[C]//ASME Turbo
                                                                    Expo 2018: Turbomachinery Technical Conference and Expo-
              [1]  BARBARINO S,BILGEN O,AJAJ R M,et al. A review    sition, 2018.
                  of morphing aircraft[J]. Journal of Intelligent Material Systems  [14]  LIU G,LU Z R,WANG L,et al. A new semi-analytical
                  and Structures,2011,22(9):823-877.                technique for nonlinear systems based on response sensitivity
              [2]  AJAJ R M,FRISWELL M I,I SAAVEDRA FLORES E,       analysis[J]. Nonlinear Dynamics,2021,103(2):1529-1551.
                  et al. An integrated conceptual design study using span morph-  [15]  姜东,史勤丰,费庆国,等. 螺栓连接结构接触面刚度识
                  ing technology[J]. Journal of Intelligent Material Systems and  别方法  [J]. 固体火箭技术,2014,37(5):688-693.
                  Structures,2014,25(8):989-1008.                   JIANG Dong,SHI Qinfeng,FEI Qingguo,et al. Stiffness
              [3]  白鹏,陈钱,徐国武,等. 智能可变形飞行器关键技术发展                      identification of fixed bolted-joint interface[J]. Journal of Solid
                  现状及展望    [J]. 空气动力学学报,2019,37(3):426-443.         Rocket Technology,2014,37(5):688-693.
                  BAI  Peng, CHEN  Qian, XU  Guowu, et  al.  Development  [16]  姜东,吴邵庆,史勤丰,等. 基于各向同性本构关系薄层
                  status of key technologies and expectation about smart morph-  单 元 的 螺 栓 连 接 参 数 识别  [J].  振 动 与 冲 击 , 2014,
                  ing  aircraft[J].  Acta  Aerodynamica  Sinica, 2019, 37( 3) :  33(22):35-40.
                  426-443.                                          JIANG Dong,WU Shaoqing,SHI Qinfeng,et al. Parame-
              [4]  HU W,YANG Z C,GU Y S. Aeroelastic study for folding  ter identification of bolted-joint based on the model with thin-
                  wing  during  the  morphing  process[J].  Journal  of  Sound  and  layer elements with isotropic constitutive relationship[J]. Jour-
                  Vibration,2016,365:216-229.                       nal of Vibration and Shock,2014,33(22):35-40.
              [5]  LI W L,CHEN Y M,LIU J K,et al. Parameter identifica-  [17]  LI P,YUAN Q. Determination of contact stiffness and damp-
                  tion method for nonsmooth aeroelastic system[J]. AIAA Jour-  ing of a tie-bolt rotor with interference fits using model updat-
                  nal,2022,60(9):5357-5371.                         ing with thin-layer elements[J]. Shock and Vibration,2020,
              [6]  廖华松,陈海,汪利,等. 基于响应灵敏度方法的螺栓连                       2020(1):8872401.
                  接结构参数识别及实验       [J]. 中山大学学报(自然科学版)(中         [18]  田红亮,刘芙蓉,方子帆,等. 引入各向同性虚拟材料的固
                  英文),2024,63(1):121-127.                           定结合部模型     [J]. 振动工程学报,2013,26(4):561-573.
                  LIAO  Huasong, CHEN  Hai, WANG  Li, et  al.  Parameter  TIAN Hongliang,LIU Furong,FANG Zifan,et al. Immov-
                  identification and experiment of bolted joint structure based on  able  joint  surface’s  model  using  isotropic  virtual  material[J].
                  response  sensitivity  analysis  approach[J].  Acta  Scientiarum  Journal of Vibration Engineering,2013,26(4):561-573.
                  Naturalium Universitatis Sunyatseni,2024,63(1):121-127.  [19]  张学良,范世荣,温淑花,等. 基于等效横观各向同性虚
              [7]  RADOVÁ  J, MACHALOVÁ  J.  Parameter  identification  in  拟材料的固定结合部建模方法  [J]. 机械工程学报,2017,
                  contact problems for Gao beam[J]. Nonlinear Analysis:Real  53(15):141-147.
                  World Applications,2024,77:104068.                ZHANG  Xueliang, FAN  Shirong, WEN  Shuhua, et  al.
              [8]  BRAVO  R, PÉREZ-APARICIO  J  L.  Combined  Finite-  Modeling method of fixed joint interfaces based on equivalent
                  Discrete  element  method  for  parameter  identification  of  transversely isotropic virtual material[J]. Journal of Mechani-
                  masonry  structures[J].  Construction  and  Building  Materials,  cal Engineering,2017,53(15):141-147.
                  2023,396:132297.                              [20]  毛宽民,邢满禧,李斌,等. 滚动直线导轨副可动结合部
              [9]  ZHANG  T, LIU  G, WANG  L, et  al.  Adaptive  integral  动力学建模  [J]. 华中科技大学学报(自然科学版),2016,
                  alternating minimization method for robust learning of nonlin-  44(7):81-85.
                  ear dynamical systems from highly corrupted data[J]. Chaos,  MAO  Kuanmin, XING  Manxi, LI  Bin, et  al.  Dynamic
                  2023,33(12):123112.                               modeling for movable joint of rolling linear guide[J]. Journal
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