LI C , XUE H , ZHANG Y H , et al. A laterally sensitive quartz vibrating beam accelerometer for inertial navigation application [J ] . Sensors and Actuators A:Physical , 2024 , 366 : 115015 .

张博伦 , 周荻 . 引入角加速度测量的柔性飞行器姿态控制方法 [J ] . 兵工学报 , 2020 , 41 ( 11 ): 2225 - 2233 . DOI: 10.3969/j.issn.1000-1093.2020.11.009 http://doi.org/10.3969/j.issn.1000-1093.2020.11.009 讨论大气层外细长型柔性飞行器的姿态控制问题，该问题的本质是在测量器件附加柔性影响的情况下控制刚体姿态跟踪指令。提出动态面姿态控制方法，以实现姿态指令跟踪。建立柔性形变的2阶动态模型，结合刚体角速度与柔性形变的关系建立非线性模型并设计卡尔曼滤波器。针对轨控发动机质心偏移等因素产生的干扰力矩，引入角加速度计的测量，经过陷波滤波器处理后得到各轴向的估计力矩，将其作为卡尔曼滤波器的输入。仿真结果表明，对于柔性飞行器，采用所提出的状态估计及控制方法，可以保证姿态跟踪误差在0.5°以内。

ZHANG B L , ZHOU D . Flexible aircraft attitude control method with the measurement of angular acceleration [J ] . Acta Armamentarii , 2020 , 41 ( 11 ): 2225 - 2233 . (in Chinese) DOI: 10.3969/j.issn.1000-1093.2020.11.009 http://doi.org/10.3969/j.issn.1000-1093.2020.11.009 The attitude control of slender flexible aircraft outside the atmosphere is discussed. The essence of the problem is to control the attitude tracking command of rigid body under the condition of additional flexibility of measuring device. A dynamic surface attitude control method is presented for attitude command tracking. A second-order dynamic model of flexible deformation is established. A nonlinear model is established by combining the angular velocity of rigid body with the flexible deformation, and the Kalman filter is designed. The measurement of angular accelerometer is introduced for the problem of disturbance torque caused by the factors, such as the centroid shift of rail-controlled engine. After notch filtering, the estimated torque of each axis is obtained and used as the input of Kalman filter. The simulated results show that, for the flexible air vehicle, the proposed state estimation and control method can ensure the attitude tracking error being within 0.5°.

WANG K , LIU D X , LIU Z Y , et al. An assembly precision analysis method based on a general part digital twin model [J ] . Robotics and Computer-Integrated Manufacturing , 2021 , 68 : 102089 .

张体广 , 张发平 , 阎艳 , 等 . 基于数据配准的零件精密装配最佳接触状态研究 [J ] . 兵工学报 , 2018 , 39 ( 1 ): 127 - 136 . DOI: 10.3969/j.issn.1000-1093.2018.01.014 http://doi.org/10.3969/j.issn.1000-1093.2018.01.014 针对零件表面几何形状误差分布对装配精度的影响与零件装配后配合表面接触状态尚不清楚的问题，提出一种基于数据配准的零件配合表面最佳接触状态确定方法。分析零件表面几何形状误差分布特性，利用数据配准技术提出配合表面接触点确定方法，并采用粒子群优化算法求解最佳接触状态；在此基础上采用小位移旋量表示零件表面的几何形状误差，提出一种基于接触状态的配合误差计算方法，从而实现零件装配精度的初步预测；通过实验验证了所提模型和方法的有效性。研究结果表明：数据配准方法可确定零件装配时的接触点位置和接触状态，预测精密高刚度零件的装配精度；从统计意义上证明，零件的形状误差分布对精密装配的影响不可忽略。

ZHANG T G , ZHANG F P , YAN Y , et al. Research on the best contact state of precision assembly based on data registration [J ] . Acta Armamentarii , 2018 , 39 ( 1 ): 127 - 136 . (in Chinese)

YAN X Y , BALLU A . Tolerance analysis using skin model shapes and linear complementarity conditions [J ] . Journal of Manufacturing Systems , 2018 , 48 : 140 - 156 .

SAMPER S , ADRAGNA P A , FAVRELIERE H , et al. Modeling of 2D and 3D assemblies taking into account form errors of plane surfaces [J ] . Journal of Computing & Information Science in Engineering , 2010 , 9 ( 4 ): 790 - 792 .

ZHANG J , QIAO L H . Research on computing position and orientation deviations caused by mating two non-ideal planes [J ] . Procedia CIRP , 2018 , 75 : 309 - 313 .

石嵩 , 刘检华 , 巩浩 , 等 . 考虑粗糙表面接触配合的航空发动机多级转子装配误差传递建模 [J ] . 机械工程学报 , 2023 , 59 ( 17 ): 208 - 219 . DOI: 10.3901/JME.2023.17.208 http://doi.org/10.3901/JME.2023.17.208 传统的转子系统装配建模方法忽略了转子粗糙表面微观形貌的影响，可能导致装配误差传递建模和优化不精确等问题，在此背景下，提出了一种综合考虑定向误差、定位误差和表面粗糙形貌的航空发动机多级转子装配误差传递分析方法。首先，使用共轭梯度法模拟转子端面的粗糙表面微观形貌，在刚性接触假设下，提出了一种考虑平移、单点和轴线旋转，以及质心作用的接触求解算法，计算两个粗糙表面的装配倾斜角和配合面方程。然后，改进传统基于齐次变换矩阵的装配误差传递模型，建立了考虑粗糙表面接触配合的多级转子装配同轴度误差传递模型。最后，以航空发动机转子模拟件为对象，选取前轴和第一级盘进行实例分析，新模型的同轴度预测精度与传统模型相比提高了11.55%。研究结果表明，所提方法可以提高航空发动机多级转子装配精度预测的准确性，为航空发动机转子系统的精密装配提供了理论依据。

SHI S , LIU J H , GONG H , et al. Modeling of error transfer in multistage rotors assembly of aero engine considering rough surface contact [J ] . Journal of Mechanical Engineering , 2023 , 59 ( 17 ): 208 - 219 . (in Chinese) DOI: 10.3901/JME.2023.17.208 http://doi.org/10.3901/JME.2023.17.208 Traditional assembly modeling methods for rotor system ignore the influence of the rough surface micro-morphology of rotors, which may lead to inaccurate assembly error propagation modeling and optimization. Hence, an error propagation analysis method of aero-engine multistage rotors assembly is proposed, which comprehensively considers location errors, orientation errors, and rough surface morphology. First, the conjugate gradient method is used to simulate the practical rough surface micro-morphology of the rotor end face. Then, a contact solution algorithm is proposed under the assumption of rigid contact to calculate the equation of the mating surface and the assembly tilt angle after the mating of two rough surfaces. Second, the traditional homogeneous transformation matrix model for assembly error is improved, and a coaxiality error propagation model considering the rough surface morphology of multistage rotors assembly is established. Finally, the front shaft and the first stage disc of the aero-engine are selected as the objects to verify the effectiveness of the precision prediction model, the accuracy of coaxiality prediction using the new model improved 11.55% compared to the traditional model. The research results indicate that the proposed method can improve the precision prediction accuracy of aero-engine multistage rotors assembly, and provide a theoretical basis for the precision assembly of aero-engine rotor system.

LIU T , ZHU Z W , CAO Y L , et al. Consideration of working conditions in assembly tolerance analysis [J ] . Procedia CIRP , 2018 , 75 : 226 - 231 .

LIU J H , ZHANG Z Q , DING X Y , et al. Integrating form errors and local surface deformations into tolerance analysis based on skin model shapes and a boundary element method [J ] . Computer-Aided Design , 2018 , 105 : 45 - 59 .

SHAO N , DING X Y , LIU J H . Tolerance analysis of spur gears based on skin model shapes and a boundary element method [J ] . Mechanism and Machine Theory , 2020 , 144 : 103658 .

YANG J X , WU C J , SHAO N , et al. Kinematic accuracy analysis for cam mechanism considering dynamic behavior and form deviations [J ] . Precision Engineering , 2024 , 88 : 109 - 116 .

ZHANG J , QIAO L H , HUANG Z C , et al. Force constraint-based approach to compute the position and orientation of parts assembled by multiple non-ideal planes [J ] . Precision Engineering , 2023 , 83 : 58 - 68 .

MA S H , HU T L , XIONG Z Q . Precision assembly simulation of skin model shapes accounting for contact deformation and geometric deviations for statistical tolerance analysis method [J ] . International Journal of Precision Engineering and Manufacturing , 2021 , 22 ( 6 ): 975 - 989 .

王鹤翔 , 毛晓东 , 庞丽萍 , 等 . 基于多目标遗传算法的特种车舱室送风系统优化设计 [J ] . 兵工学报 , 2022 , 43 ( 12 ): 2981 - 2988 . DOI: 10.12382/bgxb.2021.0632 http://doi.org/10.12382/bgxb.2021.0632 特种车由于其舱内空间狭窄、人员密集等特点，送风系统难以同时保证多乘、载员人体热舒适性要求，需要对特种车舱室送风系统进行合理布局和优化设计。针对某型特种车，建立其舱室简化三维模型。选取预计平均热感度、空气龄、加权温度及头足温差作为送风系统性能优劣的评判标准，结合计算流体动力学和多目标遗传算法，对送风系统布局和参数分别进行仿真优化设计。仿真结果表明，采用顶部左右条缝及脚部送风口可以有效改善乘、载员热舒适性，提高送风系统性能。进一步分析帕累托最优解，得出顶部送风口位置、送风角度和回风口位置的最优取值。本优化设计结果满足设计指标要求，为特种车送风系统设计、优化工作提供了新的思路。

WANG H X , MAO X D , PANG L P , et al. Design on layout optimization of air supply system for special vehicle cabin based on multi-objective genetic algorithm [J ] . Acta Armamentarii , 2022 , 43 ( 12 ): 2981 - 2988 . (in Chinese) DOI: 10.12382/bgxb.2021.0632 http://doi.org/10.12382/bgxb.2021.0632 Due to the narrow and densely-populated space in the cabin of the special vehicle, it is difficult for the air supply system to meet the thermal comfort requirements of all the occupants, and thus it is necessary to optimize the design of the air supply system with reasonable layout of the special vehicle cabin. A simplified three-dimensional model of a type of special vehicle cabin was established. Predicted mean vote (PMV), air age, weighted temperature, and temperature difference between head and foot were selected as the evaluation criteria of the air supply system. Combined with the CFD and multi-objective genetic algorithm, the layout and parameters of the air supply system were simulated and optimized. The simulation results showed that the crew's thermal comfort can be effectively improved by using the top left and right seams and the foot air inlet. With a further analysis of the Pareto optimal solution, we obtained the optimal parameter values of the top air inlet position, air supply angle and return air vent position. The optimized design results meet the requirements of the design indicators, and provide a new idea for the design and optimization of the special vehicle's air supply system.

WIETHEGER S , DOEER B . A mathematical runtime analysis of the non-dominated sorting cenetic algorithm III (NSGA-III) [C ] // Proceedings of the Genetic and Evolutionary Computation Conference Companion.Melbourne,VIC , Australia : Association for Computing Machinery , 2024 : 63 - 64 .

OPRIS A , DANG D C , NEUMANN F , et al. Runtime analyses of NSGA-III on many-objective problems [C ] // Proceedings of the Genetic and Evolutionary Computation Conference.Melbourne,VIC , Australia : Association for Computing Machinery , 2024 : 1596 - 1604 .

ANWER N , BALLU A , MATHIEU L . The skin model,a comprehensive geometric model for engineering design [J ] . CIRP Annals-Manufacturing Technology , 2013 , 62 ( 1 ): 143 - 146 .

LIU Y M , REN Y , LIN Q Y , et al. A digital twin-based assembly model for multi-source variation fusion on vision transformer [J ] . Journal of Manufacturing Systems , 2024 , 76 : 478 - 501 .

JIANG C , LI W L , LI W P , et al. A novel dual-robot accurate calibration method using convex optimization and lie derivative [J ] . IEEE Transactions on Robotics , 2023 , 40 : 960 - 977 .

ZHANG J , QIAO L H , HUANG Z C , et al. An approach to analyze the position and orientation between two parts assembled by non-ideal planes [J ] . Proceedings of the Institution of Mechanical Engineers, Part B:Journal of Engineering Manufacture , 2021 , 235 ( 1/2 ):095440542095017.

KIM K , CHOI J , PARK Y . A new spatial data structure for triangular mesh with toroidal patches [J ] . Journal of King Saud University-Computer and Information Sciences , 2024 , 36 ( 1 ): 101891 .

SA G D , BAI H D , LIU Z Y , et al. A tolerance analysis method based on assembly deformation simulation with stable contact [J ] . Robotic Intelligence and Automation , 2024 , 44 ( 1 ): 1 - 18 .