[1] | 叶庆凯, 刘才山. 探讨用最优控制方法解力学问题// 第二十三届中国控制会议论文集, 2004: 356-358 |
[1] | ( Ye Qingkai, Liu Caishan. The discussion about using optimal control method solve mechanical problems// Proceedings Of The 23rd China Control Conference, 2004: 356-358 (in Chinese)) |
[2] | 刘延柱, 潘振宽, 戈新生. 多体系统动力学(第2版). 北京: 高等教育出版社, 2014 |
[2] | ( Liu Yanzhu, Pan Zhenkuan, Ge Xinsheng. Dynamics of Multibody Systems (2nd Edition). Beijing: Senior Education Press, 2014 (in Chinese)) |
[3] | Brogliato B. Nonsmooth Mechanics: Models, Dynamics and Control (3rd edition). London: Spinger-Verlag London Limited, 2016 |
[4] | Shabana AA. An important chapter in the history of multibody system dynamics. Journal of Computational and Nonliear Dynamics, 2016,11(6):060303 |
[5] | 赫孝良, 葛照强. 最优化与最优控制. 西安: 西安交通大学出版社, 2009 |
[5] | ( Hao Xiaoliang, Ge Zhaoqiang. Optimization and Optimal Control. Xi'an: Xi'an Jiaotong University Press, 2009 (in Chinese)) |
[6] | 陈滨. 分析动力学. 北京: 北京大学出版社, 2012 |
[6] | ( Chen Bin. Analytical Dynamics. Beijing: Peking University Press, 2012 (in Chinese)) |
[7] | 波波夫 E Π. 操作机器人动力学与算法. (遇立基, 陈循介译). 北京: 机械工业出版社, 1984 |
[7] | ( Bobofu E Π. Dynamics And Algorithm of Operating Robot. Yu Liji, Chen Dunjie, transl. Beijing: Mechanical Industry Press, 1984 (in Chinese)) |
[8] | Lilov L, Lorer M. Dynamic analysis of multirigid-body system based on the Gauss principle. ZAMM, 1982,62:539-545 |
[9] | 刘延柱. 杆网系统基于高斯原理的动力学建模. 动力学与控制学报, 2018,16(4):289-294 |
[9] | ( Liu Yanzhu. Dynamic modeling of pole net system based on gauss principle. Journal of Dynamics and Control, 2018,16(4):289-294 (in Chinese)) |
[10] | 刘延柱, 薛纭. 基于高斯原理的Cosserat弹性杆动力学模型. 物理学报, 2015,64(4):44601 |
[10] | ( Liu Yanzhu, Xue Yun. Dynamic model of Coserat elastic rod based on Gauss principle. Acta Physica Sinica, 2015,64(4):44601 (in Chinese)) |
[11] | 刘延柱. 基于高斯原理的多体系统动力学建模. 力学学报, 2014,46(6):940-945 |
[11] | ( Liu Yanzhu. Dynamic modeling of multibody system based on Gauss principle. Chinese Journal of Theoretical and Applied Mechanics, 2014,46(6):940-945 (in Chinese)) |
[12] | Moreau JJ. Quadratic programming in mechanics: Dynamics of one-sided constraints. J. SIAM Control., 1966,4(1):153-158 |
[13] | 董龙雷, 闫桂荣, 杜彦亭 等. 高斯最小拘束原理在一类刚柔耦合系统分析中的应用. 兵工学报, 2001,22(3):347-351 |
[13] | ( Dong Longlei, Yan Guirong, Du Yanting, et al. The application of Gauss minimum restraint principle in the analysis of a kind of rigid flexible coupling system. Acta Armamentarii, 2001,22(3):347-351 (in Chinese)) |
[14] | 郝名望, 叶正寅. 单柔体与多柔体动力学的高斯最小拘束原理. 广西大学学报, 2011,36(2):195-204 |
[14] | ( Hao Mingwang, Ye Zhengyin. Gauss' principle of least constraint of single flexible body and multi-flexible body dynamics. Journal of Guangxi University (Natural Science Edition), 2011,36(2):195-204 (in Chinese)) |
[15] | 薛纭, 曲佳乐, 陈立群. Cosserat生长弹性杆动力学的 Gauss 最小拘束原理. 应用数学和力学, 2015,36(7):700-709 |
[15] | ( Xue Yun, Qu Jiale, Chen Liqun. Gauss minimum restraint principle for the dynamics of Coserat growing elastic rod. Applied Mathematics and Mechanics, 2015,36(7):700-709 (in Chinese)) |
[16] | 史跃东, 王德石. 高斯最小拘束原理在火炮振动分析中的应用. 火炮发射与控制学报, 2009,30(4):26-30 |
[16] | ( Shi Yuedong, Wang Deshi. Application of Gauss minimum constraint principle in gun vibration analysis. Journal of Gun Launch & Control, 2009,30(4):26-30 (in Chinese)) |
[17] | 孙加亮, 田强, 胡海岩. 多柔体系统动力学建模与优化研究进展. 力学学报, 2019,51(6):1565-1586 |
[17] | ( Sun Jialiang, Tian Qiang, Hu Haiyan. Advances in dynamic modeling and optimization of flexible multibody systems. Chinese Journal of Theoretical and Applied Mechanics, 2019,51(6):1565-1586 (in Chinese)) |
[18] | 朱安, 陈力. 配置柔顺机构空间机器人双臂捕获卫星操作力学模拟及基于神经网络的全阶滑模避撞柔顺控制. 力学学报, 2019,51(4):1156-1169 |
[18] | ( Zhu An, Chen Li. Mechanical simulation and full order sliding mode collision avoidance compliant control based on neural network of dual-arm space robot with compliant mechanism capturing satellite. Chinese Journal of Theoretical and Applied Mechanics, 2019,51(4):1156-1169 (in Chinese)) |
[19] | Feng Q, Tu J. Modeling and algorithm on a class of mechanical systems with unilateral constraints. Arch. Appl. Mech., 2006,76:103-116 |
[20] | Bruyninckx H, Khatib O. Gauss principle and the dynamics of redundant and constrained manipulators// Proceedings of the 2000 IEEE International Conference on Robotics & Automation, 2000: 2563-2569 |
[21] | Udwadia FE, Kalaba RE. A new perspective on constrained motion. Proc. R. Soc. Lond. A Math. Phys. Sci., 1992,439:407-410 |
[22] | Kalaba RE, Udwadia FE. Equations of motion for nonholonomic, constrained dynamical systems via Gauss's principle. Transactions of the ASME, 1993,60:662-668 |
[23] | Kalaba R, Natsuyama H, Udwadia F. An extension of Gauss's principle of least constraint. Int J General Systems, 2004,33(1):63-69 |
[24] | Fan YY, Kalaba RE, Natsuyama HH, et al. Reflections on the Gauss principle of least constraint. Journal of Optimization Theory and Applications, 2005,127(3):475-484 |
[25] | 刘才山. 分析动力学中的基本方程与非完整约束. 北京大学学报(自然科学版), 2016,52(4):756-766 |
[25] | ( Liu Caishan. The fundamental equations in analytical mechanics for nonholonomic systems. Acta Scientiarum Naturalium Universitatis Pekinensis, 2016,52(4):756-766 (in Chinese)) |
[26] | Pfeiffer F. Multibody Dynamics with Unilateral Contacts. United States of America: John Wiley and Sons. Inc, 1995 |
[27] | Udwadia FE. New general principle of mechanics and its application to general nonideal nonholonomic systems. Journal of Engineering Mechanics, 2005. 131(4):444-450 |
[28] | 姚文莉, 戴葆青. 广义坐标形式的高斯最小拘束原理及其推广. 力学与实践, 2014,36(6):779-785 |
[28] | ( Yao Wenli, Dai Baoqing. Gauss principle of least constraint in generalized coordinates and its generalization. Mechanics in Engineering, 2014,36(6):779-785 (in Chinese)) |
[29] | 姚文莉. 基于广义坐标形式的高斯最小拘束原理的多刚体系统动力学建模. 北京大学学报(自然科学版), 2016,52(4):708-712 |
[29] | ( Yao Wenli. Dynamical modeling of multi-rigid-body system based on Gauss principle of least constraint in generalized coordinates. Acta Scientiarum Naturalium Universitatis Pekinensis, 2016,52(4):708-712 (in Chinese)) |
[30] | 杨流松, 姚文莉, 岳嵘. 优化形式的刚体系统动力学模拟. 力学与实践, 2015,37(4):488-491 |
[30] | ( Yang Liusong, Yao Wenli, Yue Rong. Simulation of body dynamics with optimization. Mechanics in Engineering, 2015,37(4):488-491 (in Chinese)) |