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关于非理想系统的伍德瓦迪亚-卡拉巴动力学方程的讨论

DOI: 10.6052/1000-0879-14-194, PP. 104-108

Keywords: 伍德瓦迪亚-卡拉巴动力学方程,理想约束,非理想约束,刚体系统,摩擦

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Abstract:

讨论了由伍德瓦迪亚(Udwadia)和卡拉巴(Kalaba)提出的针对一般非理想系统的动力学方程,并对理想及非理想约束力的表达式进行了修改.修改后的表达式有更清晰的物理意义且显示了同物理定律相适应的理想约束力及非理想约束力之间的耦合效应.例子中分别采用经典的刚体动力学方法、伍德瓦迪亚-卡拉巴方法及修改后的伍德瓦迪亚-卡拉巴方法进行了对比研究,证实了对方程修改的意义.

References

[1]  7 Udwadia FE, Kalaba RE. What is the general form of the explicit equations of motion for mechanical systems? J Appl Mech, 2002, 39: 335-339
[2]  8 Udwadia FE, Phohomsiri P. Explicit equations of motion for constrained mechanical systems with singular mass matrices and applications to multi-body dynamics. Proc R Soc A, 2006, 462: 2097-2117
[3]  9 Udwadia FE, Phailaung Phohomsiri. Explicit Poincare' equations of motion for general constrained systems. Part I. Analytical results. Proc R Soc A, 2007, 463: 1421-1434
[4]  10 Zhao H, Zhen SC, Chen YH. Dynamic modeling and simulation of multi-body systems using the Udwadia-Kalaba theory. Chinese Journal of Mechanical Engineering, 2013, 26(5): 839-850
[5]  11 de Falco D, Pennestr E, Vita L. Multibody dynamics. In: Proc of Eccomas Thematic Conference, Madrid, Spain, 2005
[6]  12 Ettore P, Valentini Pier P, de Domenico F. An application of the Udwadia{Kalaba dynamic formulation to flexible multibody systems. Journal of the Franklin Institute, 2010, 347 (1): 173-194
[7]  13 Cho H, Udwadia FE. Explicit solution to the full nonlinear problem for satellite formation-keeping. Acta Astronautica, 2010, 67: 369-387
[8]  14 de Falco D, Pennestrμ3 E, Vita L. Investigation of the influence of pseudoinverse matrix calculations on multibody dynamics simulations by means of the Udwadia-Kalaba formulation. Journal of Aerospace Engineering, 2009, 22 (4): 365-372
[9]  15 Huang J, Chen YH, Zhong ZH. Udwadia-Kalaba approach for parallel manipulator dynamics. Journal of Dynamic Systems, Measurement, and Control, 2013, 135 (6): 1-11
[10]  16 Solomin JE, Zuccalli M. A geometric approach to the extended DAlembert principle of Dwadia-Kalaba-Hee-Chang. Quarterly of Applied Mathematics, 2005, 63 (2): 269-275
[11]  17 甄圣超, 赵韩, 黄康等. 应用Udwadia-Kalaba 理论对开普勒定律的研究. 中国科学: 物理学¢ 力学¢ 天文学, 2014, 44: 24-31
[12]  1 Udwadia FE, Kalaba RE. A new perspective on constrained motion. Proc R Soc A, 1992, 439: 407-410
[13]  2 Udwadia FE, Kalaba RE. Analytical Dynamics: A New Approach. Cambridge: Cambridge University Press, 1996
[14]  3 Udwadia FE. Fundamental principles of lagrangian dynamics: mechanical systems with non-ideal, holonomic, and non-holonomic constraints. J Math Anal Appl, 2000, 252: 341-355
[15]  4 Udwadia FE, Kalaba RE. Non-ideal constraints and lagrangian dynamics. J Aerosp Eng, 2000, 13: 17-22
[16]  5 Udwadia FE, Kalaba RE. Explicit equations of motion for systems with non-ideal constraints. ASME J Appl Mech, 2001, 68: 462-467
[17]  6 Udwadia FE. New general principle of mechanics and its application to general nonideal nonholonomic systems. Journal of Engineering Mechanics, 2005, 131(4): 443-450

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