EI、Scopus 收录
中文核心期刊
LIE SYMMETRIES AND CONSERVED QUANTITIES OF NONHOLONOMIC SYSTEMS OF NON CHETAEV'S TYPE 1)[J]. Chinese Journal of Theoretical and Applied Mechanics, 1998, 30(4): 468-474. DOI: 10.6052/0459-1879-1998-4-1995-150
Citation: LIE SYMMETRIES AND CONSERVED QUANTITIES OF NONHOLONOMIC SYSTEMS OF NON CHETAEV'S TYPE 1)[J]. Chinese Journal of Theoretical and Applied Mechanics, 1998, 30(4): 468-474. DOI: 10.6052/0459-1879-1998-4-1995-150

LIE SYMMETRIES AND CONSERVED QUANTITIES OF NONHOLONOMIC SYSTEMS OF NON CHETAEV'S TYPE 1)

  • There are two kinds of modern methods in finding conservation laws. One is the Noether method which is based on the invariance of the Hamilton's action under the infinitesimal transformations, the other one is the Lie method which is based on the invariance of the differential equations under infinitesimal transformations. In mathematics, the symmetry methods in the theory of differential equations have made great progress in recent years. In mechanics, the research on Lie symmetries and conservation l...
  • Related Articles

    [1]Chen Yuanzhao, Zhu Jiancheng, Wu Wenjun, Du Xiaokang, Zhang Dingguo. DEFORMATION GRADIENT ELEMENT FOR FLEXIBLE BEAMS WITH LARGE DEFORMATION IN A FLOATING FRAME REFERENCE[J]. Chinese Journal of Theoretical and Applied Mechanics, 2025, 57(1): 249-260. DOI: 10.6052/0459-1879-24-318
    [2]Sun Jialiang, Tian Qiang, Hu Haiyan. ADVANCES IN DYNAMIC MODELING AND OPTIMIZATION OF FLEXIBLE MULTIBODY SYSTEMS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(6): 1565-1586. DOI: 10.6052/0459-1879-19-212
    [3]Qi Zhaohui, Cao Yan, Wang Gang. MODEL SMOOTHING METHODS IN NUMERICAL ANALYSIS OF FLEXIBLE MULTIBODY SYSTEMS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(4): 863-870. DOI: 10.6052/0459-1879-18-111
    [4]Zhang Xiaoshun, Zhang Dingguo, Hong Jiazheny. RIGID-FLEXIBLE COUPLING DYNAMIC MODELING AND SIMULATION WITH THE LONGITUDINAL DEFORMATION INDUCED CURVATURE EFFECT FOR A ROTATING FLEXIBLE BEAM UNDER LARGE DEFORMATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(3): 692-701. DOI: 10.6052/0459-1879-15-385
    [5]Chen Sijia, Zhang Dingguo, Hong Jiazhen. A HIGH-ORDER RIGID-FLEXIBLE COUPLING MODEL OF A ROTATING FLEXIBLE BEAM UNDER LARGE DEFORMATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(2): 251-256. DOI: 10.6052/0459-1879-12-221
    [6]Tao Tang, Shiqi Wang, Jun Qiu, Zhuo Zhuang. The nonlinear viscoelastic constitutive model of cardiac myocyte in simulation of micropipette aspiration experiment[J]. Chinese Journal of Theoretical and Applied Mechanics, 2009, 41(6): 913-919. DOI: 10.6052/0459-1879-2009-6-2008-344
    [7]Qi Zhaohui. Recursive method for modeling flexible multibody systems with non-ideal constraints[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(5): 684-694. DOI: 10.6052/0459-1879-2008-5-2007-577
    [8]Jinyang Liu, Jiazhen Hong. Nonlinear formulation for flexible multibody system with large deformation[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 23(1): 111-119. DOI: 10.6052/0459-1879-2007-1-2006-113
    [9]ON HYPERELASTIC CONDITION OF RATE-FORM ELASTICPLASTIC CONSTITUTIVE LAW AT FINITE DEFORMATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1991, 23(2): 248-251. DOI: 10.6052/0459-1879-1991-2-1995-834

Catalog

    Article Metrics

    Article views (1609) PDF downloads (809) Cited by()
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return