Accurate conserved quantity and approximate conserved quantity deduced from Noether symmetry for a weakly Chetaev nonholonomic system

作者：Sun, Xianting; Yang, Bingchen; Zhang, Yaoyu; Xue, Xichang; Jia, Liqun^*

来源：Nonlinear Dynamics, 2015, 81(3): 1563-1568.

DOI：10.1007/s11071-015-2090-5

• Weakly Chetaev nonholonomic system
• Noether symmetry
• First approximate Noether equation
• Accurate conserved quantity
• Approximate conserved quantity

Accurate conserved quantity and approximate conserved quantity deduced from Noether symmetry of Lagrange equations for a weakly Chetaev nonholonomic system were studied. First, the differential equations of motion of the system were established. Second, under the infinitesimal transformations of group, the definitions of Noether symmetry for the weakly Chetaev nonholonomic system and the first approximate system were given. Third, the first approximate Noether equation was mainly obtained, and the expressions of the accurate and approximate conserved quantities were deduced from the Noether symmetry for the weakly Chetaev nonholonomic system. Finally, an example was given to illustrate the application of the results.

• 出版日期2015-8
• 单位中国人民解放军信息工程大学; 平顶山学院; 江南大学