Transactions of Nanjing University of Aeronautics & Astronautics
Normal
Fractional action-like variational problem and its Noether symme-tries for a nonholonomic system
- Article
- Figures
- Metrics
- Preview PDF
- Reference
- Related
- Cited by
- Materials
Abstract:
For an in-depth study on the symmetric properties for nonholonomic non-conservative mechanical systems, the fractional action-like Noether symmetries and conserved quantities for nonholonomic mechanical systems are studied, which are based on the fractional action-like approach for dynamics modeling proposed by El-Nabulsi. Firstly, the fractional action-like variational problem is established, and the fractional action-like Lagrange equations of holonomic system and the fractional action-like differential equations of motion with multiplier for nonholonomic system are given; secondly, according to the invariance of fractional action-like Hamilton action under infinitesimal transformations of group, the definitions and criteria of fractional action-like Noether symmetric transformations and quasi-symmetric transformations are put forward; finally, the fractional action-like Noether theorems for both holonomic system and nonholonomic system are established, and the relationship between the fractional action-like Noether symmetry and the conserved quantity is given.
Keywords:
Project Supported:
Clc Number:
O316
Mobile website
