2017, 38(12): 1331-1341.
doi: 10.21656/1000-0887.380060
Abstract:
The Noether symmetry of vehicle vibration systems with electromagnetic suspension was studied, and the conserved quantity of the system was given. Furthermore, with the conserved quantity, the symmetry solution of the system was obtained. In the form of energy, the Lagrangian equations under different vibration modes were built. With the chosen displacement coordinates as the generalized coordinates, the Noether symmetries of the system under different vibration modes were studied, the corresponding Noether identities, Killing equations and generalized Noether theorems were given. The conserved quantity of the system was applied so that a new method for solving vehicle vibration system responses was proposed. Then this method was used in the calculation of a specific vehicle vibration system, and the displacement response curves and velocity response curves of the system in the cases of swerving, braking, accelerating and so on can be obtained. The calculation results agree well with the empirical data.