Abstract
To overcome the non-structure-preserving drawbacks in traditional numerical simulation of transmission-line nonlinear vibration responses, the Noether symmetry and conserved quantity of transmission lines’ 2-way galloping under ice and wind excitation were studied. Firstly, in view of the nonlinearity of the aerodynamic force and the line geometry, a 2-DOF galloping model of vertical and torsional vibrations was established based on the analytical mechanics method. Secondly, the group analysis theory was introduced, and the condition and the conserved quantity of the Noether symmetry were given according to the invariance principle. Finally, a conserved quantity-preserving discrete numerical algorithm was constructed. The dynamic characteristics of the nonlinear mechanical structure were studied with the Noether symmetry theory. The results show that, the proposed novel method is structure-preserving in a wide range of application, and is reliable and accurate.
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