Improvement research on the one-step algorithm for bus rollover collision based on the improved gradient method

The generalised imbalanced forces of each node of the initial solution of the one-step algorithm for bus rollover collision are iterated to balance based on the improved gradient method. Meanwhile, the local perturbation method is introduced into the equilibrium iteration process of the generalised imbalanced forces of the nodes of the improved algorithm, and the final deformation of rollover collision is quickly obtained. Comparing with the original Newton–Raphson iteration method, the computational efficiency is greatly promoted, and the simulation precision of the one-step collision algorithm is guaranteed at the same time. A case study on rollover collision for a typical 12 meter bus body section is carried out using the improved one-step collision algorithm. The practical effectiveness of the proposed method of this paper is verified by comparing the simulation results with that of the original algorithm and rollover test.