The 3-DOF rollover model has been established by the Lagrangian second-class equation, taking the road inclination angle, the\nsteering strategy, and the hydropneumatic suspension characteristics into consideration. A 3-layer BP (backpropagation) neural\nnetwork is applied to predict the road inclination angle and to optimize the rollover model in real-time.The number of the hidden\nlayer neurons for the BP network is also discussed.The numerical calculation of the optimized rollover model is in good agreement\nwith the full-scale vehicle test. Different rollover indexes are compared, and the results indicate that the rollover index of dynamic\nLTR optimized by the BP neural network can evaluate the rollover tendencymore accurately in the ramp steering test and the snake\nsteering test. This study provides practical meanings for developing a rollover warning system.
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