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The response simulation is studied and the steering safety is evaluated by using finer integration method for driver-vehicle closed-loop system with stationary random road input.This algorithm not only is precise, but also can shorten the evaluation period of steering safety and reduce the tremendous cost for real vehicle testing.The response simulation and the vehicle steering safety evaluation are also studied for the closed-loop system with evolutionary random road input.The study can more truly evaluate vehicle driving for including the slowly varying of vehicle velocity with time.