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For the problems of large-size equation, and severe ill-posed matrix in the impact force identification, a new iterative regularization method was proposed by alternating direction method of multipliers (ADMM) and successfully applied to the impact force identification. Firstly, the impact force identification equation was established and converted into a convex optimization problem with separate structure through regularization. Then, the ADMM method was applied to the impact force identification, and convergence condition of optimal solution was given by L curve criterion. Finally, numerical researches were carried out with cantilever beam and high-speed press suffering from impact forces, which verified the feasibility and effectiveness of the method. The analysis results indicate that the impact force identification method has a higher accuracy than regularized least squares, and the value of the identified impact force under high-speed press is closer to the experimental result.
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