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针对冲击载荷识别矩阵大型化、病态性严重的问题,提出了一种基于交替方向乘子法的新型迭代正则化方法并成功应用于冲击载荷识别。建立了冲击载荷识别等式,并通过正则化处理转化为具有可分离结构凸优化问题;其次,将交替方向乘子法应用于冲击载荷识别中,并基于L曲线准则给出了算法获取最优解时的收敛条件;以悬臂梁和高速压力机的冲击载荷识别为例进行了数值研究,验证了该方法的可行性及有效性。分析结果表明提出的冲击载荷识别方法较正则最小二乘法具有更高的精度,识别的高速压力机冲击力更接近于实验值。
Aiming at the problem of large-scale and ill-critical impact recognition matrix, a new iterative regularization method based on alternating direction multiplier method is proposed and applied to impact load recognition successfully. The identification equation of impact load is established and transformed into a convex optimization problem with separable structure through regularization process. Secondly, the alternating direction multiplier method is applied to the impact load identification, and the optimal algorithm is obtained based on L curve criterion The convergence condition of the solution is obtained. Numerical simulation is carried out using the impact load identification of cantilever beam and high-speed press as an example. The feasibility and effectiveness of the method are verified. The analysis results show that the proposed method of impact load identification has higher precision than the regular least square method, and the impact force of high speed press identified is closer to the experimental value.