Application of force reconstruction based on an improved Tikhonov regularization scheme

抄録

The results of classical Tikhonov regularization method to identify the impact force will always be stable signals. To solve this problem, this paper proposes a semi-cosine function fitting method (SCFF) which uses semi-cosine functions as the basis functions to fit impact forces, and combines genetic algorithm to optimize the parameters; The mathematical solution expression can be obtained without iterative calculation, and the calculation efficiency is high. In this paper, the numerical results of a truss structure show that SCFF method will obtain accurate solutions and it has good robustness which illustrates that SCFF method owns great engineering application prospects.