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Solution of ill-posed problems for identification of the dynamic parameters of bolted joints
Ling Li,Anjiang Cai,Tieneng Guo,Xiaoguang Ruan 대한기계학회 2014 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.28 No.9
The measured frequency response functions (FRFs) are directly used to identify the bolted joint properties. However, the noise effectand the matrix inverse operations create ill-posed problems, and a small noise level may cause the identified result to be faulty. A sensitivitymethod is developed to avoid the ill-posed problems for identification of the dynamic parameters of bolted joints in this paper. Tocalculate the sensitivity of stiffness and damping for bolted joints, the sensitive values are used to determine the frequency ranges beforethe identification. Then, the equivalent stiffness and damping of bolted joints are identified by FRFs method in this range. All results ofsimulation and experiment show that the proposed method can improve significantly the identification accuracy. Additionally, the sensitivitymethod can be used to avoid an ill-posed problem by eliminating ill-posed FRFs in some frequency range before identification.