Abstract
The measured frequency response functions (FRFs) are directly used to identify the bolted joint properties. However, the noise effect and the matrix inverse operations create ill-posed problems, and a small noise level may cause the identified result to be faulty. A sensitivity method is developed to avoid the ill-posed problems for identification of the dynamic parameters of bolted joints in this paper. To calculate the sensitivity of stiffness and damping for bolted joints, the sensitive values are used to determine the frequency ranges before the identification. Then, the equivalent stiffness and damping of bolted joints are identified by FRFs method in this range. All results of simulation and experiment show that the proposed method can improve significantly the identification accuracy. Additionally, the sensitivity method can be used to avoid an ill-posed problem by eliminating ill-posed FRFs in some frequency range before identification.
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Recommended by Associate Editor Ki-Hoon Shin
Ling Li is a lecturer in the School of Mechanical and Electrical Engineering, Xi’an University of Architecture Technology. He graduated from Beijing University of Technology with a Ph.D. in Mechanical Engineering. His research interests include machine dynamics, mechanical behavior of the bolted joints and interfaces of the critical structures, non-linear mechanics, and accuracy design of machine tool.
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Li, L., Cai, A., Guo, T. et al. Solution of ill-posed problems for identification of the dynamic parameters of bolted joints. J Mech Sci Technol 28, 3471–3481 (2014). https://doi.org/10.1007/s12206-014-0808-9
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DOI: https://doi.org/10.1007/s12206-014-0808-9