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| Vibration localization of a mistuned bladed disk system with friction and gap |
| ZENG Hai-nan1,2，CAO Shu-qian1,2，SU Yong-lei3 |
1. School of Mechanical Engineering, Tianjin University, Tianjin 300072, China;
2. Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control, Tianjin 300072, China;
3. Key Laboratory of High performance and Complex Manufacturing of Central University, Changsha 410083, China |
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Abstract Based on the lumped parameter model of a bladed disk, vibration localization of the mistuned bladed disk has been investigated as a function of nonlinear parameters such as dry friction and gap in the connection between blade tenton and mortise. For different coupling stiffness systems, the natural frequencies and resonance response are discussed under random mistuning of the blades stiffness. The results show that vibration localization appears in the tuned system with nonlinear factors. Using amplitude magnification factor (AMF), vibration response localization of the linear and nonlinear mistuned bladed disk has been explored, which uncovers the existence of AMF’s threshold. And the degree of vibration response localization of the mistuned system reduces because of nonlinear dry friction and gap. The analysis of nonlinear tuned system turns out that, with different excitation frequencies, nonlinear dynamics behaviors such as non-harmonic periodic-one motion, multi-period harmonic motion and chaotic motion have been revealed. Besides, as mistuning factor exists, the behavior of nonlinear mistuned disk system becomes more complex.
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Received: 10 October 2014
Published: 15 January 2016
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