Quantifying Uncertainties in Nonlinear Dynamics of a Modular Assembly Using the Resonance Decay Method
Abstract
:1. Introduction
2. Ground Demonstrator of Large Structure Assembly
2.1. The Suspension Setup
2.2. The Modular Units and Joints
2.3. The Vibration Control System
2.4. The Measurement System
3. Quantification Procedure and Test Results
3.1. Linear Modal Survey Test
3.2. Nonlinear Resonance Decay Test
4. Conclusions
- (1)
- The proposed quantitation procedure uses backbone curves as measurement targets, which can be efficiently measured using the nonlinear resonance decay method. It is also shown that backbone curves can also accurately describe the uncertainties and nonlinearities of the assembly dynamics;
- (2)
- The modular assembly of the LSA demonstrator showed very weak stiffness nonlinearities (less than 2% softening was observed in natural frequencies), while the damping ratios varied as much as 66.7% with the vibration amplitudes. It certainly highlights the necessity of a dedicated quantification procedure for the damping nonlinearities, which cannot be identified using conventional techniques such as impact testing.
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
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Mode Order | Mode Shape | Theoretically Predicted Natural Frequency (Hz) |
---|---|---|
1 | First bending mode | 0.29 |
2 | Second bending mode | 0.81 |
3 | Thirdbending mode | 1.59 |
4 | Forth bending mode | 2.63 |
5 | Fifth bending mode | 3.94 |
Mode Order | Mode Shape | Natural Frequency (Hz) | Modal Damping Ratio |
---|---|---|---|
1 | First bending mode | 0.23 | |
2 | Second bending mode | 0.80 | 1.9% |
3 | Third bending mode | 1.23 | 1.1% |
4 | First sway mode | 1.73 | 1.1% |
5 | First torsion mode | 2.22 | 2.5% |
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Lin, C.; Zhao, Z.; Wang, Z.; Jiang, J.; Wu, Z.; Wang, X. Quantifying Uncertainties in Nonlinear Dynamics of a Modular Assembly Using the Resonance Decay Method. Actuators 2022, 11, 350. https://doi.org/10.3390/act11120350
Lin C, Zhao Z, Wang Z, Jiang J, Wu Z, Wang X. Quantifying Uncertainties in Nonlinear Dynamics of a Modular Assembly Using the Resonance Decay Method. Actuators. 2022; 11(12):350. https://doi.org/10.3390/act11120350
Chicago/Turabian StyleLin, Chengrong, Ziheng Zhao, Zhenyu Wang, Jianping Jiang, Zhigang Wu, and Xing Wang. 2022. "Quantifying Uncertainties in Nonlinear Dynamics of a Modular Assembly Using the Resonance Decay Method" Actuators 11, no. 12: 350. https://doi.org/10.3390/act11120350
APA StyleLin, C., Zhao, Z., Wang, Z., Jiang, J., Wu, Z., & Wang, X. (2022). Quantifying Uncertainties in Nonlinear Dynamics of a Modular Assembly Using the Resonance Decay Method. Actuators, 11(12), 350. https://doi.org/10.3390/act11120350