journal article·2020-02-11Open access

Nonlinear System Identification of an All Movable Fin with Rotational Freeplay by Subspace-Based Method

Sun Yukai, Yang Chao, Wu Zhigang, Bai Liuyue

Applied Sciences· Volume 10· Issue 4

Abstract

To interpret the nonlinear system identification of multi-degree-of-freedom vibrating structures with freeplay, an estimation procedure based on subspace method in time domain is developed in this paper. Two types of freeplay, namely, central freeplay and offset freeplay, are estimated. Besides, the frequency response function matrices of the underlying linear system and overlying linear system are identified. By considering an all movable fin from a portion of a supersonic flutter test platform containing freeplay on the rigid rotating motion, two series of numerical experiments are applied for demonstration. Results show that the proposed approach indicates a high and reliable recognition of freeplay regions and the nominal linear system. The limitations of the method in this study are also discussed.
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Research context

OpenAlex topics: Structural Health Monitoring Techniques · Bladed Disk Vibration Dynamics · Hydraulic and Pneumatic Systems

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, China

Funding

National Natural Science Foundation of China

References (39)

Show source-provided references
1. Past, present and future of nonlinear system identification in structural dynamics10.1016/j.ymssp.2005.04.008 ↗
2. Nonlinear regenerative chatter in turning10.1016/S0736-5845(00)00043-0 ↗
3. Sufficient conditions for the stability of single and multiple regenerative chatter10.1016/S0960-0779(01)00236-3 ↗
4. Delay dynamical systems and applications to nonlinear machine-tool chatter10.1016/S0960-0779(02)00407-1 ↗
5. Stability prediction in straight turning of a flexible workpiece by collocation method10.1016/j.ijmachtools.2011.11.008 ↗
6. Regenerative vibration avoidance due to tool tangential dynamics in interrupted turning operations10.1016/j.jsv.2014.03.028 ↗
7. Preventing chatter vibrations in heavy-duty turning operations in large horizontal lathes10.1016/j.jsv.2014.12.002 ↗
8. Spindle speed variation technique in turning operations: Modeling and real implementation10.1016/j.jsv.2016.07.033 ↗
9. Urbikain, G., Olvera, D., López de Lacalle, L.N., Beranoagirre, A., and Elías-Zuñiga, A. (2019). Prediction Methods and Experimental Techniques for Chatter Avoidance in Turning Systems: A Review. Appl. Sci., 9.10.3390/app9214718 ↗
10. Analysis of nonlinear vibrations and dynamic responses in a trapezoidal cantilever plate using the Rayleigh-Ritz approach combined with the affine transformation
11. A nonparametric identification technique for nonlinear dynamic problems10.1115/1.3424568 ↗
12. Input-output parametric models for nonlinear systems, part I: Deterministic nonlinear systems10.1080/0020718508961129 ↗
13. Input-output parametric models for nonlinear systems, part II: Stochastic nonlinear systems10.1080/0020718508961130 ↗
14. Nonlinear system vibration analysis using the Hilbert transform—I. Free vibration analysis method ‘FREEVIB’10.1006/mssp.1994.1011 ↗
15. Nonlinear system vibration analysis using the Hilbert transform—II. Forced vibration analysis method ‘FORCEVIB’10.1006/mssp.1994.1023 ↗
16. Non-linear parameter using Volterra and Wiener theories10.1006/jsvi.1998.1984 ↗
17. Nonlinear system identification in structural dynamics: 10 more years of progress10.1016/j.ymssp.2016.07.020 ↗
18. An iterative method for the identification of nonlinear systems using a Hammerstein model10.1109/TAC.1966.1098387 ↗
19. A noniterative method for identification using Hammerstein model10.1109/TAC.1971.1099787 ↗
20. Non-linear system identification using the Hammerstein model10.1080/00207727908941603 ↗
21. Estimation of an N–L–N Hammerstein–Wiener model10.1016/S0005-1098(02)00062-6 ↗
22. Initial estimates of Wiener and Hammerstein Systems using multisine excitation10.1109/19.982982 ↗
23. Spectral techniques for nonlinear systems analysis and identification10.1155/1993/438416 ↗
24. A procedure for the identification of linear and nonlinear multi-degree-of freedom systems10.1016/0022-460X(91)90444-O ↗
25. Identification of multi-degree-of-freedom nonlinear systems under random excitation by the “reverse path” spectral method10.1006/jsvi.1998.1522 ↗
26. A frequency domain method for estimating the parameters of a nonlinear structural dynamic model through feedback10.1006/mssp.2000.1292 ↗
27. A time domain approach for identifying nonlinear vibration structures by subspace methods10.1016/j.ymssp.2007.04.002 ↗
28. Frequency-domain subspace identification for nonlinear mechanical systems10.1016/j.ymssp.2013.06.034 ↗
29. Subspace-based identification of a nonlinear spacecraft in the time and frequency domains10.1016/j.ymssp.2013.10.016 ↗
30. Identification of nonlinear multi-degree-of freedom structures based on Hilbert transformation10.1007/s11433-013-5218-y ↗
31. Identification of nonlinear structures by the conditioned reverse path method10.2514/1.C032424 ↗
32. Identification of clearance-type nonlinearities10.1016/j.ymssp.2007.11.004 ↗
33. Overschee, P.V., and Moor, B.D. (1996). Subspace Identification for Linear Systems: Theory-Implementation-Applications, Kluwer Academic Publishers.
34. Overschee, P.V., and Moor, B.D. (1993, January 1). N4SID: Numerical algorithms for state space subspace system identification. Proceedings of the World Congress of the International Federation of Automatic Control, IFAC, Sydney, Australia.
35. Identification of the deterministic part of MIMO state space models given in innovations form from input-output data10.1016/0005-1098(94)90229-1 ↗
36. Larimore, W.E. (1990, January 5–7). Canonical variate analysis in identification, filtering and adaptive control. Proceedings of the 29th Conference on Decision and Control, Honolulu, HI, USA.10.1109/CDC.1990.203665 ↗
37. Dimitriadis, G. (2017). Introduction to Nonlinear Aeroelasticity, John Wiley & Sons, Inc.10.1002/9781118756478 ↗
38. MSC Nastran User’s Manual (2012). Getting Started with MSC Nastran User’s Guide, MSC Software Co.
39. Dynamic Design Solutions NV (2014). Getting Started with FEMtools Version 3.7.1, Dynamic Design Solutions NV.