Abstract
Although the time-domain aeroelastic analysis of the fin-actuator system is accurate, it is very time-consuming. Some work in the past used the describing function method to calculate the dynamic stiffness of the actuator, and then obtained the aeroelastic stability of the system in the frequency domain. This greatly shortened the time, but there was a loss in accuracy. In order to improve the accuracy and speed up the calculation to a certain extent, this paper uses high order harmonics to describe the response of the system. The frictional hysteresis loop is difficult to obtain a closed-form solution in the frequency domain. In this paper, a truncated Taylor series expansion is used to smooth the LuGre friction model so that the harmonic balance method can be used. The pseudo-arclength continuation method is used to solve the problem, and the bifurcation diagram of the limit cycle of the system is obtained. The results show that the method used in this paper has achieved a balance between time and accuracy in calculating the aeroelastic stability of the fin-actuator system.
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References
Librescu, L., Marzocca, P.: Advances in the linear/nonlinear control of aeroelastic structural systems. Acta Mech. 178(3), 147–186 (2005)
Yehezkely, E., Karpel, M.: Nonlinear flutter analysis of missiles with pneumatic fin actuators. J. Guid. Control Dyn. 19(3), 664–670 (1996)
Kim, S.H., Tahk, M.-J.: Dynamic stiffness transfer function of an electromechanical actuator using system identification. Int. J. Aeronaut. Space Sci. 19(1), 208–216 (2018). https://doi.org/10.1007/s42405-018-0005-7
Lu, J., Wu, Z., Yang, C.: High-fidelity fin-actuator system modeling and aeroelastic analysis considering friction effect. Appl. Sci. 11(7), 3057 (2021)
Shin, W.-H., Lee, I., Shin, Y.-S., Bae, J.-S.: Nonlinear aeroelastic analysis for a control fin with an actuator. J. Aircr. 44(2), 597–605 (2007)
Ni, Y.-G., Zhang, W., Lv, Y.: A modified incremental harmonic balance method for 2-DOF airfoil aeroelastic systems with nonsmooth structural nonlinearities. Math. Probl. Eng. 2020, article ID 5767451, 19 p. (2020). https://doi.org/10.1155/2020/5767451
Dowell, E.H.: Aeroelastic limit cycle oscillations in high performance aircraft. limit cycle oscillation and other amplitude-limited self excited vibrations. NATO RTO-MP-AVT-152-KN1 (2008)
Pierre, C., Ferri, A.A., Dowell, E.H.: Multi-harmonic analysis of dry friction damped systems using an incremental harmonic balance method. (1985)
Dimitriadis, G.: Introduction to Nonlinear Aeroelasticity. Wiley, Cham (2017)
Lau, S.L., Cheung, Y.K., Wu, S.Y.: A variable parameter incrementation method for dynamic instability of linear and nonlinear elastic systems. J. Appl. Mech. 49(4), 849–853 (1982)
Govaerts, W.J.F.: Numerical methods for bifurcations of dynamical equilibria. Soc. Ind. Appl. Math., 34–36 (2000)
Keller, H.B.: Numerical solution of bifurcation and nonlinear eigenvalue problems. In: Applications of Bifurcation Theory. Academic Press, New York (1977)
Astrom, K.J., De Wit, C.C.: Revisiting the LuGre model stick-slip motion and rate dependence. IEEE Control Syst. 28(6), 101–114 (2008)
Shin, W.-H., Lee, S.-J., Lee, I., Bae, J.-S.: Effects of actuator nonlinearity on aeroelastic characteristics of a control fin. J. Fluids Struct. 23(7), 1093–1105 (2007)
Gladwell, G.M.L.: Branch mode analysis of vibrating systems. J. Sound Vib. 1(1), 41–59 (1964)
Piccardo, G.: A methodology for the study of coupled aeroelastic phenomena. J. Wind Eng. Ind. Aerodyn. 48(2–3), 241–252 (1993)
Naser, M.F.M., Ikhouane, F.: Hysteresis loop of the LuGre model. Automatica. 59, 48–53 (2015)
Miguel, L.P., de Oliveira Teloli, R., da Silva, S.: Some practical regards on the application of the harmonic balance method for hysteresis models. Mech. Syst. Signal Process (2020)
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Lu, J., Wu, Z., Yang, C. (2022). Aeroelastic Characteristics of Fin-Actuator System Based on High Order Harmonic Balance Method and Pseudo-arclength Continuation. In: Proceedings of the 5th China Aeronautical Science and Technology Conference. Lecture Notes in Electrical Engineering, vol 821. Springer, Singapore. https://doi.org/10.1007/978-981-16-7423-5_58
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DOI: https://doi.org/10.1007/978-981-16-7423-5_58
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