磁致伸缩作动器的参数振动问题
收稿日期: 2013-01-15
修回日期: 2013-05-02
网络出版日期: 2013-05-09
基金资助
国家自然科学基金(91016006)
Parametric Vibration in Magnetostrictive Actuator
Received date: 2013-01-15
Revised date: 2013-05-02
Online published: 2013-05-09
Supported by
National Natural Science Foundation of China (91016006)
李琳 , 薛铮 , 景旭贞 . 磁致伸缩作动器的参数振动问题[J]. 航空学报, 2013 , 34(10) : 2427 -2434 . DOI: 10.7527/S1000-6893.2013.0250
Elastic modulus E of giant magnetostrictive materials changes with themagnetic field and the stress, which is known as the ΔE effect. This paper proposes a dynamic model of magnetostrictive actuator that takes into consideration the ΔE effect. The feature of the model is the existence of both parametric excitation and external excitation, which is different from ordinary parametric vibration or forced vibration. The perturbation method is applied to solve and analyze the model. The spectrum charateristics and resonance frequency of parameter vibration are obtained. The danger of such structures under excitation of sub-harmonic resonance is analyzed by means of stability analysis in combination with an analysis based on the stability theorem considering external excitation. The amplitude of sub-harmonic resonance is considered when the frequency of the driving current is equal to 1/2 inherent frequency of the actuator. The conclusions obtained can be used as reference in the design of giant magnetostrictive actuators and smart structures with magnetostrictive materials.
[1] Clark A E. Ferromagnetic materials. Amsterdam: North Holland Publishing Company, 1980: 531-587.
[2] Zhang Y Y, Li L. Research of the electro-magneto-elastic integral dynamic characteristics of the magnetostrictive actuator. Proceedings of SPIE, 2005, 5649: 454-462.
[3] Gu Z Q, Zhu J C, Peng F J, et al. Study on the application of magnetostrictive actuator for active vibration control. Journal of Vibration Engineering, 1998, 11(4): 381-388. (in Chinese) 顾仲权, 朱金才, 彭福军, 等. 磁致伸缩材料作动器在振动主动控制中的应用研究. 振动工程学报, 1998, 11(4): 381-388.
[4] Zhang T L, Jiang C B, Zhang H, et al. Giant magnetostrictive actuators for active vibration control. Smart Materials and Structures, 2004, 13(3): 473-477.
[5] Nakamura Y, Nakayama M, Masuda K, et al. Development of 6-DOF microvibration control system using giant magnetostrictive actuator. Proceedings of SPIE, 1999, 3671: 229-240.
[6] Moon S J, Lim C W, Kim B H, et al. Structural vibration control using linear magnetostrictive actuators. Journal of Sound and Vibration, 2007, 302(4): 875-891.
[7] Smith R C, Dapino M J, Seelecke S. Free energy model for hysteresis in magnetostrictive transducers. Journal of Applied Physics, 2003, 93(1): 458-466.
[8] M J Dapino, Smith R C, Flatus A B. A model for the ΔE effect in model in magnetostrictive transducers. Proceedings of SPIE, 2000, 3985:174-185.
[9] Tan X B, Baras J S. Modeling and control of hysteresis in magnetostrictive actuators. Automatica, 2004, 40(9): 1469-1480.
[10] Bottauscio O, Roccato P E, Zucca M. Modeling the dynamic behavior of magnetostrictive actuators. IEEE Transactions on Magnetics, 2010, 46(8): 3022-3028.
[11] Olabi A G. Design of a magnetostrictive (MS) actuator. Sensors and Actuators, 2008, 144(1): 161-175.
[12] Sarawate N N, Dapino M J. A dynamic actuation model for magnetostrictive materials. Smart Materials and Structures, 2008, 17(6): 065013.
[13] Zheng X J, Liu X E. A nonlinear constitutive model for Terfenol-D rods. Journal of Applied Physics, 2005, 97(5): 053901.
[14] Bolotin V V. The dynamic stability of elastic systems. San Francisco: Holden-day, 1964:10-51.
[15] Turhan Ö. A generalized Bolotins method for stability limit determination of parametrically excited systerms. Journal of Sound and Vibration, 1998, 216(5): 851-863.
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