Abstract
Beam structure is the most basic component or component in construction engineering. The research on beam structure is not only of great theoretical and engineering significance, but also can provide some reference for the study of plate and complex structure. In addition, the beam structure is also considered as the solidification model of the pipeline, and the in-depth study of the beam structure is helpful to solve the pipeline problem. Therefore, this paper takes the cantilever structure as an example to study its non-linear vibration system, and puts forward the corresponding optimal control strategy.
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References
Liao, H.T., Li, M.Y., Zhao, Q.Y., Huang, J.P., Fu, M.: Leaf disc. Review of frequency domain analysis methods for structural nonlinear vibration. Aviat. Sci. Technol. 29(09), 1–10 (2018)
Xiao, W., Huo, R.D., Li, H.C., Gao, S.Y., Pang, F.Z.: Application of improved fourier method in vibration analysis of beam structures. Noise Vib. Control 39(01), 10–15 (2018)
He, L.L., Guo, Q.G., Zhou, X.L., Yuan, D.X.: Robust active control optimization of cantilever beam structural vibration system. Highw. Transp. Sci. Technol. 34(08), 145–151 (2017)
Zhang, P.F., Fu, W., Su, H.C., Wu, J.J.: Structural nonlinear parameter identification based on random vibration response. Spacecr. Environ. Eng. 34(06), 604–610 (2017)
Zhao, B.B., Huang, C.H., Jin, B., Wen, W.: The influence of temperature variation on the nonlinear vibration and characteristics of different boundary beams. Q. J. Mech. 38(03), 496–502 (2017)
Zhang, W., Chen, Y., Cao, D.X.: Computation of normal forms for eight-dimensional nonlinear dynamical system and application to a viscoelastic moving belt. Int. J. Nonlinear Sci. Numer. Simul. 7(1), 35–58 (2006)
Nazemnezhad, R., Hosseini-Hashemi, S.: Nonlocal nonlinear free vibration of functionally graded nanobeams. Compos. Struct. 110(110), 192–199 (2014)
Wu, Q.X., Wang, W.P., Chen, B.C.: Finite element analysis for nonlinear vibration of cable-beam structure. Eng. Mech. 30(3), 288–347 (2013)
Seunghye, L., Minhee, S., Ki, Y.B., Jin, W., Jeong, S., Myung, K., Jaehong, L.: Experimental study of two-way beam string structures. Eng. Struct. 191, 563–574 (2019)
Zhang, Q.C., Tian, R.L., Li, X.T.: General program of calculating the simplest normal forms for high-dimensional nonlinear dynamical systems. J. Vib. Eng. 21(5), 436–440 (2008). (in Chinese)
Li, F.M., Sun, C.C., Wang, Y.Z., Huang, W.H.: Vibration stability of the parametrically excited nonlinear piezoelectric beams. J. Vib. Eng. 21(5), 441–445 (2008). (in Chinese)
Chen, Z., Xue, D.Y., Hao, L.N., Xu, X.H.: On the optimal control of active vibration of a smart piezoelectric cantilever beam. J. Northeast. Univ. (Nat. Sci.) 31(11), 1550–1553 (2010). (in Chinese)
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Jiang, J., Chen, C., Bo, L., Wang, Z. (2020). Optimal Control Strategy for Nonlinear Vibration of Beam Structures. In: Xu, Z., Parizi, R., Hammoudeh, M., Loyola-González, O. (eds) Cyber Security Intelligence and Analytics. CSIA 2020. Advances in Intelligent Systems and Computing, vol 1146. Springer, Cham. https://doi.org/10.1007/978-3-030-43306-2_65
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DOI: https://doi.org/10.1007/978-3-030-43306-2_65
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