CHAOTIC MOTION AND ITS CONTROL FOR A NON-PLANAR NON-LINEAR CANTILEVER BEAM WITH PARAMETRIC EXCITATION

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MARZBANRAD J.; SEYDI MORTEZA; SALEHI MARZIJARANI HOSSEIN

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Journal: INTERNATIONAL JOURNAL OF ADVANCED DESIGN AND MANUFACTURING TECHNOLOGY Year:2007 | Volume:1 | Issue:1 (1) Page(s): 17-26

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Title

CHAOTIC MOTION AND ITS CONTROL FOR A NON-PLANAR NON-LINEAR CANTILEVER BEAM WITH PARAMETRIC EXCITATION

Author(s)

MARZBANRAD J. | SEYDI MORTEZA | SALEHI MARZIJARANI HOSSEIN | Issue Writer Certificate

Keywords

CHAOTIC MOTIONQ3

PARAMETRIC EXCITATIONQ3

CANTILEVER BEAMQ3

VIBRATION CONTROLQ2

Abstract

In this paper, CHAOTIC MOTION analysis and its control for a non-planar non-linear CANTILEVER BEAM with axial and lateral PARAMETRIC EXCITATION in the free end is accomplished. This is a new method for control of CHAOTIC MOTION of a non-linear planar beam. In this survey, internal resonance of the beam is 2:1 and the initial resonance is in the outside of plane and it is assumed a sub-resonance for inner plane. The beam is modeled with Lagrange method. Then, multi comparison method is used for system transformation of parametric and external excitation to the averaged equation where the constant load applied to them. Finally, with the usage of numerical simulation, an open loop control is designed for CHAOTIC MOTION of non-planar CANTILEVER BEAM which excited in the free end to reduce the beam vibration in one axis. The results are presented in the curves to show the limit of stability.

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APA: Copy

MARZBANRAD, J., SEYDI, MORTEZA, & SALEHI MARZIJARANI, HOSSEIN. (2007). CHAOTIC MOTION AND ITS CONTROL FOR A NON-PLANAR NON-LINEAR CANTILEVER BEAM WITH PARAMETRIC EXCITATION. INTERNATIONAL JOURNAL OF ADVANCED DESIGN AND MANUFACTURING TECHNOLOGY, 1(1 (1)), 17-26. SID. https://sid.ir/paper/172374/en

Vancouver: Copy

MARZBANRAD J., SEYDI MORTEZA, SALEHI MARZIJARANI HOSSEIN. CHAOTIC MOTION AND ITS CONTROL FOR A NON-PLANAR NON-LINEAR CANTILEVER BEAM WITH PARAMETRIC EXCITATION. INTERNATIONAL JOURNAL OF ADVANCED DESIGN AND MANUFACTURING TECHNOLOGY[Internet]. 2007;1(1 (1)):17-26. Available from: https://sid.ir/paper/172374/en

IEEE: Copy

J. MARZBANRAD, MORTEZA SEYDI, and HOSSEIN SALEHI MARZIJARANI, “CHAOTIC MOTION AND ITS CONTROL FOR A NON-PLANAR NON-LINEAR CANTILEVER BEAM WITH PARAMETRIC EXCITATION,” INTERNATIONAL JOURNAL OF ADVANCED DESIGN AND MANUFACTURING TECHNOLOGY, vol. 1, no. 1 (1), pp. 17–26, 2007, [Online]. Available: https://sid.ir/paper/172374/en

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