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A new six-degrees of freedom model designed for a composite plate through PPF controllers

Authors :
H. S. Bauomy
A. T. EL-Sayed
Source :
Applied Mathematical Modelling. 88:604-630
Publication Year :
2020
Publisher :
Elsevier BV, 2020.

Abstract

The idea of this manuscript is to convert nonlinear positive position feedback (PPF) controllers with symmetric cross-ply composite piezoelectric laminated plates among mixed excitations. A new six degrees of freedom model simulating nonlinear vibrations (NVs) of a composite plate has proposed. The perturbation technique has used to study the transient and steady-state response of nonlinear dynamic equations that presented the main system. The stability of the system via frequency response curves (FRCs) and force response curves (FRCs) have discussed and calculated. The effect on every coefficient's system has considered numerically. A comparison has been made between PPF controller and another control Nonlinear Saturation Control (NSC) to show the amount of vibration reduction produced by the system using PPF control is better than that NSC. Numerical outcomes show that PPF methods have big effects on reducing vibrations of the amplitudes. Then, the predictions from numerical simulations are in excellent harmony with frequency response curves. Lastly, the comparison with newly available papers has been reported.

Details

ISSN :
0307904X
Volume :
88
Database :
OpenAIRE
Journal :
Applied Mathematical Modelling
Accession number :
edsair.doi...........f241e147ce04dac09e38b5ec7535db47
Full Text :
https://doi.org/10.1016/j.apm.2020.06.067