Nonlinear dynamics simulation of the composite reinforced annular system using harmonic differential quadrature framework

• Autores: Wenyu Zheng, Xifeng Yang, Yi Liu, Jun Xu, Hu Jia, Jingyi Ren
• Localización: Mechanics based design of structures and machines, ISSN 1539-7734, Vol. 51, Nº. 9, 2023, págs. 4847-4873
• Idioma: inglés
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• Resumen

  • In this research, for the first time, a nonlinear dynamic model for large oscillation and the disk’s chaotic responses is presented. The material of the annual disk is composite layer reinforced by graphene oxide (GO) nanofillers and macro carbon fibers (CFs) and covered with a piezoelectric layer. The kinematic and nonlinear constitutive dynamic equations of the disk isare obtained by the use of the Von-Karman nonlinear theory alongside with the Hamilton’s principle. The derived nonlinear equations coupled with boundary conditions are solved numerically employing harmonic differential quadrature method (HDQM). The multiple scales method also used in the evaluation of primary resonance of the disk. The results show that inside to outside radii ratio, thickness to radius ratio as geometrical parameters, and loading condition including applied voltage and harmonic load have a substantial impact the nonlinear large oscillation, and chaotic motion of the composite disk covered with piezoelectric layer. The most interesting and significant outcome of this article is that with increasing the thickness of the piezoelectric layer, the system’s nonlinear frequency decreases and the area of instability in responses and maximum amplitude or the peak point of the backbone curve of the smart disk increases. Moreover, as the CF’s weight fraction increases, the system’s motion and dynamics change from chaotic to semi-harmonic.