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Nonlinear vibration of pinned FGP-GPLRC arches under a transverse harmonic excitation: A theoretical study
https://orcid.org/0000-0002-3191-1953
https://orcid.org/0000-0001-9147-1489
Abstract The non-linear in-plane primary resonance of functionally graded porous (FGP) sinusoidal arches made of graphene platelet reinforced composites (GPLRC) subjected a transverse harmonic excitation is investigated in this paper. To eliminate the coupling of inner forces and facilitate the derivation, the neutral plane-based equations of motion are established considering the force and bending moment equilibrium conditions. By utilizing an incremental harmonic balance (IHB) technique, the frequency response features, dynamic time history, and limit cycle under primary resonance and 1/2 super-harmonic resonance are determined. FE analysis is conducted to verify the accuracy of the presented results. To further examine the computational efficiency of IHB procedure, a fourth order Runge–Kutta method is used to determine the structural responses as a counterpart. Comprehensive parametric studies are then carried out, particular focus is paid to the cases of material compositions, geometric properties, and dynamic parameters on the frequency response characteristics. It is found that the increasing porosity coefficient significantly exacerbates the left-inclined softening behaviors of the frequency response curves. On the contrary, the left-inclined effect continues to weaken as the GPL weight fraction gradually grows.
Highlights Primary resonance of an FG-GPLRC arch under a transverse harmonic excitation is studied. An incremental harmonic balance procedure is utilized to determine the dynamic response. Affected parameters on frequency response features are comprehensively analyzed. Fourth-order Runge–Kutta method is used as a counterpart to verify the accuracy of the presented results.
Nonlinear vibration of pinned FGP-GPLRC arches under a transverse harmonic excitation: A theoretical study
https://orcid.org/0000-0002-3191-1953
https://orcid.org/0000-0001-9147-1489
Abstract The non-linear in-plane primary resonance of functionally graded porous (FGP) sinusoidal arches made of graphene platelet reinforced composites (GPLRC) subjected a transverse harmonic excitation is investigated in this paper. To eliminate the coupling of inner forces and facilitate the derivation, the neutral plane-based equations of motion are established considering the force and bending moment equilibrium conditions. By utilizing an incremental harmonic balance (IHB) technique, the frequency response features, dynamic time history, and limit cycle under primary resonance and 1/2 super-harmonic resonance are determined. FE analysis is conducted to verify the accuracy of the presented results. To further examine the computational efficiency of IHB procedure, a fourth order Runge–Kutta method is used to determine the structural responses as a counterpart. Comprehensive parametric studies are then carried out, particular focus is paid to the cases of material compositions, geometric properties, and dynamic parameters on the frequency response characteristics. It is found that the increasing porosity coefficient significantly exacerbates the left-inclined softening behaviors of the frequency response curves. On the contrary, the left-inclined effect continues to weaken as the GPL weight fraction gradually grows.
Highlights Primary resonance of an FG-GPLRC arch under a transverse harmonic excitation is studied. An incremental harmonic balance procedure is utilized to determine the dynamic response. Affected parameters on frequency response features are comprehensively analyzed. Fourth-order Runge–Kutta method is used as a counterpart to verify the accuracy of the presented results.
Nonlinear vibration of pinned FGP-GPLRC arches under a transverse harmonic excitation: A theoretical study
https://orcid.org/0000-0002-3191-1953
https://orcid.org/0000-0001-9147-1489
Abstract The non-linear in-plane primary resonance of functionally graded porous (FGP) sinusoidal arches made of graphene platelet reinforced composites (GPLRC) subjected a transverse harmonic excitation is investigated in this paper. To eliminate the coupling of inner forces and facilitate the derivation, the neutral plane-based equations of motion are established considering the force and bending moment equilibrium conditions. By utilizing an incremental harmonic balance (IHB) technique, the frequency response features, dynamic time history, and limit cycle under primary resonance and 1/2 super-harmonic resonance are determined. FE analysis is conducted to verify the accuracy of the presented results. To further examine the computational efficiency of IHB procedure, a fourth order Runge–Kutta method is used to determine the structural responses as a counterpart. Comprehensive parametric studies are then carried out, particular focus is paid to the cases of material compositions, geometric properties, and dynamic parameters on the frequency response characteristics. It is found that the increasing porosity coefficient significantly exacerbates the left-inclined softening behaviors of the frequency response curves. On the contrary, the left-inclined effect continues to weaken as the GPL weight fraction gradually grows.
Highlights Primary resonance of an FG-GPLRC arch under a transverse harmonic excitation is studied. An incremental harmonic balance procedure is utilized to determine the dynamic response. Affected parameters on frequency response features are comprehensively analyzed. Fourth-order Runge–Kutta method is used as a counterpart to verify the accuracy of the presented results.
Nonlinear vibration of pinned FGP-GPLRC arches under a transverse harmonic excitation: A theoretical study
Liu, Yuanyuan (author) / Liu, Airong (author) / Zhang, Zixiang (author) / Bradford, Mark A. (author) / Yang, Jie (author)
Thin-Walled Structures ; 192
2023-08-08
Article (Journal)
Electronic Resource
English