Simultaneous resonance and stability analysis of unbalanced asymmetric thin-walled composite shafts

Bavi, Reza; Hajnayeb, Ali; Sedighi, Hamid M.; Shishesaz, Mohammad

doi:10.1016/j.ijmecsci.2021.107047

Cited by 18 publications

(2 citation statements)

References 76 publications

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“…The vibration and buckling of functionally graded Graphene nanoplatelets reinforced composite structures were reported in detail by Arshid et al (2019Arshid et al ( , 2020Arshid et al ( , 2022, Soleimani-Javid et al (2022), and Khorasani et al (2021). Bavi et al (2022) considered the combined effects of asymmetry and geometrical nonlinearity on the stability of composite shafts. Using the extended Hamilton's principle, the nonlinear oscillations and stability of the unbalanced asymmetric thin-walled composite shaft are investigated.…”

Section: Introductionmentioning

confidence: 99%

Vibration and stability analysis of a spinning shaft with arbitrary boundaries subjected to partial load

Wang

Feng

Xie

et al. 2023

Journal of Vibration and Control

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This paper deals with the flexural vibration and dynamic stability of a spinning shaft subjected to partial load. Based on the theorem of moment of momentum and the theorem of motion of center of mass, the governing equation of motion for the spinning shaft system is obtained. Four kinds of boundary conditions including pinned-pinned, clamped-clamped, free-free, and elastic supports are considered. The exact whirl frequency equation is derived analytically for different boundary conditions. The obtained model is confirmed by comparing with the results reported in the available literature, and excellent agreement is presented. A numerical investigation is carried out to examine the effects of support stiffness, mass ratio, eccentric distance, and slenderness ratio on the whirl characteristics and stability of the system in terms of the obtained model. The results show that the whirl frequency and critical spinning speed of the system are dependent on these parameters, and the stability is mainly governed by the mass ratio and eccentric distance.

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Section: Introductionmentioning

confidence: 99%

Vibration and stability analysis of a spinning shaft with arbitrary boundaries subjected to partial load

Wang

Feng

Xie

et al. 2023

Journal of Vibration and Control

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“…The stability of an imbalanced composite shaft is simultaneously addressed in Ref. [39] along with the effects of asymmetry and geometrical non-linearity. Hamilton's principle has been applied to generate parametrically excited equations of motion, in which the inequalities in the lateral shaft bending stiffnesses in these equations lead to parametric excitations.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of the stability of a two degrees-of-freedom dynamical system

Amer

Ismail

Amer

2023

Journal of Low Frequency Noise, Vibration and Active Control

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This work studies a two degrees-of-freedom (DOF) dynamical system whose governing system is solved analytically using the multiple scales approach (MSA). The solvability requirements are obtained in light of the elimination of secular terms. All resonance states are classified to understand the equilibrium of the dynamical system. Two of them are examined in parallel to get the associated equations for the system’s modulation. All probable fixed points are identified at the states of stability and instability using the criteria of Routh-Hurwitz (RH). The curves of resonance and the system’s behavior during the motion are plotted and analyzed. The numerical solutions (NS) of the governing system are obtained using the method of Runge-Kutta fourth-order, and they are compared with the analytical solutions (AS). The comparison reveals high consistency between them and proves the accuracy of the MSA. To determine the positive effects of different parameters on the motion, stability zones are studied from the perspective of their graphs. The applications of such works are very important in our daily lives and were the reason for the development of several things, including protection from earthquakes, car shock absorbers, structure vibration, human walking, television towers, high buildings, and antennas.

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Photothermal-induced interactions in a semiconductor solid with a cylindrical gap due to laser pulse duration using a fractional MGT heat conduction model

2023

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Simultaneous resonance and stability analysis of unbalanced asymmetric thin-walled composite shafts

Cited by 18 publications

References 76 publications

Vibration and stability analysis of a spinning shaft with arbitrary boundaries subjected to partial load

Vibration and stability analysis of a spinning shaft with arbitrary boundaries subjected to partial load

Evaluation of the stability of a two degrees-of-freedom dynamical system

Photothermal-induced interactions in a semiconductor solid with a cylindrical gap due to laser pulse duration using a fractional MGT heat conduction model

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