Flapwise free vibration characteristics of a rotating composite thin-walled beam under aerodynamic force and hygrothermal environment

Qin, Yin; Li, X.; Yang, Echuan; Li, Y.H.

doi:10.1016/j.compstruct.2016.06.057

Cited by 40 publications

(5 citation statements)

References 20 publications

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“…The results of the stability analysis discussed above, when excluding the terms related to the variable cross‐section denoted as “

{m}_n

,” can be compared with the stability analysis results eq. (54) presented in [14]. This serves as a side validation of the accuracy of the nonlinear computations in this paper.…”

Section: Parametric Vibration Analysismentioning

confidence: 54%

“…In both parametric resonances near the first and second frequencies, compared to other literature [14], the resonance points have shifted earlier. Reviewing the semi‐analytical solution, we observe that this shift is caused by the inertia term introduced by the variable cross‐section.…”

Section: Numerical Examplesmentioning

confidence: 56%

“…Due to the significance of rotating thin‐walled beam structures, a considerable number of researchers have been attracted to study their dynamic behavior from both linear [5, 6] and nonlinear [7–10] perspectives. The main areas of investigation include the free vibration [11, 12], forced vibration [12, 13], and parametric vibration [14, 15] of rotating thin‐walled beams. Nonlinear parametric vibration induced by time‐varying rotational speeds over time is one of the crucial research domains in this context.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Nonlinear parametric vibration analysis of the rotating thin‐walled functionally graded material hyperbolic beams

Liu,

Tang,

Jiang

et al. 2023

Math Methods in App Sciences

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This paper presents a nonlinear model for analyzing the behavior of functionally graded material Euler‐Bernoulli thin‐walled beams with varying cross‐sections, while considering periodic perturbations in the rotating speed. The study focuses on an analytical exploration of the natural frequency and amplitude frequency response associated with the nonlinear parametric vibrations within this system. Initially, the governing differential equations for the transverse vibrations of the beams are derived through Hamiltonian principle. Subsequently, the perturbation method is employed to solve the established equations, and Galerkin method is adopted to determine the mode shapes and frequencies. Furthermore, this research extensively examines the influence of significant parameters on the vibration characteristics of the system.

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“…The results of the stability analysis discussed above, when excluding the terms related to the variable cross‐section denoted as “

{m}_n

,” can be compared with the stability analysis results eq. (54) presented in [14]. This serves as a side validation of the accuracy of the nonlinear computations in this paper.…”

Section: Parametric Vibration Analysismentioning

confidence: 54%

Section: Numerical Examplesmentioning

confidence: 56%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Nonlinear parametric vibration analysis of the rotating thin‐walled functionally graded material hyperbolic beams

Liu,

Tang,

Jiang

et al. 2023

Math Methods in App Sciences

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“…Li [34] analyzed the effects of hygrothermal conditions on nonlinear parametric resonances of laminated cylindrical shells. Qin et al [35,36] investigated the effects of aerodynamic force and installation mode on hygrothermal vibration of rotating laminated composite beams. Bandyopadhyay et al [37] investigated transient dynamic response of composite conical shells under hygrothermal load and low-velocity impact.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of a Spinning Composite Laminated Truncated Conical Shell under Hygrothermal Environment

Zhang

Zhou

2022

Symmetry

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This paper is concerned with free vibration characteristics of a spinning composite laminated truncated conical shell subjected to hygrothermal environment. Hygrothermal strains are introduced into the constitutive law of single-layer material, and fiber orientation lies symmetrically with respect to the midplane of the composite shell. Considering the spin-induced Coriolis and centrifugal forces, as well as initial hoop tension, the governing equations of free vibration of the composite conical shell with hygrothermal effects are derived on the basis of Love’s thin-shell theory and Hamilton’s principle. The solution of the equations is derived using the Galerkin approach. Then, a detailed parametric study on natural frequencies and critical spinning speeds is numerically performed. Results indicate that the Coriolis force induces an asymmetric influence on natural frequencies of forward and backward traveling waves, while the centrifugal force enhances the frequencies of both traveling waves symmetrically. Initial hoop tension plays a major role in the increase of critical spinning angular speed. Temperature, moisture concentration, and design parameters show the significant influence on the free vibration characteristics of the conical shell, and thermal expansion deformation is nonnegligible in the free vibration analysis.

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“…A dynamic analysis is performed of rotors with internal damping; this analysis differs from the traditional approach for rotors because the viscoelastic material properties are a function of many parameters, such as the frequency of excitation and temperature [16]. The hygrothermal environment around the shaft also can influence the behavior and the properties in composite shafts, many studies are been carried out in this [17,18]. A series of numerical simulations is then performed to evaluate the influence of the laminate layup on the mechanical properties of the composite shaft; additional simulations demonstrate the influence of these properties on the dynamic behavior of the rotor.…”

Section: Introductionmentioning

confidence: 99%

The dynamic analysis of rotors mounted on composite shafts with internal damping

Mendonça

Medeiros

Pereira

et al. 2017

Composite Structures

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This paper presents a study on the dynamic analysis of rotors mounted on composite shafts. The dynamic analysis of these rotors differs from conventional analysis due to the existence of internal damping in the shaft. The shafts are made of composite materials, which exhibit viscoelastic behavior. The equations of motion for these rotors represent the influence of internal damping on the dynamic behavior of the rotor system. Composite materials can be manufactured using different layups. This study reviews the methodology that can be used to predict the equivalent mechanical properties of composite shafts. Several finite element simulations are presented to show the influence of the composite shaft layup on the dynamic behavior of the rotor. The simulation results are used to present the influence of the layup on Campbell diagrams, critical speeds, instability thresholds and frequency response functions.

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Flapwise free vibration characteristics of a rotating composite thin-walled beam under aerodynamic force and hygrothermal environment

Cited by 40 publications

References 20 publications

Nonlinear parametric vibration analysis of the rotating thin‐walled functionally graded material hyperbolic beams

Nonlinear parametric vibration analysis of the rotating thin‐walled functionally graded material hyperbolic beams

Free Vibration Analysis of a Spinning Composite Laminated Truncated Conical Shell under Hygrothermal Environment

The dynamic analysis of rotors mounted on composite shafts with internal damping

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