Theoretical and experimental studies on nonlinear oscillations of symmetric cross-ply composite laminated plates

Chen, Jianen; Zhang, W.; Guo, Xiaoqin; Sun, Min

doi:10.1007/s11071-013-0896-6

Cited by 33 publications

(12 citation statements)

References 38 publications

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“…A similar method was developed by Amabili using sliding slots to accommodate various plate sizes and silicon to account for span shortening [7,8]. A similar experimental setup is discussed by Guo et al [9,10] and used by Dumond and Baddour [11], the latter suggesting the use of removable sealant instead of silicon so that time between experimental trials is reduced and plate samples can easily be reused. Unfortunately, the edges of their plates had to be tapered to a point to properly sit in the v-grooves.…”

Section: Methods Validationmentioning

confidence: 99%

Simplified setup for the vibration study of plates with simply-supported boundary conditions

et al. 2019

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Section: Methods Validationmentioning

confidence: 99%

Simplified setup for the vibration study of plates with simply-supported boundary conditions

et al. 2019

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“…Two cases of the amplitude-frequency response curves [48,49] are considered for the cantilevered pipe conveying pulsating fluid:…”

Section: Analysis Of Resonant Responsesmentioning

confidence: 99%

Nonlinear Resonant Responses, Mode Interactions, and Multitime Periodic and Chaotic Oscillations of a Cantilevered Pipe Conveying Pulsating Fluid under External Harmonic Force

2020

Self Cite

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The nonlinear resonant responses, mode interactions, and multitime periodic and chaotic oscillations of the cantilevered pipe conveying pulsating fluid are studied under the harmonic external force in this research. According to the nonlinear dynamic model of the cantilevered beam derived using Hamilton’s principle under the uniformly distributed external harmonic excitation, we combine Galerkin technique and the method of multiple scales together to obtain the average equation of the cantilevered pipe conveying pulsating fluid under 1 : 3 internal resonance and principal parametric resonance. Based on the average equation in the polar form, several amplitude-frequency response curves are obtained corresponding to the certain parameters. It is found that there exist the hardening-spring type behaviors and jumping phenomena in the cantilevered pipe conveying pulsating fluid. The nonlinear oscillations of the cantilevered pipe conveying pulsating fluid can be excited more easily with the increase of the flow velocity, external excitation, and coupling degree of two order modes. Numerical simulations are performed to study the chaos of the cantilevered pipe conveying pulsating fluid with the external harmonic excitation. The simulation results exhibit the existence of the period, multiperiod, and chaotic responses with the variations of the fluid velocity or excitation. It is found that, in the cantilevered pipe conveying pulsating fluid, there are the multitime nonlinear vibrations around the left-mode and the right-mode positions, respectively. We also observe that there exist alternately the periodic and chaotic vibrations of the cantilevered pipe conveying pulsating fluid in the certain range.

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“…The nonlinear oscillations and resonant responses of the simply supported at the four‐edge symmetric cross‐ply composite laminated plates with 1:2 internal resonance are investigated theoretically and experimentally by Chen and Zhang . They analyzed the frequency‐response functions under the consideration of strongly coupled of two modes and discussed the influences of the resonance case on the softening and harding type of nonlinearity with different parameters.…”

Section: Introductionmentioning

confidence: 99%

Global bifurcations of symmetric cross‐ply composite laminated plates with 1:2 internal resonance

Zhang

Chen

2017

Z Angew Math Mech

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This paper investigates the global bifurcations and chaotic dynamics for nonlinear oscillations of symmetric cross‐ply composite laminated plates in case of 1:2 internal resonance. The higher‐dimensional Melnikov method and its extensions developed by Kovatruec˘itruec˘ and Wiggins is employed to analyze the global bifurcations for composite laminated plates. The explicitly sufficient conditions of the existence of Silnikov‐type homoclinic orbits in perturbed phase space are gained, which may lead to chaotic motions for composite laminated plates. Finally, numerical results obtained by fourth‐order Runge‐Kutta method also indicate that there exist the jumping phenomena and chaotic responses for the nonlinear composite laminated plates, which agree with theoretic predictions.

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Theoretical and experimental studies on nonlinear oscillations of symmetric cross-ply composite laminated plates

Cited by 33 publications

References 38 publications

Simplified setup for the vibration study of plates with simply-supported boundary conditions

Simplified setup for the vibration study of plates with simply-supported boundary conditions

Nonlinear Resonant Responses, Mode Interactions, and Multitime Periodic and Chaotic Oscillations of a Cantilevered Pipe Conveying Pulsating Fluid under External Harmonic Force

Global bifurcations of symmetric cross‐ply composite laminated plates with 1:2 internal resonance

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