Aeroelastic instability of an inverted cantilevered plate with cracks in axial subsonic airflow

Zhang, Dechun; Li, Peng; Zhu, Yizhang; Yang, Yiren

doi:10.1016/j.apm.2022.03.019

Cited by 10 publications

(1 citation statement)

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“…The problem of subsonic aeroelasticity of plates focuses on the fluid-structure coupling between the structure and the airflow [9,10]. The variety of parameters, such as mass, damping and stiffness of the structure under the action of subsonic airflow affects the critical instability and nonlinear vibration characteristics of the structure [2,11]. The assumption of small deformation in its research is no longer applicable, the equilibrium state of the structure after force deformation presents obvious geometric differences relative to the undeformed structure, and the geometric nonlinear factors caused by the load-bearing and deformation state of the structure make the structural static and dynamic characteristics change, and change the static and dynamic aeroelastic coupling relationship, thus making the research and application of aeroelasticity face new challenges.…”

Section: Introductionmentioning

confidence: 99%

Chaotic Motion Analysis for a Coupled Magnetic-Flow-Mechanical Model of the Rectangular Conductive Thin Plate

Wang¹,

Kang²,

Lei³

2023

Computer Modeling in Engineering &Amp; Sciences

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The chaotic motion behavior of the rectangular conductive thin plate that is simply supported on four sides by airflow and mechanical external excitation in a magnetic field is studied. According to Kirchhoff 's thin plate theory, considering geometric nonlinearity and using the principle of virtual work, the nonlinear motion partial differential equation of the rectangular conductive thin plate is deduced. Using the separate variable method and Galerkin's method, the system motion partial differential equation is converted into the general equation of the Duffing equation; the Hamilton system is introduced, and the Melnikov function is used to analyze the Hamilton system, and obtain the critical surface for the existence of chaos. The bifurcation diagram, phase portrait, time history response and Poincaré map of the vibration system are obtained by numerical simulation, and the correctness is demonstrated. The results show that when the ratio of external excitation amplitude to damping coefficient is higher than the critical surface, the system will enter chaotic state. The chaotic motion of the rectangular conductive thin plate is affected by different magnetic field distributions and airflow.

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