Stability analysis and vibration characteristics of an axially moving plate in aero-thermal environment

Yao, Guo; Zhang, Yimin; Li, Changyou; Zhou, Yang

doi:10.1007/s00707-016-1674-6

Cited by 19 publications

(1 citation statement)

References 24 publications

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“…He analyzed the effect of boundary conditions on the instability of plate and influences of system parameters such as viscosity and aspect ratio on the frequencies using the differential quadrature method. Yao et al (2016) investigated the stability and vibration characteristics of an axially moving plate in an aerothermal environment subjected to transverse excitation. The results of this study showed that increasing the moving velocity, flow velocity, and temperature change, the natural frequency of the plate decreases, and the critical moving velocity decreases with increasing flow velocities and temperature changes.…”

Section: Introductionmentioning

confidence: 99%

Stability and vibration analysis of an axially moving thin walled conical shell

Abolhassanpour¹,

Ghasemi²,

Shahgholi³

et al. 2021

Journal of Vibration and Control

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This article deals with the analysis of free vibration of an axially moving truncated conical shell. Based on the classical linear theory of elasticity, Donnell shell theory assumptions, Hamilton principle, and Galerkin method, the motion equations of axially moving truncated conical shells are derived. Then, the perturbation method is used to obtain the natural frequency of the system. One of the most important and controversial results in studies of axially moving structures is the velocity detection of critical points. Therefore, the effect of velocity on the creation of divergence instability is investigated. The other important goal in this study is to investigate the effect of the cone angle. As a novelty, our study found that increasing or decreasing the cone angle also affects the critical velocity of the structure in addition to changing the natural frequency, meaning that with increasing the cone angle, the instability occurs at a lower velocity. Also, the effect of other parameters such as aspect ratio and mechanical properties on the frequency and instability points is investigated.

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Section: Introductionmentioning

confidence: 99%