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This research aims to analyze the stability of thin plates in channels with elastically restrained boundaries under axial flow conditions.

June 17, 2026SymmetryOpen Access

A Study on the Divergence Instability of Thin Plates in Channels with Relaxed Boundaries

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Investigates static stability of thin plates in axial channel flow, indicating critical influence of boundary conditions on stability.

This research aims to analyze the stability of thin plates in channels with elastically restrained boundaries under axial flow conditions.
Investigated fluid forces using potential-flow equation and method of images
Established a fluid-structure coupling model with Chebyshev polynomials and energy method
Calculated instability modes and critical dynamic pressures for various channel heights and boundary stiffnesses.
Reducing channel height or moving the plate off-center decreases critical dynamic pressure
Lowering torsional spring stiffness leads to a reduction in critical pressure
Trailing-edge relaxation has a greater impact on dynamic pressure than leading-edge relaxation.

Yao et al. (2026) studied this question.

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