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Dynamical behavior of conical thin-walled structure with rings is analyzed semi-analytically. Kirchhoff- Love theory of shell is used to simulate the conical thin-walled structure. The beam theory of Euler-Bernoulli is applied to simulate rings flexural-flexural-torsional-longitudinal oscillations. Rayleigh- Ritz technique is used to study thin-walled structure linear vibrations. The dynamical instability of the structure is simulated by ordinary differential equations, which are obtained by the assumed-mode method. In order to analyze the dynamic instability, the eigenvalue problem is used to obtain characteristic exponents. From these characteristic exponents, the critical frequency of flutter is obtained.

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Dynamic of Ring- Stiffened Conical Thin-Walled Structure Interacting with Supersonic Flow

  • 会议论文

  • 发表日期：

    2026年

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  • Maryna Chernobryvko,
  • Konstantin Avramov

摘要

Dynamical behavior of conical thin-walled structure with rings is analyzed semi-analytically. Kirchhoff- Love theory of shell is used to simulate the conical thin-walled structure. The beam theory of Euler-Bernoulli is applied to simulate rings flexural-flexural-torsional-longitudinal oscillations. Rayleigh- Ritz technique is used to study thin-walled structure linear vibrations. The dynamical instability of the structure is simulated by ordinary differential equations, which are obtained by the assumed-mode method. In order to analyze the dynamic instability, the eigenvalue problem is used to obtain characteristic exponents. From these characteristic exponents, the critical frequency of flutter is obtained.