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Non-stationary dynamics of nanocomposite conical shell reinforced by isotropic ring is studied. The material of conical shell is reinforced by nanotubes. Method of Lagrange equations, which is usually called the assumed mode method, is applied to derive the linear differential equations of the structure motions. Kinetic and potential energies of nanocomposite conical shell and rings are derived using Reddy higher order shear theory. All these energies are expressed with respect to generalized displacements of conical shell. These energies are used to derive the Lagrange equations. Transient dynamics of the thin-walled structure is excited by impact loads. Numerical integration of equations of motions is performed to study no-stationary dynamics of the structure. Influence of type of nanotube reinforcement on non-stationary dynamics is analyzed.

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Impact on Nanocomposite Conical Shell with Isotropic Ring

  • 会议论文

  • 发表日期：

    2026年

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  • Konstantin Avramov,
  • Boris Uspensky,
  • Borys Liubarskyi,
  • Vitaly Miroshnikov,
  • Igor Grebennik

摘要

Non-stationary dynamics of nanocomposite conical shell reinforced by isotropic ring is studied. The material of conical shell is reinforced by nanotubes. Method of Lagrange equations, which is usually called the assumed mode method, is applied to derive the linear differential equations of the structure motions. Kinetic and potential energies of nanocomposite conical shell and rings are derived using Reddy higher order shear theory. All these energies are expressed with respect to generalized displacements of conical shell. These energies are used to derive the Lagrange equations. Transient dynamics of the thin-walled structure is excited by impact loads. Numerical integration of equations of motions is performed to study no-stationary dynamics of the structure. Influence of type of nanotube reinforcement on non-stationary dynamics is analyzed.