Nonlinear free vibration of spinning cylindrical shells with arbitrary boundary conditions

DOI10.1007/S10483-022-2892-7zbMath1505.74068OpenAlexW4288535215MaRDI QIDQ2164518

Qingdong Chai, Meiwen Teng, Yan Qing Wang

Publication date: 15 August 2022

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-022-2892-7

zbMATH Keywords

Ritz methodChebyshev polynomialvon Kármán nonlinearitydirect iteration methodSanders shell theory

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Shells (74K25) Numerical and other methods in solid mechanics (74S99)

Related Items (4)

Isogeometric analysis of small-scale effects on the vibration of functionally graded porous curved microbeams based on the modified strain gradient elasticity theory ⋮ The semi-analytical modeling and vibration reduction analysis of the cylindrical shell with piezoelectric shunt damping patches ⋮ Nonlinear vibrations of a composite circular plate with a rigid body ⋮ A study of a nonlinear vibration isolator supported on an imperfect boundary plate

Cites Work

• Nonlinear vibrations of rotating thin circular cylindrical shell
• Nonlinear free vibration analysis of laminated orthotropic cylindrical shells
• A novel numerical solution strategy for solving nonlinear free and forced vibration problems of cylindrical shells
• Geometrically nonlinear vibration of laminated composite cylindrical thin shells with non-continuous elastic boundary conditions
• Vibration of finite length, rotating cylindrical shells
• Nonlinear Vibrations and Stability of Shells and Plates
• Nonlinear free vibration analysis of rotating hybrid cylindrical shells

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