Computation of axisymmetric nonlinear low-frequency resonances of hyperelastic thin-walled cylindrical shells

DOI10.1016/j.apm.2021.01.027zbMath1481.74329OpenAlexW3122443332MaRDI QIDQ2243381

Jie Xu, Jia Jiao, Xue-Gang Yuan, Hong-Wu Zhang

Publication date: 11 November 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2021.01.027

zbMATH Keywords

stabilityharmonic balance methodarc length method with two-point predictionlow-frequency internal resonancethin-walled hyperelastic cylindrical shell

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45) Shells (74K25) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (2)

Nonlinear dynamics of pipes composed of Mooney-Rivlin hyperelastic materials conveying unsteady fluid flow ⋮ Modelling and nonlinear dynamics of dielectric elastomer sandwich cantilever-plate actuators

Uses Software

• NLvib

Cites Work

• Axisymmetric vibration of single-walled carbon nanotubes in water
• A harmonic-based method for computing the stability of periodic solutions of dynamical systems
• A purely frequency based Floquet-Hill formulation for the efficient stability computation of periodic solutions of ordinary differential systems
• Stability and asymmetric vibrations of pressurized compressible hyperelastic cylindrical shells
• An incremental approach to the solution of snapping and buckling problems
• Finite dynamic deformations of a hyperelastic, anisotropic, incompressible and prestressed tube. Applications to in vivo arteries
• Nonlinear free vibration analysis of SSMFG cylindrical shells resting on nonlinear viscoelastic foundation in thermal environment
• Geometrical nonlinear analysis based on optimization technique
• The dynamic stability and nonlinear vibration analysis of stiffened functionally graded cylindrical shells
• Study of non-linear dynamic behavior of open cracked functionally graded Timoshenko beam under forced excitation using harmonic balance method in conjunction with an iterative technique
• Incremental harmonic balance method for nonlinear flutter of an airfoil with uncertain-but-bounded parameters
• Discrete approximations related to nonlinear theories of solids
• Bilateral estimates for solutions of boundary value problems in Kirchhoff plates
• Nonlinear Vibrations and Stability of Shells and Plates
• An arc-length method including line searches and accelerations
• A fast incremental/iterative solution procedure that handles “snap-through”
• Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials
• Harmonic Balance for Nonlinear Vibration Problems
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