Numerical Study of Nonlinear Vibrations of Fractionally Damped Cylindrical Shells Under the Additive Combinational Internal Resonance

DOI10.1007/978-3-030-34724-6_29zbMath1478.74042OpenAlexW3003362829MaRDI QIDQ5013797

Basem Ajarmah, Marina V. Shitikova

Publication date: 2 December 2021

Published in: New Trends in Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-34724-6_29

zbMATH Keywords

cylindrical shellmodal interactionRiemann-Liouville fractional derivativefractional Kelvin-Voigt differential equationgeneralized method of multiple scales

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Shells (74K25) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Applications of fractional calculus in solid mechanics (74S40)

Related Items (1)

Nonlinear vibration analysis of fractional viscoelastic cylindrical shells

Cites Work

• Nonlinear dynamic response of a fractionally damped cylindrical shell with a three-to-one internal resonance
• Computational problems in science and engineering
• An algorithm for the numerical solution of differential equations of fractional order
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Numerical Study of Nonlinear Vibrations of Fractionally Damped Cylindrical Shells Under the Additive Combinational Internal Resonance