Existence/nonexistence of instability regions in a parametrically excited linear gyroscopic system

DOI10.1016/j.apm.2022.07.034zbMath1505.70015OpenAlexW4289745668WikidataQ114208550 ScholiaQ114208550MaRDI QIDQ2110770

Hanbo Shao, Deli Liang, Tao Wang, Huan He, Jincheng He, Weiting Chen, Xing Tan

Publication date: 23 December 2022

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

Full work available at URL: https://doi.org/10.1016/j.apm.2022.07.034

zbMATH Keywords

stability analysisparametric resonancemultiple scale methodeigenvalues and eigenvectorslinear gyroscopic system

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Motion of the gyroscope (70E05)

Cites Work

• Unnamed Item
• Stability analysis and numerical confirmation in parametric resonance of axially moving viscoelastic plates with time-dependent speed
• Dynamical analysis of axially moving plate by finite difference method
• Stability boundaries of a spinning rotor with parametrically excited gyroscopic system
• Parametric instability of flexible rotor-bearing system under time-periodic base angular motions
• Using Fourier differential quadrature method to analyze transverse nonlinear vibrations of an axially accelerating viscoelastic beam
• The Quadratic Eigenvalue Problem
• Simple and combination resonances of columns under periodic axial loads

This page was built for publication: Existence/nonexistence of instability regions in a parametrically excited linear gyroscopic system