Synchronous whirling of spinning homogeneous elastic cylinders: linear and weakly nonlinear analyses
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Publication:6166279
DOI10.1007/s11071-020-05639-xzbMath1516.74014arXiv2003.07763OpenAlexW3023580359MaRDI QIDQ6166279
Publication date: 2 August 2023
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.07763
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Bifurcation and buckling (74G60) Synchronization of solutions to ordinary differential equations (34D06)
Cites Work
- Unnamed Item
- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- Automated solution of differential equations by the finite element method. The FEniCS book
- Post-buckling behavior of columns with nonlinear constitutive equations
- Geometric theory of semilinear parabolic equations
- Worst shapes of imperfections for space trusses with many simultaneously buckling members
- Postbuckling behavior and imperfection sensitivity of elastic structures by the Lyapunov-Schmidt-Koiter approach
- Selection of hexagonal buckling patterns by the elastic Rayleigh-Taylor instability
- Dynamic stability and bifurcation of a nonlinear in-extensional rotating shaft with internal damping
- Instabilities and bifurcations in a rotating shaft
- BIFURCATION OF FINITELY DEFORMED ROTATING ELASTIC CYLINDERS
- Significance of Considering Nonlinear Effects in Predicting the Dynamic Behavior of Rotating Machinery
- Buckling of a spinning elastic cylinder: linear, weakly nonlinear and post-buckling analyses
- Shaft Whirl Induced by Rotor Internal Damping
- Imperfection Sensitivity of Externally Pressurized Spherical Shells
- Large elastic deformations of isotropic materials IV. further developments of the general theory
- W. T. Koiter’s Elastic Stability of Solids and Structures
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