Free vibrations and the stability of a geometrically nonlinear column loaded by a follower force directed towards the positive pole

DOI10.1016/j.ijsolstr.2007.07.011zbMath1167.74447OpenAlexW1987653272MaRDI QIDQ833865

L. Tomski, Sebastian Uzny

Publication date: 14 August 2009

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2007.07.011

zbMATH Keywords

divergence instabilityelastic columnsnatural transverse frequency

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55)

Related Items

The non-linear vibrations of simply supported column loaded by the mass element ⋮ Numerical studies on stability of slender supporting structures ⋮ Optimization of slender systems by means of genetic algorithms ⋮ THE STABILITY AND FREE VIBRATIONS OF A COLUMN SUBJECTED TO A CONSERVATIVE LOAD GENERATED BY A HEAD WITH A PARABOLIC CONTOUR ⋮ AN ELASTICALLY SUPPORTED GEOMETRICALLY NONLINEAR SLENDER SYSTEM SUBJECTED TO A SPECIFIC LOAD IN RESPECT OF BIFURCATIONAL LOAD AND FREE VIBRATIONS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Flutter instability and other singularity phenomena in symmetric systems via combination of mass distribution and weak damping
• Effect of damping on the postcritical behaviour of autonomous non-conservative systems
• Non-linear buckling of simple models with tilted cusp catastrophe
• Influence of an elastic and support on the vibration and stability of Beck's column
• Vibration and stability of an elastic column subject to a generalized load
• Hamiltonian weakly damped autonomous systems exhibiting periodic attractors
• Optimal design of elastic columns subject to the general conservative behaviour of loading
• Die Knicklast des einseitig gespannten, tangential gedrückten Stabes
• Theoretical and Experimental Investigations of the Natural Vibrations of the Divergence and Divergence Pseudoflutter Type Systems
• Free vibrations of a certain geometrically nonlinear system with initial imperfection
• Remarks on the Static and Dynamic Imperfection-Sensitivity of Nonsymmetric Structures
• Galerkin finite element method for non-linear beam vibrations
• On conservative elastic systems of the first and second kind
• Non-Conservative Instability of Non-uniform Beams Resting on an Elastic Foundation