Citations
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Free vibrations and the stability of a geometrically non-linear column loaded by a follower force directed towards the positive pole
Lech Tomski,Sebastian Uzny +1 more
TL;DR: In this article, a slender system, built as a geometrically non-linear system and subjected to specific load by a follower force directed towards the positive pole, is discussed.
Journal ArticleDOI
Vibration and stability of geometrically nonlinear column subjected to generalized load with a force directed toward the positive pole
L. Tomski,S. Uzny +1 more
TL;DR: In this article, the authors considered the vibration and stability problems of a slender column subjected to generalized load with a force directed toward the positive pole, where the load is developed by heads composed of circular profile elements.
Journal Article
Local and global instability and vibration of overbraced euler's column
Lech Tomski,Janusz Szmidla +1 more
TL;DR: In this article, theoretical and experimental research on the stability and free vibration of a geometrically non-linear Euler's column is presented, and the influence of the asymmetry of the flexural stiffness distribution of the rod in an individual column on the value of the critical force and existence of local and global instability regions is determined.
Journal ArticleDOI
Free Vibrations of an Elastically Supported Geometrically Nonlinear Column Subjected to a Generalized Load with a Force Directed toward the Positive Pole
TL;DR: In this paper, the free vibrations of a geometrically nonlinear column, supported at the loaded end by a spring with linear characteristics, are considered in a rectilinear form of static equilibrium.
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Free vibrations of a certain geometrically nonlinear system with initial imperfection
Lech Tomski,Stanislaw Kukla +1 more
TL;DR: In this article, the effects of an initial imperfection and amplitude on the nonlinear vibration frequency and value of axial internal force in a beam are presented, and the Lindstedt-Poincare method is used for solving the problem.
References
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Journal ArticleDOI
Stability of Structures with Small Imperfections
TL;DR: In this paper, a theoretical and experimental investigation into the effect of imperfections on the buckling load of an elastic structural system is presented. But the experimental results confirm the predicted theoretical behavior.
Journal ArticleDOI
Experimental and theoretical studies of columns under axial impact
TL;DR: In this article, the dynamic response of columns loaded by an impulsive axial compression was studied experimentally and theoretically, and approximate criteria for determination of dynamic buckling were discussed and applied.
Journal ArticleDOI
On the Elastic Bending of Columns Due to Dynamic Axial Forces Including Effects of Axial Inertia
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Nonlinear Stability Analysis of an Eccentrically Loaded Two-Bar Frame
Journal ArticleDOI
Dynamic Snap-through Buckling of a Timoshenko Two Bar Frame under a Suddenly Applied Load
TL;DR: In this paper, a variational methodology for investigating the dynamic stability of frames subjected to a suddenly applied load of constant magnitude and infinite duration is developed and successfully demonstrated through a simple two-bar frame.
Related Papers (5)
Free vibrations and the stability of a geometrically non-linear column loaded by a follower force directed towards the positive pole
Lech Tomski,Sebastian Uzny +1 more
Local and global instability and vibration of overbraced euler's column
Lech Tomski,Janusz Szmidla +1 more