Journal ArticleDOI
Non-conservative stability of multi-step non-uniform columns
TLDR
In this paper, the stability of non-uniform columns under the combined action of concentrated and variably distributed forces is solved analytically, and a new exact approach, which combines the exact solutions of one-step columns and the transfer matrix method, is presented for the non-conservative stability analysis of multi-step noniform columns.About:
This article is published in International Journal of Solids and Structures.The article was published on 2002-05-01. It has received 8 citations till now. The article focuses on the topics: Conservative force & Finite element method.read more
Citations
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Journal ArticleDOI
Stability of non-uniform columns under the combined action of concentrated follower forces and variably distributed loads
TL;DR: An exact approach for stability analysis of a non-uniform column subjected to concentrated tangential follower (non-conservative) forces and variably distributed (conservative) loads along the column is proposed in this article.
Journal ArticleDOI
Effect of shear deformation on the critical buckling of multi-step bars
TL;DR: In this article, the buckling of a one-step bar with the effect of shear deformation is established and its exact solution is obtained, which is then used to derive the eigenvalue equation of a multistage bar.
Journal ArticleDOI
Modeling and prediction of buckling behavior of compression members with variability in material and/or section properties
M. A. Gadalla,J. A. Abdalla +1 more
TL;DR: In this article, an analytical approach for determining the buckling capacity of a compression member whose geometric and/or material properties has been altered resulting in a multi-step non-uniform section is presented.
Journal ArticleDOI
Structural stability enhancement by nonlinear geometry design and piezoelectric layers
Alireza Keshmiri,Nan Wu +1 more
TL;DR: Vibration and stability analysis of nonlinearly tapered cone beams coupled with a piezoelectric layer under compressive axial load is conducted using a new semi-theoretical model based on the Adomi model as mentioned in this paper.
Journal Article
Energy method in efficient estimation of elastic buckling critical load of axially loaded three-segment stepped column
TL;DR: In this article, the elastic stability of a three-segment stepped column that is subjected to axial concentrated compressive forces using the strain energy method has been investigated and the results of analytical model are compared with numerical results obtained from finite element method.
References
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Journal ArticleDOI
Die Knicklast des einseitig eingespannten, tangential gedrückten Stabes
TL;DR: In this article, the buckling load of a built-in free rod subjected to tangential end-thrust was calculated and the free vibrations underP were investigated, and it was shown that P ≥ 20,05 α/l 2 (α: flexual rigidity, l: length).
Journal ArticleDOI
The Dynamic Stability of Elastic Systems. By V. V. Bolotin. 1964. (Holden-Day)Non-Conservative Problems of the Theory of Elastic Stability. V. V. Bolotin. 1963. (Pergamon)
R. J. Knops,E. W. Wilkes +1 more
Journal ArticleDOI
Vibration and stability of a non-uniform Timoshenko beam subjected to a follower force
T. Irie,Gen Yamada,I. Takahashi +2 more
TL;DR: In this article, an analysis for the vibration and stability of a non-uniform Timoshenko beam subjected to a tangential follower force distributed over the center line by use of the transfer matrix approach is presented.
Journal ArticleDOI
Exact solutions for free longitudinal vibrations of non-uniform rods
TL;DR: In this article, an exact approach for free longitudinal vibrations of one-step non-uniform rods with classical and non-classical boundary conditions is presented, and the fundamental solutions that satisfy the normalization conditions are derived and used to establish the frequency equations for 1-step rods.
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