Abstract
The stability of structures is an important aspect that the designer must pay particular attention to in order to ensure safety against collapse. This investigation is concerned with analytical and numerical analyses of the dynamic buckling of plane structures. A rigorous mechanical model is proposed, consisting of a beam-column element with nodal ends possessing two rotational springs of rigidities acting in parallel with the bending stiffness of the beam-column. The model is first analyzed with respect to the dynamic behavior by investigating the influence of the variation in the stiffness of the nodal springs on the fundamental frequency of the proposed mechanical model. Compression axial loading is applied to the beam-column in order to study the nonlinear dynamic behavior by introducing buckling. This novel approach is used to highlight the interaction between the fundamental frequency and the critical buckling load. Simple examples are treated using the approach and the results are compared with those obtained from a global analysis. The results revealed that it is possible to reproduce the stability analysis of a global structure by simply analyzing a target element, taking into account all elements adjacent to it with less than 1% error on the results.
| Original language | English |
|---|---|
| Article number | 2250019 |
| Number of pages | 23 |
| Journal | International Journal of Structural Stability and Dynamics |
| Volume | 22 |
| Issue number | 2 |
| Early online date | 23 Oct 2021 |
| DOIs | |
| Publication status | Published - 22 Feb 2022 |
Bibliographical note
Electronic version of an article published in International Journal of Structural Stability and Dynamics, vol. 22, no. 2, 2250019. 10.1142/S0219455422500195 © copyright World Scientific Publishing Company http://www.worldscientific.com/worldscinet/ijssdCopyright © and Moral Rights are retained by the author(s) and/ or other copyright owners. A copy can be downloaded for personal non-commercial research or study, without prior permission or charge. This item cannot be reproduced or quoted extensively from without first obtaining permission in writing from the copyright holder(s). The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the copyright holders.
Keywords
- Stability domain
- beam-column
- dynamic buckling
- lateral vibration
- semi-rigid connection
ASJC Scopus subject areas
- Civil and Structural Engineering
- Building and Construction
- Aerospace Engineering
- Ocean Engineering
- Mechanical Engineering
- Applied Mathematics