Post-buckling of composite I-sections. Part 1: Theory

2001-01-01
Papila, M
Akgun, MA
A theoretical investigation of initial local buckling and post-buckling behavior of composite I-sections is presented. The equilibrium equation for initial buckling is solved both exactly and with an approximate method, namely, Galerkin's method. In Galerkin's method, the out-of-plane deflection of each plate element is approximated by a weighted sum of polynomial functions. The post-buckling response is studied as an extension of the approximate analysis with Galerkin's method where now both equilibrium and compatibility equations must be solved. The bending deflection in the post-buckling regime is assumed to be a magnification of the deflection function used in initial buckling analysis. No mode-shape change is thus allowed in the post-buckling region. A polynomial type of function is also adopted for stress distribution in order to take into account the deviation from uniform in-plane load distribution in the plate elements following the onset of local buckling. The paper provides an efficient and accurate method for predicting the post-buckling behavior of composite structural sections composed of plate elements. Galerkin's method was previously applied to isotropic flat plates only. The present approach is tested against a commercial code, STAGS, with a very good agreement in results and a very large saving in computer time for post-buckling analysis of an I-section.
JOURNAL OF COMPOSITE MATERIALS

Suggestions

Post-buckling of composite I-sections. Part 2: Experimental validation
Papila, M; Akgun, MA; Niu, XK; Ifju, P (2001-01-01)
An experimental investigation was conducted in order to verify the theoretical model described in Part 1 as well as to obtain experimental insight and to generate a database for the post-buckling behavior of composite I-sections. The experiments were performed using a combination of the shadow moire technique, strain gages, LVDTs (linear variable differential transformer), and dial gages. A total of twenty carbon-fiber/epoxy I-section columns were manufactured and tested with seven specimens from woven fabr...
Pure gauge spin-orbit couplings
Shikakhwa, M. S. (2017-01-17)
Planar systems with a general linear spin-orbit interaction (SOI) that can be cast in the form of a non-Abelian pure gauge field are investigated using the language of non-Abelian gauge field theory. A special class of these fields that, though a 2 x 2 matrix, are Abelian are seen to emerge and their general form is given. It is shown that the unitary transformation that gauges away these fields induces at the same time a rotation on the wave function about a fixed axis but with a space-dependent angle, bot...
Investigation of buckling, post-buckling behaviour of variable stiffness composite plates
Cömert, Utku Kaan; Darendeliler, Haluk; Department of Mechanical Engineering (2022-8-31)
In this thesis, buckling and post-buckling behaviour of variable stiffness (VS) composite plates are investigated. VS plates are designed by using quadratic Bezier curves to define fiber paths and a script is written for this purpose. Manufacturing limitations and defects are included into the simulations. In the analyses, Finite Element Method (FEM) is used to solve linear and nonlinear buckling with Hashin failure criterion. The plates constructed by using fiber paths with linear and nonlinear angle varia...
On the design of a novel fully compliant spherical four-bar mechanism
Parlaktaş, Volkan; Tanık, Engin; Tanık, Çağıl Merve (SAGE Publications, 2019-9)
<jats:p> In this article, a novel fully compliant spherical four-bar mechanism is introduced and its generalized design methodology is proposed. The original fully compliant mechanism lies on a plane at the free position (undeflected position); therefore, it has the advantages of ease of manufacturing, minimized parts, and no backlash. First, the mobility conditions of the mechanism are obtained. The dimensions of the mechanism are optimally calculated for maximum output rotation, while keeping the deflecti...
Results on characterizations of plateaued functions in arbitrary characteristic
Mesnager, Sihem; Özbudak, Ferruh; Sınak, Ahmet (2016-01-01)
Bent and plateaued functions play a significant role in cryptography since they can have various desirable cryptographic properties. In this work, we first provide the characterizations of plateaued functions in terms of the moments of their Walsh transforms. Next, we generalize the characterizations of Boolean bent and plateaued functions in terms of their second-order derivatives to arbitrary characteristic. Moreover, we present a new characterization of plateaued functions in terms of fourth power moment...
Citation Formats
M. Papila and M. Akgun, “Post-buckling of composite I-sections. Part 1: Theory,” JOURNAL OF COMPOSITE MATERIALS, pp. 774–796, 2001, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64893.