A FURTHER STUDY OF FLEXURAL-TORSIONAL BUCKLING OF ELASTIC ARCHES

2005 ◽  
Vol 05 (02) ◽  
pp. 163-183 ◽  
Author(s):  
Y.-L. PI ◽  
M. A. BRADFORD ◽  
N. S. TRAHAIR ◽  
Y. Y. CHEN
Keyword(s):  
Virtual Work ◽  
Static Equilibrium ◽  
Specific Point ◽  
Torsional Buckling ◽  
Uniform Compression ◽  
Closed Form Solutions ◽  
First Order ◽  
Buckling Resistance ◽  
Equilibrium Approach ◽  
Flexural Torsional Buckling

This paper uses both a virtual work approach and a static equilibrium approach to study the elastic flexural-torsional buckling of circular arches under uniform bending, or under uniform compression. In most studies of the elastic flexural-torsional buckling of arches under uniform compression produced by uniformly-distributed radial loads, the directions of the radial loads are conventionally assumed not to change but to remain parallel to their initial directions during buckling. In practice, the uniform compression may be produced by hydrostatic loads or by uniformly-distributed radial loads that are directed to a specific point during buckling. In addition, there are discrepancies between existing solutions for the elastic flexural-torsional buckling moment and load of arches under uniform bending or under uniform compression which need to be clarified. Closed form solutions for the buckling moment and load are developed. The discrepancies among the existing solutions for the elastic flexural-torsional buckling moment and load of arches are clarified and the sources for the discrepancies are identified. It is found that the lateral components of hydrostatic loads and of uniformly-distributed radial loads that are always directed toward the center of the arch increase the flexural-torsional buckling resistance of an arch under uniform compression. It is also found that first-order buckling deformations are sufficient for static equilibrium approaches for the flexural-torsional buckling analysis of arches. The rational static equilibrium approach for the flexural-torsional buckling in the present study is effective.

scholarly journals AN EQUILIBRIUM APPROACH FOR FLEXURAL-TORSIONAL BUCKLING OF ELASTIC STEEL ARCHES

2005 ◽  
pp. 47-66 ◽  
Author(s):  
Y.L. Pi ◽  
◽  
M.A. Bradford ◽  
Y.Y. Chen ◽  
◽  
...  
Keyword(s):  
Torsional Buckling ◽  
Equilibrium Approach ◽  
Flexural Torsional Buckling

scholarly journals Composite plate analysis made in an unsymmetric configuartion

2021 ◽  
Vol 2130 (1) ◽  
pp. 012014
Author(s):  
K Falkowicz
Keyword(s):  
Linear Analysis ◽  
Second Step ◽  
Torsional Buckling ◽  
Buckling Mode ◽  
Uniform Compression ◽  
Simply Supported ◽  
Plate Analysis ◽  
Flexural Torsional Buckling ◽  
Methods Numerical ◽  
Made In

Abstract The work presents a thin-walled plate element with the central rectangular cut-out which can be use as an elastic or load-bearing element. Plates were made of carbon epoxy laminate and subjected to uniform compression. Plates were simply supported on shorter edges, and loaded axial load. The study included analysis of the critical and weakly post-critical behavior using experimental and numerical methods. Numerical analysis was performed with using linear analysis of eigenvalue problem to determination critical loads. The second step connected nonlinear analysis of structure with initiated geometrically imperfection corresponding to the flexural-torsional buckling mode of the plate. To the numerical calculations the commercial ABAQUS program was used.

scholarly journals A Consistent Ayrton-Perry Approach for the Flexural-Torsional Buckling Resistance Evaluation of Steel I-Section Members

2017 ◽  
Vol 25 (2) ◽  
pp. 89-105
Author(s):  
Marian Giżejowski ◽  
Zbigniew Stachura
Keyword(s):  
Design Procedure ◽  
Major Axis ◽  
Design Strategy ◽  
Design Criterion ◽  
Torsional Buckling ◽  
Beam Columns ◽  
Buckling Resistance ◽  
Eurocode 3 ◽  
Column Design ◽  
Flexural Torsional Buckling

Abstract Steel I-section members subjected to compression a monoaxial bending about the major axis are dealt with in this paper. The current Eurocode’s design procedure of such members is based on a set of two interpolation equations. In this paper a simple and yet consistent Ayrton-Perry methodology is presented that for beam-columns yields the Ayrton-Perry design strategy similar to that utilized in the steel Eurocodes for design of beams and columns but not used so far for the beam-column design. The results from developed design criterion are compared with those of Method 1 of Eurocode 3 and the Ayrton-Perry formulation of a different format that has been recently published.

Flexural-torsional buckling of FRP thin-walled composite with various sections

2014 ◽  
Vol 21 (4) ◽  
pp. 537-549 ◽  
Author(s):  
Yeliz Pekbey ◽  
Esmaeil Ghanbari
Keyword(s):  
Mode Shapes ◽  
Torsional Buckling ◽  
Buckling Mode ◽  
Closed Form Solutions ◽  
Buckling Stress ◽  
Reinforced Plastic ◽  
Compressive Loads ◽  
Thin Walled ◽  
Flexural Torsional Buckling ◽  
Potential Energy Method

AbstractThe flexural-torsional buckling of thin-walled pultruded fiber-reinforced plastic (FRP) members composed of unstiffened, stiffened cruciform- and I-shaped sections under uniform compressive loads was investigated using finite element methods (FEM). As the basic method, an eigenvalue solution using the minimum potential energy method was utilized to obtain the critical buckling stress and buckling mode shapes. FEM results were compared with the closed-form solutions and literature results. Furthermore, a parametric study was carried out to investigate the different cross-section geometries and span lengths on the critical buckling stresses and buckling mode shapes, that is, flexural, torsional, or mixed buckling.

Dynamic modeling of a galloping structure equipped with piezoelectric wafers and energy harvesting

2019 ◽  
Vol 67 (3) ◽  
pp. 142-154 ◽  
Author(s):  
M. Y. Abdollahzadeh Jamalabadi ◽  
Moon K. Kwak
Keyword(s):  
Energy Harvesting ◽  
Cantilever Beam ◽  
Vibrational Energy ◽  
Virtual Work ◽  
Power Level ◽  
Closed Form Solutions ◽  
Multi Scale ◽  
Rigid Mass ◽  
Piezoelectric Wafer ◽  
Piezoelectric Wafers

This study presents the analytical solution and experimental investigation of the galloping energy harvesting from oscillating elastic cantilever beam with a rigid mass. A piezoelectric wafer was attached to galloping cantilever beam to harvest vibrational energy in electric charge form. Based on Euler-Bernoulli beam assumption and piezoelectric constitutive equation, kinetic energy and potential energy of system were obtained for the proposed structure. Virtual work by generated charge and galloping force applied onto the rigid mass was obtained based on Kirchhoff's law and quasistatic assumption. Nonlinear governing electro-mechanical equations were then obtained using Hamilton's principle. As the system vibrates by self-exciting force, the fundamental mode is the only one excited by galloping. Hence, multi-degreeof-freedom equation of motion is simplified to one-degree-of-freedom model. In this study, closed-form solutions for electro-mechanical equations were obtained by using multi-scale method. Using these solutions, we can predict galloping amplitude, voltage amplitude and harvested power level. Numerical and experimental results are presented and discrepancies between experimental and numerical results are fully discussed.

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