Buckling of an Elastic Elliptical Ring Inside a Rigid Boundary

1985 ◽  
Vol 52 (3) ◽  
pp. 523-528 ◽  
Author(s):  
T. C. Soong ◽  
I. Choi
Keyword(s):  
Strain Energy ◽  
Elliptical Hole ◽  
Elastic Ring ◽  
Rigid Boundary ◽  
Buckling Loads ◽  
Elliptical Ring ◽  
Post Buckling ◽  
Energy Consideration ◽  
Thin Elastic Ring

The buckling of a thin, elastic ring confined in an elliptical hole whose circumference is smaller than that of the ring is studied. The effect of post-buckling slippage of the ring along the boundary with a corresponding curvature change is included. Buckling configurations with no friction that are (a) symmetric to one axis, and (b) symmetric to both axes, and (c) buckling configurations with no-slip are presented. Buckling with a strain energy consideration added as a criterion and buckling merely from compatibility alone are discussed. Results include curves for buckling loads of different ellipticities for different radius-to-thickness ratios.

Effect of Matching Buckling Loads on Post-Buckling Behavior in Compliant Mechanisms

2021 ◽  
Author(s):  
A. Numić ◽  
T. W. A. Blad ◽  
F. van Keulen
Keyword(s):  
Compliant Mechanisms ◽  
Relative Length ◽  
Optimal Designs ◽  
Element Analysis ◽  
Buckling Loads ◽  
Actuation Force ◽  
Stepped Beam ◽  
Buckling Behavior ◽  
Post Buckling ◽  
Novel Method

Abstract In this paper, a novel method for stiffness compensation in compliant mechanisms is investigated. This method involves tuning the ratio between the first two critical buckling loads. To this end, the relative length and width of flexures in two architectures, a stepped beam and parallel guidance, are adjusted. Using finite element analysis, it is shown that by maximizing this ratio, the actuation force for transversal deflection in post-buckling is reduced. These results were validated experimentally by identifying the optimal designs in a given space and capturing the force-deflection characteristics of these mechanisms.

The Role of Adhesive in the Load Response of Adhesively Bonded Aluminum Hat Sections Under Axial Compression

2001 ◽  
Author(s):  
Jianping Lu ◽  
Golam M. Newaz ◽  
Ronald F. Gibson
Keyword(s):  
Compressive Strength ◽  
Plastic Collapse ◽  
Adhesively Bonded ◽  
Buckling Mode ◽  
Buckling Loads ◽  
Buckling Modes ◽  
Load Response ◽  
Peak Loads ◽  
Post Buckling

Abstract Aluminum hat section, either adhesively bonded or unbonded, experiences buckling, post buckling and plastic collapse when axially compressed. However, there exist obvious differences in the load response between the bonded and unbonded hat sections. Finite element eigenvalue buckling analysis is carried out to predict the buckling load and mode. Experiments show that when adhesively bonded hat sections begin to buckle there is a transformation from the first buckling mode to the higher ones, while the unbonded hat sections develop the post buckling based on the lowest buckling mode. The different buckling modes result in not only different buckling loads but different peak loads of the hat sections as well. Finally, the ultimate compressive strength formulae are proposed for the hat sections.

Delamination Suppression in Sandwich Beams Using Translaminar Reinforcements

1999 ◽  
Author(s):  
Brian T. Wallace ◽  
Bhavani V. Sankar ◽  
Peter G. Ifju
Keyword(s):  
Axial Compression ◽  
Sandwich Beam ◽  
Sandwich Beams ◽  
Thickness Direction ◽  
Compression Tests ◽  
Honeycomb Core ◽  
Element Analysis ◽  
Buckling Loads ◽  
Buckling Behavior ◽  
Post Buckling

Abstract The present study is concerned with translaminar reinforcement in a sandwich beam for preventing buckling of a delaminated face-sheet under axial compression. Graphite/epoxy pins are used as reinforcement in the thickness direction of sandwich beams consisting of graphite/epoxy face-sheets and a Aramid honeycomb core. Compression tests are performed to understand the effects of the diameter of the reinforcing pins and reinforcement spacing on the ultimate compressive strength of the delaminated beams. A finite element analysis is performed to understand the effects of translaminar reinforcement on the critical buckling loads and post-buckling behavior of the sandwich beam under axial compression.

The Strain Energy Tuning of the Shape Memory Alloy on the Post-Buckling of Composite Plates Using Finite Element Method

2012 ◽  
Vol 445 ◽  
pp. 577-582
Author(s):  
Zainudin A. Rasid ◽  
Saiful Amri Mazlan ◽  
Amran Ayob ◽  
Rizal Zahari ◽  
Dayang Laila Majid ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Shape Memory Alloy ◽  
Shape Memory ◽  
Strain Energy ◽  
Composite Plates ◽  
Post Buckling ◽  
Energy Tuning ◽  
Element Method

Design Sensitivity of Buckled Thin-Walled Composite Structural Elements

1997 ◽  
Vol 50 (11S) ◽  
pp. S3-S10 ◽  
Author(s):  
Leonel I. Alma´nzar ◽  
Luis A. Godoy
Keyword(s):  
Volume Fraction ◽  
Local Buckling ◽  
Design Sensitivity ◽  
Transverse Load ◽  
Design Parameters ◽  
Structural Elements ◽  
Perturbation Expansions ◽  
Cross Sectional ◽  
Buckling Loads ◽  
Post Buckling

This paper presents a theory and applications to account for changes in the fundamental, buckling, and post-buckling states when design parameters of a composite material are modified. The influence of micro-mechanical parameters (the volume fraction and the fiber orientation) and of cross-sectional dimensions is investigated. A numerical example for columns made of composite materials is presented. Sensitivity is studied for local buckling loads. Explicit expressions are obtained for the sensitivities in the form of perturbation expansions. A beam under transverse load is also investigated, and geometric design parameters employed to investigate sensitivity. The information from the sensitivity analysis can be used to improve a design by modification of the buckling load.

Large Deformation and Failure of Thin-Walled Film at the Post-Buckling Delamination

2013 ◽  
Vol 577-578 ◽  
pp. 497-500 ◽  
Author(s):  
Vitalijs Pavelko ◽  
Igors Pavelko ◽  
Maxim Smolyaninov
Keyword(s):  
Large Deformation ◽  
Strain Energy ◽  
Layered Composite ◽  
Progressive Damage ◽  
Deformation And Failure ◽  
Post Buckling ◽  
1D Model ◽  
Buckling Delamination ◽  
Thin Walled ◽  
Delamination Propagation

An accurate 1D model of post-buckling deformation of a thin sub-laminate of layered composite is develloped using nonlinead theory of slender plate. The strain energy realize rate at delamination propagation is obtained via the elliptical integrals. A model of fracture buckled sub-laminate is implemented and used for general analysis of progressive damage of composite

Elastic Equilibrium of a Plate With a Reinforced Elliptical Hole

1960 ◽  
Vol 27 (2) ◽  
pp. 283-288 ◽  
Author(s):  
Eugene Levin
Keyword(s):  
Circular Hole ◽  
Thin Plate ◽  
Plane Stress ◽  
Complex Variable ◽  
Elliptical Hole ◽  
Elastic Equilibrium ◽  
Stress Problem ◽  
Elliptical Ring ◽  
Plane Stress Problem ◽  
Digital Computers

An infinite thin plate with an elliptical hole reinforced by a confocal elliptical ring is subjected to loads in the plane. A solution to the generalized plane-stress problem is obtained using the complex variable techniques of Muskhelishvili. The result is presented in a form well suited to evaluation by digital computers. Specialization to a circular hole with a negligibly thin reinforcement is shown to be in agreement with results obtained by other authors.

Post-Buckling Analysis of a Uniform Self-Weight Beam with Application to Catenary Riser

2019 ◽  
Vol 19 (04) ◽  
pp. 1950047 ◽  
Author(s):  
Ong-Art Punjarat ◽  
Somchai Chucheepsakul
Keyword(s):  
Axial Force ◽  
Strain Energy ◽  
Equilibrium Configuration ◽  
Virtual Work ◽  
Beam Theory ◽  
Energy Functional ◽  
Arc Length ◽  
Bending Strain ◽  
Highly Nonlinear ◽  
Post Buckling

This paper focused on a simply supported beam under uniform self-weight, subjected to an axial force at the roller end. The principle of virtual work-energy was used to formulate the equation for the nonlinear deformation of the beam, which involves the bending strain energy, the virtual work due to self-weight, and the virtual work of the axial force applied at the free-sliding roller end. The work–energy functional was expressed in terms of the arc-length coordinate. The functional vanished, yielding the static equilibrium configuration of the beam — a highly nonlinear problem. Finite element and Newton–Raphson iterative methods were used to solve the problem. The beam theory was extended to large sag analysis of a catenary riser. With this, some interesting features of the various configurations of the catenary riser under various end forces were evaluated.

Effect of auxetic honeycomb angular stiffeners in cold-formed perforated and webbed steel upright section under buckling modes

2021 ◽  
pp. 1045389X2110282
Author(s):  
Thasan Selvakumar ◽  
Rajendran Senthil ◽  
Rajan Raj Jawahar ◽  
Soundararajan Lakshmana kumar
Keyword(s):  
Axial Load ◽  
Strain Energy ◽  
Lateral Displacement ◽  
Lateral Load ◽  
Axial Loads ◽  
Buckling Loads ◽  
Buckling Modes ◽  
Steel Columns ◽  
Maximum Resistance ◽  
Lateral Displacements

This work was carried out on the buckling effects of cold-formed perforated steel columns with base auxetic polymer stiffeners. Buckling tests were carried out for three thicknesses of steel profiles (1.5–1.8 mm) with and without base stiffeners. Loading conditions were considered to be with displacement variation of 0.1 mm/s and respective axial loads and lateral displacements were noted. Results obtained states that the lateral displacement was found to be 2.2 for 1.8 mm CFS thickness and 93 kN of axial load with the use of auxetic stiffener with 14.8% of the variation in comparison without stiffener. The strain energy of absorption for auxetic stiffener is found to be high as 0.0523 at a lateral load of 80 kN for 1.8 mm CFS thickness. The maximum resistance to local, distortional, and Euler’s buckling loads was found to be high for 1.8 mm thick CFS with stiffener with 11.1%, 17.39%, and 10% in comparison without stiffener.

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