The Buckling Behavior of Pipes and Its Influence on the Axial Force Transfer in Directional Wells

2000 ◽  
Vol 122 (3) ◽  
pp. 129-135 ◽  
Author(s):  
Ergun Kuru ◽  
Alexander Martinez ◽  
Stefan Miska ◽  
Weiyong Qiu
Keyword(s):  
Internal Pressure ◽  
Axial Force ◽  
Current Theory ◽  
Pipe Diameter ◽  
Computer Simulator ◽  
Buckling Behavior ◽  
Force Transfer ◽  
Post Buckling ◽  
Support Conditions ◽  
The University

An experimental setup was built at the University of Tulsa to study buckling and post-buckling behavior of pipes constrained in straight horizontal and curved wellbores. Experiments were conducted to investigate the axial force transfer with and without static internal pressure. Different stages of buckling phenomena and their relation to the axial force, the pipe diameter (1/4 and 3/8 in.) and the pipe end-support conditions have also been investigated. Experimental results have shown that the buckling load is a strong function of the pipe diameter and the pipe end-support conditions. Static internal pressure appears to have insignificant influence on the buckling behavior of pipes. A brief review of recently developed mathematical models to predict buckling behavior of pipes in inclined, curved, and horizontal sections of wellbore is also presented. Applications of the current theory are presented by using recently developed computer simulator. Results of the theoretical analysis have confirmed the versatility and effectiveness of computer simulator for better understanding and solving buckling related problems in the field. [S0195-0738(00)00903-1]

Analytical Approximate Prediction of Thermal Post-Buckling Behavior of the Spring-Hinged Beam

2016 ◽  
Vol 08 (03) ◽  
pp. 1650028
Author(s):  
Youhong Sun ◽  
Baisheng Wu ◽  
Yongping Yu
Keyword(s):  
Numerical Solutions ◽  
Lateral Displacement ◽  
Admissible Function ◽  
Buckling Behavior ◽  
Practical Support ◽  
Differential Integral Equation ◽  
Post Buckling ◽  
Approximate Formulation ◽  
Support Conditions ◽  
The Galerkin Method

This paper is concerned with thermal post-buckling of uniform isotropic beams with axially immovable spring-hinged ends. The ends of the beam with elastic rotational restraints represent the actual practical support conditions and the classical hinged and clamped conditions can be achieved as the limiting cases of the rotational spring stiffness. The governing differential–integral equation is solved by assuming suitable admissible function for lateral displacement and by employing the Galerkin method. A brief and explicit analytical approximate formulation is established to predict the thermal post-buckling behavior of the beam. The present analytical approximate expressions show excellent agreement with the corresponding numerical solutions based on the shooting method. This confirms the effectiveness and verifies the accuracy of the formulas established.

Buckling and Post-buckling Behavior of a Pipe Subjected to Internal Pressure

1995 ◽  
Vol 62 (3) ◽  
pp. 595-600 ◽  
Author(s):  
D. M. Tang ◽  
M. A. Ilgamov ◽  
E. H. Dowell
Keyword(s):  
Internal Pressure ◽  
Coupling Effect ◽  
Elastic Shell ◽  
External Pressure ◽  
Static Deflection ◽  
Hollow Beam ◽  
Buckling Behavior ◽  
Post Buckling ◽  
The Subject ◽  
The One

It is well known that a thin elastic shell under external pressure may undergo buckling and collapse. Less well known is that a hollow beam under internal pressure may buckle as an Euler column. This is the subject of the present study. The buckled deflection and natural frequency about the buckled configuration of a vertical pipe with clamped (y-axis) and hinged (z-axis) boundary conditions at the lower support location, considering the influence of internal pressure and initial (manufactured) curvature, has been studied analytically and experimentally. The buckling and post-buckling behavior of the pipe beam with an initial static deflection depends upon the nonlinear coupling due to deflection in the two directions including the anisotropic boundary condition at the one support location. The coupling effects increase as the internal pressure and the initial static deflection increase. When the initial static deflection is zero, the coupling effect disappears. The theoretical results agree reasonably well with the experiments.

An Experimental Study of Buckling and Post-Buckling of Laterally Constrained Rods

1995 ◽  
Vol 117 (2) ◽  
pp. 115-124 ◽  
Author(s):  
P. V. R. Suryanarayana ◽  
R. C. McCann
Keyword(s):  
Experimental Study ◽  
Horizontal Wells ◽  
Current Theory ◽  
Buckling Loads ◽  
Buckling Behavior ◽  
Experimental Apparatus ◽  
Compressive Loads ◽  
Weight On Bit ◽  
Post Buckling ◽  
Safe Load

The effects of friction and curvature on buckling, post-buckling, and unbuckling behavior of rods laterally constrained within an enclosure are studied experimentally. The experimental apparatus, measurement procedures, and uncertainty analysis are described. Results indicate that friction significantly delays the onset of buckling, and causes noticeable hysteresis in the post-buckling behavior. As a result, the unbuckling loads are always less than the corresponding buckling loads. The drag-related loss, which eventually leads to lock-up, is also measured and reported in this work. Friction is also a cause of post-buckling snapping and reversals in the direction of wrap of the helix. As expected, the effects of friction become less significant as the inclination decreases. It is shown that predictions of current theory agree with experimentally measured unbuckling rather than buckling loads. When friction is significant, current theory underestimates the compressive loads at which buckling occurs in straight or curved wellbores. Ignoring friction or curvature limits the estimated weight on bit well below the safe load that can be used in many drilling and completion operations in extended reach or horizontal wells. Moreover, the hysteresis effect of friction means that once buckling has occurred, the compressive loads must be reduced to values much below the buckling initiation loads to fully straighten the buckled pipe.

Designing of Thin Composite Panels with the Post-Buckling Behavior Considering Rigid Support and Loading with Shear Flows

2021 ◽  
Vol 887 ◽  
pp. 657-661
Author(s):  
O. Mitrofanov ◽  
O. Mazen
Keyword(s):  
Shear Flows ◽  
Solution Method ◽  
Linear Problem ◽  
Rigid Support ◽  
Optimal Parameters ◽  
Aircraft Structures ◽  
Buckling Behavior ◽  
Non Linear ◽  
Post Buckling ◽  
Support Conditions

Geometrically non-linear problem of orthotropic thin rectangular panel post-buckling behavior with shear is solved. Deflection function takes all-boundary rigid support conditions into account. Based on derived solution method of smooth panels design which can be used for aircraft structures rib and spar webs optimal parameters is suggested.

On the Lateral-Torsional Elastic Post-Buckling and Strength of Channel Steel Beams

2020 ◽  
Vol 20 (12) ◽  
pp. 2050135
Author(s):  
Rodrigo Gonçalves
Keyword(s):  
Cross Sections ◽  
Steel Beams ◽  
Current Version ◽  
Geometric Imperfection ◽  
Buckling Behavior ◽  
Geometrically Exact Beam ◽  
Geometrical Imperfections ◽  
Post Buckling ◽  
Support Conditions ◽  
Definition Of

This paper aims at shedding new light on the elastic post-buckling behavior and strength (elastoplastic collapse) of steel channel section beams undergoing lateral-torsional (LT) buckling. This new insight is acquired using a two-node geometrically exact beam finite element developed by the author, which can handle large displacements, including torsion-related warping, Wagner effects, plasticity, residual stresses and arbitrary initial configurations (namely geometrical imperfections). Several cross-sections and loading/support conditions are analyzed. The results obtained show that the LT buckling behavior of channels is asymmetric, meaning that the direction of the geometric imperfection can influence significantly the strength of the beams. Moreover, it is demonstrated that the loading and support conditions play a major role, leading to a significant scatter of results which hinder the definition of a single buckling curve for design purposes. Nevertheless, in all cases considered, the buckling strengths obtained fall significantly above those predicted by the current version of Eurocode 3.

Buckling Behavior of Tire Breaker Structure

1983 ◽  
Vol 11 (1) ◽  
pp. 3-19
Author(s):  
T. Akasaka ◽  
S. Yamazaki ◽  
K. Asano
Keyword(s):  
Elastic Foundation ◽  
Elastic Moduli ◽  
Wave Length ◽  
Bending Moment ◽  
Experimental Results ◽  
Automobile Tire ◽  
Buckling Behavior ◽  
Post Buckling ◽  
Steel Cord ◽  
Interlaminar Shear

Abstract The buckled wave length and the critical in-plane bending moment of laminated long composite strips of cord-reinforced rubber sheets on an elastic foundation is analyzed by Galerkin's method, with consideration of interlaminar shear deformation. An approximate formula for the wave length is given in terms of cord angle, elastic moduli of the constituent rubber and steel cord, and several structural dimensions. The calculated wave length for a 165SR13 automobile tire with steel breakers (belts) was very close to experimental results. An additional study was then conducted on the post-buckling behavior of a laminated biased composite beam on an elastic foundation. This beam is subjected to axial compression. The calculated relationship between the buckled wave rise and the compressive membrane force also agreed well with experimental results.

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