Buckling of Truncated Conical Shells Under Combined Axial Load, Pressure, and Heating

1985 ◽  
Vol 52 (2) ◽  
pp. 402-408 ◽  
Author(s):  
J. Tani
Keyword(s):  
Axial Load ◽  
Uniform Pressure ◽  
Uniform Heating ◽  
Buckling Mode ◽  
Load Pressure ◽  
Buckling Loads ◽  
Conical Shells ◽  
Shell Equations ◽  
The Difference ◽  
Interaction Curves

On the basis of the Donnell-type shell equations with the effect of nonlinear prebuckling deformations taken into consideration, a theoretical analysis is performed on the buckling of clamped truncated conical shells under two loads combined out of uniform pressure, axial load, and uniform heating. The problem is solved by a finite difference method. It is found that the interaction curves of buckling loads are changed remarkably by the difference in the shape of conical shells. This is due to the large nonlinear prebuckling deformation and the difference in the buckling mode between two cases of single load.

Low Buckling Loads of Axially Compressed Conical Shells

1970 ◽  
Vol 37 (2) ◽  
pp. 384-392 ◽  
Author(s):  
M. Baruch ◽  
O. Harari ◽  
J. Singer
Keyword(s):  
Boundary Conditions ◽  
Axial Compression ◽  
Plane Boundary ◽  
Essential Difference ◽  
Physical Reason ◽  
Buckling Loads ◽  
Conical Shells ◽  
Simple Supports ◽  
Interaction Curves ◽  
The Stability

The stability of simply supported conical shells under axial compression is investigated for 4 different sets of in-plane boundary conditions with a linear Donnell-type theory. The first two stability equations are solved by the assumed displacement, while the third is solved by a Galerkin procedure. The boundary conditions are satisfied with 4 unknown coefficients in the expression for u and v. Both circumferential and axial restraints are found to be of primary importance. Buckling loads about half the “classical” ones are obtained for all but the stiffest simple supports SS4 (v = u = 0). Except for short shells, the effects do not depend on the length of the shell. The physical reason for the low buckling loads in the SS3 case is explained and the essential difference between cylinder and cone in this case is discussed. Buckling under combined axial compression and external or internal pressure is studied and interaction curves have been calculated for the 4 sets of in-plane boundary conditions.

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.

The Design of Intermediate Vertical Stiffeners on Web Plates Subjected to Shear

1956 ◽  
Vol 7 (4) ◽  
pp. 275-296 ◽  
Author(s):  
K. C. Rockey
Keyword(s):  
Flexural Rigidity ◽  
Empirical Relationships ◽  
Buckling Loads ◽  
Buckling Stress ◽  
The Difference ◽  
Web Plates ◽  
The Web ◽  
Correct Design

SummaryThe correct design of intermediate vertical stiffeners on web plates subjected to shear becomes very important when the web plates are designed to operate at loads close to their buckling loads. This paper presents details of an extensive series of tests conducted on stiffened web plates subjected to shear. From the analysis of the results obtained from these tests, new empirical relationships between the flexural rigidity and spacing of the intermediate stiffeners and the buckling stress of the stiffened web plate have been obtained.One interesting and important feature of these new relationships is that they define more clearly than hitherto the difference in the behaviour of single-and double-sided stiffeners.

Buckling of Bars of Variable Rigidity with Varying Axial Load

1963 ◽  
Vol 67 (635) ◽  
pp. 734-736
Author(s):  
K. T. Sundara Raja Iyengar ◽  
S. Anantharamu
Keyword(s):  
Numerical Methods ◽  
Approximate Method ◽  
Convenient Method ◽  
Axial Load ◽  
Difficult Problem ◽  
Variable Rigidity ◽  
Rigorous Solution ◽  
Approximate Methods ◽  
Buckling Loads ◽  
End Conditions

The Evaluation of buckling loads of columns presents a difficult problem whose rigorous solution may be very difficult particularly when the variation of moment of inertia or the axial load does not follow a simple law. Hence approximate methods such as the variational and numerical methods will have to be employed. An approximate method is suggested in this note which offers a convenient method for the calculation of buckling loads of bars with any type of end conditions.

Free Vibration of Axially Loaded Laminated Conical Shells

1999 ◽  
Vol 66 (3) ◽  
pp. 758-763 ◽  
Author(s):  
L. Tong
Keyword(s):  
Free Vibration ◽  
Axial Load ◽  
Governing Equations ◽  
Load Effect ◽  
Critical Buckling Load ◽  
Conical Shells ◽  
Axial Tension ◽  
Axially Loaded ◽  
Constant Axial Load ◽  
Laminated Conical Shells

Analytical solutions for the three displacements are obtained, in the form of power series, directly from the three governing equations for free vibration of laminated conical shells under axial load. Numerical results are presented for free vibration of axially loaded laminated conical shells with different geometric parameters and under two types of boundary conditions. It is found that an axial tension increases the frequencies while an axial compression decreases the frequencies. For the shells studied, the effect of axial load on the lowest frequency of the shell is found to be not sensitive to change in semivertex angle when the applied axial load is kept as a constant fraction of the critical buckling load. However, the axial load effect becomes very sensitive to variation in semivertex angle when a constant axial load is applied.

Dynamic Buckling of a Damped Externally Pressurized Imperfect Cylindrical Shell

1979 ◽  
Vol 46 (2) ◽  
pp. 372-376 ◽  
Author(s):  
D. F. Lockhart
Keyword(s):  
Cylindrical Shell ◽  
Circular Cylindrical Shell ◽  
Asymptotic Expression ◽  
Simple Relation ◽  
Dynamic Buckling ◽  
Fourier Component ◽  
Buckling Mode ◽  
Buckling Loads ◽  
Imperfect Cylindrical Shell ◽  
Step Loading

The dynamic buckling of a finite damped imperfect circular cylindrical shell which is subjected to step-loading in the form of lateral or hydrostatic pressure is examined by means of a perturbation method. The imperfection is assumed to be small. An asymptotic expression for the dynamic buckling load is obtained in terms of the damping coefficient and the Fourier component of the imperfection in the shape of the classical buckling mode. A simple relation which is independent of the imperfection is then obtained between the static and dynamic buckling loads.

Shear Deformation and Buckling of Columns

1991 ◽  
Vol 44 (11S) ◽  
pp. S160-S165 ◽  
Author(s):  
J. M. Kelly
Keyword(s):  
Shear Deformation ◽  
Axial Load ◽  
Buckling Load ◽  
Elastomeric Bearings ◽  
Buckling Loads ◽  
Sandwich Construction ◽  
Isolation Systems

It is shown that the prediction of buckling loads of columns that are very weak in shear is crucially dependent on the choice of direction for the axial load of the column in the buckled configuration. Examples are given showing the wide differences in buckling load predicted by different choices. The results are applicable to columns of sandwich construction, springs, and multilayer elastomeric bearings for isolation systems.

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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