scholarly journals FORMULA FOR ELASTIC BUCKLING LOAD OF COLUMNS IN NON-UNIFORM FRAMES WITH RELATIVE STORY DISPLACEMENT

2021 ◽  
Vol 86 (780) ◽  
pp. 299-308
Author(s):  
Akinobu TAKADA
Keyword(s):  
Buckling Load ◽  
Elastic Buckling ◽  
Uniform Frames

Elastic Buckling Analysis of Rigidly Jointed Single Layer Reticulated Domes with Random Initial Imperfection

1992 ◽  
Vol 7 (4) ◽  
pp. 265-273 ◽  
Author(s):  
Toshiro Suzuki ◽  
Toshiyuki Ogawa ◽  
Kikuo Ikarashi
Keyword(s):  
Single Layer ◽  
Initial Imperfection ◽  
Random Variable ◽  
Buckling Analysis ◽  
Buckling Load ◽  
Mode Shapes ◽  
Elastic Buckling ◽  
Nonlinear Buckling ◽  
Reticulated Domes ◽  
Nonlinear Buckling Analysis

In the present paper, the effect of imperfection on the elastic buckling load and mode shapes of externally-loaded single layer reticulated domes is investigated. The types of buckling concerned here are the general buckling, the local (dimple) buckling and the buckling of a member. As to the geometric parameter of a dome, the slenderness factor S is adopted which represents the openness and slenderness of the dome. The maximum value of the imperfection is assumed to be the normal random variable. The buckling loads are computed by the linear and the nonlinear buckling analysis using the finite element method. The statistical values are calculated by the three-points estimates method. The main points of interest are the influence of the shape and the extent of an imperfection on the buckling load.

Upper and Lower Bounds for Special Eigenvalues

1959 ◽  
Vol 26 (2) ◽  
pp. 246-250
Author(s):  
F. C. Appl ◽  
C. F. Zorowski
Keyword(s):  
Exact Solution ◽  
Power Series ◽  
Lower Bounds ◽  
Comparison Theorem ◽  
Eigenvalue Problems ◽  
Buckling Load ◽  
Upper And Lower Bounds ◽  
Elastic Buckling ◽  
Variable Section ◽  
Exact Eigenvalue

Abstract A method for finding upper and lower bounds for the fundamental eigenvalue in special eigenvalue problems is presented. The method is systematic and is shown to provide convergence from above and below to the exact eigenvalue under certain conditions. The method is based on the relatively well-known enclosure or comparison theorem of Collatz, and makes use of a power series to approximate the eigenfunction. The method is applied to two examples concerning the critical-elastic buckling load of variable-section columns with pinned ends. Results for the first example compare well with the exact solution, which is known; the second example is presented as an addition to the literature.

The Study on the Effect of the Lateral Braces on the out-of-Plane Stability of Web Openings Circular Steel Arches

2014 ◽  
Vol 501-504 ◽  
pp. 624-627
Author(s):  
Li Yun Jiang ◽  
Ming Li ◽  
Sen Hao Yang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Large Deformation ◽  
Buckling Load ◽  
Elastic Buckling ◽  
Radial Load ◽  
Buckling Mode ◽  
Web Openings ◽  
Research Results ◽  
Out Of Plane

The paper adopts large deformation elastic buckling finite element method, researches the out-of-plane stability of lateral braced web openings circular steel arches under the distributed radial load and considers the effects of rise-span ratio, arch foot condition, brace rigidity and brace quantity. Research results demonstrate that the out-of-plane buckling load of web openings circular arches increases with the rise of rise-span ratio and increases with the improvement of arch foot constraint. Buckling half waves increase gradually with the increase of lateral brace stiffness. When brace stiffness reaches the brace critical stiffness, the out-of-plane buckling load of steel arches increases will no longer increase with the rise of the brace stiffness, and the buckling mode of steel arches will transit from out-of-plane instability to in-plane instability. The improvement degree of lateral brace to the bucking load of web openings circular steel arches depends on the lateral brace quantity and the size of the brace intervals.

The Structural Dynamical Buckling Analysis for a Novel Vacuum Autoclave under the Extreme Operating Conditions

2010 ◽  
Vol 143-144 ◽  
pp. 888-893
Author(s):  
Hong Pu Liu ◽  
Xiao Jing Li ◽  
Di Wang ◽  
Jian Sheng Tang ◽  
Xue Ling Yang ◽  
...  
Keyword(s):  
Finite Element ◽  
Safety Factor ◽  
Pressure Vessel ◽  
Element Model ◽  
Operating Conditions ◽  
Buckling Load ◽  
Deformation Condition ◽  
Elastic Buckling ◽  
Complete Failure ◽  
Thin Walled

The elastic buckling load is physically important in design of the pressure vessel with shell framework because it is actually the critical step in a thin-walled shell configuration that will eventually lead to complete failure. An finite element model of vacuum autoclave was established and the buckling load calculations under the extreme operating conditons have been carried out to obtain the modal deformation condition and the safety factor. The results showed that the structure has a higher safety factor, which indicated that the vacuum autoclave design can meet the working conditon requirements.

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