scholarly journals On Elastic-Plastic Buckling Load of a Spherical Reticular Dome of Single Layer on a Hexagonal Plan

1989 ◽  
Vol 404 (0) ◽  
pp. 105-114 ◽  
Author(s):  
Shiro Kato ◽  
Koichiro Ishikawa
Keyword(s):  
Single Layer ◽  
Buckling Load ◽  
Plastic Buckling ◽  
Elastic Plastic

Buckling Load Estimation of Two-way Grid Domes Stiffened by Diagonal Braces Under Vertical Load

2021 ◽  
Vol 62 (1) ◽  
pp. 7-23
Author(s):  
Shiro Kato ◽  
Shoji Nakazawa ◽  
Yoichi Mukaiyama ◽  
Takayuki Iwamoto
Keyword(s):  
Slenderness Ratio ◽  
Fem Analysis ◽  
Buckling Load ◽  
Vertical Load ◽  
Imperfection Sensitivity ◽  
Plastic Buckling ◽  
Elastic Plastic ◽  
Alternative Formula ◽  
Efficient Scheme ◽  
Estimation Scheme

The present study proposes an efficient scheme to estimate elastic-plastic buckling load of a shallow grid dome stiffened by diagonal braces. The dome is circular in plan. It is assumed to be subject to a uniform vertical load and to be supported by a substructure composed of columns and anti-earthquake braces. Based on FEM parametric studies considering various configurations and degrees of local imperfections, a set of formulations are presented to estimate the elastic-plastic buckling load. In the scheme, the linear buckling load, elastic buckling load, and imperfection sensitivity are first presented in terms of related parameters, and the elasticplastic buckling load is then estimated by a semi-empirical formula in terms of generalized slenderness ratio using a corresponding plastic load. For the plastic load, the present scheme adopts a procedure that it is calculated by a linear elastic FEM analysis, while an alternative formula for the plastic load is also proposed based on a shell membrane theory. The validity of the estimation scheme is finally confirmed through comparison with the results based on FEM nonlinear analysis. The formulations are so efficient and simple that the estimation may be conducted for preliminary design purposes almost with a calculator. .

The Secant Method for Buckling Load of Centrally Compressed Member with Residual Stresses

2013 ◽  
Vol 749 ◽  
pp. 54-59
Author(s):  
Jian Qin ◽  
Jin Miao Zhang ◽  
Yong Jun Xia
Keyword(s):  
Residual Stresses ◽  
Axial Strain ◽  
Nonlinear Function ◽  
Buckling Load ◽  
New Method ◽  
Fast Method ◽  
Plastic Buckling ◽  
Elastic Plastic ◽  
Iterative Calculation ◽  
Medium Length

A fast method for elastic-plastic buckling of centrally compressed members is put forward, which is suitable for the medium length column considering the effect of residual stresses. The problem of elastic-plastic buckling is simplified as a nonlinear function of axial strain, and the secant algorithm is built based on the nonlinear function. The advantages of the new method are discussed and the iterative calculation process is listed. The new method offers significant improvements in accuracy, robustness and calculation amount of the solution, which can be used for members with any type section. An example of I-shape member is calculated by the new method and the result is compared with the analytical solution. The contrast of the buckling load verifies the reliability of the new method.

Nonlinear Buckling Analysis of Wind Turbine Towers

2011 ◽  
Vol 383-390 ◽  
pp. 6469-6475
Author(s):  
Qing Cao ◽  
Yang Li ◽  
Hao Zhang
Keyword(s):  
Wind Turbine ◽  
Buckling Load ◽  
Plastic Buckling ◽  
Nonlinear Buckling ◽  
Integration Algorithm ◽  
Critical Buckling Load ◽  
Initial Imperfections ◽  
Elastic Plastic ◽  
Post Buckling ◽  
Wind Turbine Towers

Wind turbine towers are belonging to towering cylinder shell structures, which are easy to appear buckling instability under wind or other complicated loads, and on which integral elastic-plastic buckling analyses have great theoretical and practical significances. This paper used large deflection nonlinear pre-buckling and Koiter initial post-buckling theories, and adopted the finite element scheme of updated integration algorithm and LDC nonlinear solution method, then analyzed the linear buckling, elastic-plastic static buckling, and post-buckling response of the towers with initial imperfections in different location and size. It has obtained that: 1) the critical load of towers with elastic-plastic buckling is much smaller than it with elastic buckling; 2) gravity has certain influence on the critical buckling load; 3) the critical buckling load is insensitive to initial imperfections, meanwhile the imperfections which located on the top or the bottom of the tower are inferior for the stability of tower.

Buckling of a Circular Cylindrical Web-Stiffened Sandwich Shell Under Axial Compression

1974 ◽  
Vol 18 (01) ◽  
pp. 55-61
Author(s):  
Vincent Volpe ◽  
Youl-Nan Chen ◽  
Joseph Kempner
Keyword(s):  
Axial Compression ◽  
Large Deflection ◽  
Single Layer ◽  
Subsequent Development ◽  
Buckling Load ◽  
Sandwich Shell ◽  
Cylindrical Sandwich Shell ◽  
Axisymmetric Mode ◽  
Shell Equations ◽  
The Mathematical Model

A stability analysis of an infinitely long web-stiffened, circular cylindrical sandwich shell under uniform axial compression is presented. The formulation begins with the establishment of a set of suitable large-deflection shell equations that forms the basis for the subsequent development of the buckling equations. The mathematical model corresponds to two face layers that are considered as thin shells and a thick core that is capable of resisting both transverse shear and circumferential extension. The associated eigenvalue problem is solved. Results show that the lowest buckling load is associated with the axisymmetric mode and is less than one half the buckling load of an equivalent single-layer shell.

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