On the size dependent buckling of anisotropic piezoelectric cylindrical shells under combined axial compression and lateral pressure

2016 ◽  
Vol 119 ◽  
pp. 155-169 ◽  
Author(s):  
Fahimeh Mehralian ◽  
Yaghoub Tadi Beni ◽  
Reza Ansari
1987 ◽  
Vol 109 (1) ◽  
pp. 10-18 ◽  
Author(s):  
G. D. Galletly ◽  
S. James ◽  
J. Kruzelecki ◽  
K. Pemsing

The results of 40 buckling tests on unstiffened welded steel cylindrical shells subjected to combined axial compression and external lateral pressure are compared in the paper with the predictions of theory and various Codes (ASME III, DnV and ECCS). The radius/thickness ratios of the models tested were R/t ≈ 100 and 300 and the length/radius ratios covered the range 0.18 < L/R < 1.45. Three interaction equations were studied, viz. a linear, a quadratic and a linear/quadratic equation suggested recently by Odland. Best agreement with experiment was obtained using the quadratic equation in conjunction with the DnV or ASME III Codes. The ECCS predictions of buckling stress were safe but were more conservative than the other two Codes. Some interactive buckling tests on ring-stiffened cylinders (and conducted recently by other workers) were also compared with the predictions of the above three Codes. The agreement between predicted buckling stresses and test results was broadly similar to that found for the Liverpool models. For very short unstiffened and ring-stiffened cylindrical shells, the theoretical interaction curves were a little unusual. In addition, the test results for external lateral pressure alone on these shells, and obtained by different research groups, did not all agree.


2018 ◽  
Vol 32 (10) ◽  
pp. 1319-1346 ◽  
Author(s):  
Pham Thanh Hieu ◽  
Hoang Van Tung

Cylindrical shells are usually buckled under complex and combined loading conditions. This article presents an analytical approach to investigate the buckling and postbuckling behaviors of cylindrical shells reinforced by single-walled carbon nanotubes, surrounded by an elastic medium, exposed to thermal environments, and subjected to combined axial compression and lateral pressure loads. Carbon nanotubes (CNTs) are imbedded into matrix phase by uniform distribution or functionally graded distribution along the thickness direction. The properties of constituents are assumed to be temperature dependent, and effective properties of CNT-reinforced composite (CNTRC) are determined by an extended rule of mixture. Governing equations are based on the classical shell theory (CST) taking von Karman–Donnell nonlinearity and surrounding elastic foundations into consideration. Three-term form of deflection is assumed to satisfy simply supported boundary conditions, and Galerkin method is applied to obtain nonlinear load–deflection relations from which buckling loads and postbuckling equilibrium paths are determined. Numerical examples are carried out to show the effects of CNT volume fraction, distribution types, thermal environments, preexisting nondestabilizing lateral pressure and axial compression loads, and elastic medium on the buckling and postbuckling behaviors of CNTRC cylindrical shells.


AIAA Journal ◽  
1997 ◽  
Vol 35 ◽  
pp. 1669-1671
Author(s):  
A. Tabiei ◽  
J. Sun ◽  
G. J. Simitses

1974 ◽  
Vol 96 (4) ◽  
pp. 1322-1327
Author(s):  
Shun Cheng ◽  
C. K. Chang

The buckling problem of circular cylindrical shells under axial compression, external pressure, and torsion is investigated using a displacement function φ. A governing differential equation for the stability of thin cylindrical shells under combined loading of axial compression, external pressure, and torsion is derived. A method for the solutions of this equation is also presented. The advantage in using the present equation over the customary three differential equations for displacements is that only one trial solution is needed in solving the buckling problems as shown in the paper. Four possible combinations of boundary conditions for a simply supported edge are treated. The case of a cylinder under axial compression is carried out in detail. For two types of simple supported boundary conditions, SS1 and SS2, the minimum critical axial buckling stress is found to be 43.5 percent of the well-known classical value Eh/R3(1−ν2) against the 50 percent of the classical value presently known.


2011 ◽  
Vol 11 (02) ◽  
pp. 215-236 ◽  
Author(s):  
MATTEO BROGGI ◽  
ADRIANO CALVI ◽  
GERHART I. SCHUËLLER

Cylindrical shells under axial compression are susceptible to buckling and hence require the development of enhanced underlying mathematical models in order to accurately predict the buckling load. Imperfections of the geometry of the cylinders may cause a drastic decrease of the buckling load and give rise to the need of advanced techniques in order to consider these imperfections in a buckling analysis. A deterministic buckling analysis is based on the use of the so-called knockdown factors, which specifies the reduction of the buckling load of the perfect shell in order to account for the inherent uncertainties in the geometry. In this paper, it is shown that these knockdown factors are overly conservative and that the fields of probability and statistics provide a mathematical vehicle for realistically modeling the imperfections. Furthermore, the influence of different types of imperfection on the buckling load are examined and validated with experimental results.


Sign in / Sign up

Export Citation Format

Share Document