Prediction of the critical axial force of an imperfect cylindrical shell

1995 ◽  
Vol 31 (8) ◽  
pp. 637-641 ◽  
Author(s):  
A. S. Pal'chevskii ◽  
V. G. Kirichenko
Keyword(s):  
Cylindrical Shell ◽  
Axial Force ◽  
Imperfect Cylindrical Shell ◽  
Critical Axial Force

Stability and Natural Characteristics of a Supported Beam

2011 ◽  
Vol 338 ◽  
pp. 467-472 ◽  
Author(s):  
Ji Duo Jin ◽  
Xiao Dong Yang ◽  
Yu Fei Zhang
Keyword(s):  
Eigenvalue Problem ◽  
Boundary Conditions ◽  
Axial Force ◽  
Critical Values ◽  
Rotational Spring ◽  
Analytical Expression ◽  
The Stability ◽  
Spring Constants ◽  
Critical Axial Force ◽  
Natural Characteristics

The stability, natural characteristics and critical axial force of a supported beam are analyzed. The both ends of the beam are held by the pinned supports with rotational spring constraints. The eigenvalue problem of the beam with these boundary conditions is investigated firstly, and then, the stability of the beam is analyzed using the derived eigenfuntions. According to the analytical expression obtained, the effect of the spring constants on the critical values of the axial force is discussed.

Limit Analysis for Combined Edge and Pressure Loading on a Cylindrical Shell

1971 ◽  
Vol 93 (4) ◽  
pp. 998-1006
Author(s):  
H. S. Ho ◽  
D. P. Updike
Keyword(s):  
Cylindrical Shell ◽  
Velocity Field ◽  
Axial Force ◽  
Shear Force ◽  
Circular Cylindrical Shell ◽  
Yield Condition ◽  
External Pressure ◽  
Tresca Yield Condition ◽  
Stress States ◽  
Range Of Values

Equations describing the stress field and velocity field occurring in a circular cylindrical shell at plastic collapse are derived corresponding to stress states lying on each face of a yield surface for a uniform shell of material obeying the Tresca yield condition. They are then applied to the case of a shell under combined axisymmetric loadings (moment, shear force, and axial force) at one end and uniform internal or external pressure on the lateral surface. For a sufficiently long shell, complete solutions are obtained for a fixed far end, and for a certain range of values of axial force and pressure, they are obtained for a free far end. All the solutions are represented by either closed form or by quadratures. It is shown that in many cases the radial velocity field is proportional to the shear force.

scholarly journals Elastic Critical Axial Force for the Torsional-Flexural Buckling of Thin-Walled Metal Members: An Approximate Method

2015 ◽  
Vol 23 (1) ◽  
pp. 23-32 ◽  
Author(s):  
Michal Kováč
Keyword(s):  
Differential Equations ◽  
Approximate Method ◽  
Axial Force ◽  
Reference Method ◽  
Critical Force ◽  
Buckling Mode ◽  
Flexural Buckling ◽  
Coupled Equations ◽  
Thin Walled ◽  
Critical Axial Force

Abstract Thin-walled centrically compressed members with non-symmetrical or mono-symmetrical cross-sections can buckle in a torsional-flexural buckling mode. Vlasov developed a system of governing differential equations of the stability of such member cases. Solving these coupled equations in an analytic way is only possible in simple cases. Therefore, Goľdenvejzer introduced an approximate method for the solution of this system to calculate the critical axial force of torsional-flexural buckling. Moreover, this can also be used in cases of members with various boundary conditions in bending and torsion. This approximate method for the calculation of critical force has been adopted into norms. Nowadays, we can also solve governing differential equations by numerical methods, such as the finite element method (FEM). Therefore, in this paper, the results of the approximate method and the FEM were compared to each other, while considering the FEM as a reference method. This comparison shows any discrepancies of the approximate method. Attention was also paid to when and why discrepancies occur. The approximate method can be used in practice by considering some simplifications, which ensure safe results.

Effect of Different Winding Angle of Fiberglass on Parametric Stability of Structurally Anisotropic Cylindrical Axisymmetric Shells

2013 ◽  
Vol 274 ◽  
pp. 78-81
Author(s):  
Yan Fu Wang ◽  
Zhi Wei Wang
Keyword(s):  
Stability Analysis ◽  
Elastic Properties ◽  
Axial Force ◽  
Anisotropic Material ◽  
Parametric Stability ◽  
Reinforced Plastic ◽  
Axisymmetric Shells ◽  
Unstable Vibration ◽  
Winding Angle ◽  
Critical Axial Force

In this paper, the dynamical stability analysis of anisotropic cylindrical shells under uniformly distributed periodic extensional axial force is presented, while the winding angle varies. Fiberglass reinforced plastic is considered as a homogeneous solid anisotropic material. The shell’s elastic properties depend on the winding angle of fiberglass. The effect of the winding angle on the critical axial force is investigated. The intervals of winding angles at which the parametrically unstable vibration happen are determined

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.

Research on Vibration and Instability of the Double-Span Beam Base on Transfer Matrix

2009 ◽  
Vol 16-19 ◽  
pp. 160-163 ◽  
Author(s):  
Ting Liu ◽  
Fei Feng ◽  
Ya Zhe Chen ◽  
Bang Chun Wen
Keyword(s):  
Free Vibration ◽  
Transfer Matrix ◽  
Axial Compression ◽  
Axial Force ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Natural Frequencies ◽  
Euler Beam ◽  
Intermediate Support ◽  
Critical Axial Force

The vibration and instability of a beam which is Double-span Euler Beam with axial force is studied by transfer matrix method. The transfer matrix of transverse free vibration and axial compression of the beam is derived. Then based on the assembled transferring matrix, the effect of the position of intermediate support on the natural frequencies and Euler critical axial force of the beam is discussed, which offered a useful method to start research of vibration of complicated framework.

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