Modeling the discrete coupling of layers in calculating the stability of a two-layered cylindrical shell

1982 ◽  
Vol 18 (7) ◽  
pp. 615-619
Author(s):  
N. P. Semenyuk ◽  
N. B. Boiko
Keyword(s):  
Cylindrical Shell ◽  
Layered Cylindrical Shell ◽  
The Stability

The specially orthotropic GRP multi-layered cylindrical shell—The radial patch load

1988 ◽  
Vol 9 (1) ◽  
pp. 69-83 ◽  
Author(s):  
A.S. Tooth ◽  
W.M. Banks ◽  
D.H.A. Rahman
Keyword(s):  
Cylindrical Shell ◽  
Layered Cylindrical Shell ◽  
Patch Load

Wave based analysis of the Green’s function for a layered cylindrical shell

2012 ◽  
Vol 132 (1) ◽  
pp. 173-179
Author(s):  
Elizabeth A. Magliula ◽  
J. Gregory McDaniel
Keyword(s):  
Cylindrical Shell ◽  
Green’S Function ◽  
Green's Function ◽  
Layered Cylindrical Shell

Dynamic thermo-elastic response of a discrete multi-layered cylindrical shell subjected to transient thermal loading

2008 ◽  
Vol 222 (4) ◽  
pp. 549-561 ◽  
Author(s):  
J Y Zheng ◽  
X D Wu ◽  
Y J Chen ◽  
G D Deng ◽  
Q M Li ◽  
...  
Keyword(s):  
Cylindrical Shell ◽  
Boundary Conditions ◽  
Thermal Loading ◽  
Elastic Response ◽  
Elastic Part ◽  
Dynamic Part ◽  
Layered Cylindrical Shell ◽  
Stress Boundary Conditions ◽  
Transient Thermal ◽  
Stress Boundary

Explosion containment vessels (ECVs) are used to fully contain the effects of explosion events. A discrete multi-layered cylindrical shell (DMC) consisting of a thin inner cylindrical shell and helically cross-winding flat steel ribbons has been proposed, which has obvious advantages of fabrication convenience and low costs. The applications of ECVs are closely associated with blast and thermal loads, and thus, it is important to understand the response of a DMC under transient thermal load in order to develop a design code and operation procedures for the use of DMC as ECV. In this paper, a mathematical model for the elastic response of a DMC subjected to thermal loading due to rapid heating is proposed. Based on the axisymmetric plane strain assumption, the displacement solution of the dynamic equilibrium equations of both inner shell and outer ribbon layer are decomposed into two parts, i.e. a thermo-elastic part satisfying inhomogeneous stress boundary conditions and a dynamic part for homogeneous stress boundary conditions. The thermo-elastic part is solved by a linear method and the dynamic part is determined by means of finite Hankel transform and Laplace transform. The thermo-elastic solution of a DMC is compared with the solution of a monobloc cylindrical shell, and numerical results are presented and discussed in terms of winding angle and material parameters.

The Stability of a Radial Convergence of a Cylindrical Shell Consisting of Viscous Incompressible Liquid

2020 ◽  
Vol 58 (1) ◽  
pp. 101-106
Author(s):  
Yu. G. Gubarev ◽  
D. A. Fursova
Keyword(s):  
Cylindrical Shell ◽  
Incompressible Liquid ◽  
Viscous Incompressible Liquid ◽  
The Stability

scholarly journals Scattering from a multi‐layered cylindrical shell containing a bulkhead

1994 ◽  
Vol 95 (5) ◽  
pp. 2869-2869 ◽  
Author(s):  
David C. Ricks ◽  
Henrik Schmidt
Keyword(s):  
Cylindrical Shell ◽  
Layered Cylindrical Shell

Dynamic Stability of a Nonlinear Cylindrical Shell

1984 ◽  
Vol 51 (4) ◽  
pp. 852-856 ◽  
Author(s):  
A. Tylikowski
Keyword(s):  
Cylindrical Shell ◽  
Sufficient Conditions ◽  
Middle Surface ◽  
Elastic Cylindrical Shell ◽  
Time Varying ◽  
Liapunov Method ◽  
Linearized Problem ◽  
Nonlinear Shell ◽  
The Stability ◽  
Radial Loading

The stability of the undeflected middle surface of a uniform elastic cylindrical shell governed by Ka´rma´n’s equations is studied. The shell is being subjected to a time-varying axial compression as well as a uniformly distributed time-varying radial loading. Using the direct Liapunov method sufficient conditions for deterministic asymptotic as well as stochastic stability are obtained. A relation between stability conditions of a linearized problem and that of Ka´rma´n’s equations is found. Contrary to the stability theory of nonlinear plates it is established that the linearized problem should be modified to ensure the stability of the nonlinear shell. The case when the shell is governed by the Itoˆ stochastic nonlinear equations is also discussed.

ANALYSIS OF NONLINEAR MAGNETOELASTIC DYNAMICS AND STABILITY OF CONDUCTIVE CYLINDRICAL SHELLS

2010 ◽  
Vol 10 (01) ◽  
pp. 153-164
Author(s):  
YUDA HU ◽  
JIANG ZHAO ◽  
PI JUN ◽  
GUANGHUI QING
Keyword(s):  
Cylindrical Shell ◽  
Multiple Scales ◽  
Method Of Multiple Scales ◽  
Approximate Analytical Solution ◽  
Transverse Magnetic ◽  
Field Equations ◽  
Thin Cylindrical Shell ◽  
The Stability ◽  
Magnetic Induction Intensity ◽  
Steady State Solutions

The nonlinear magnetoelastic vibration equations and electromagnetic field equations of a conductive thin cylindrical shell in magnetic fields are derived. The nonlinear principal resonances and dynamic stabilities of the cylindrical shell simply supported in a transverse magnetic field are investigated. Approximate analytical solution and bifurcation equations of the system with principal resonances are obtained by using the method of multiple scales. The stabilities and singularities of the steady-state solutions are analyzed and the stability criterion is given. The transition sets and bifurcation figures of unfolding parameters are also obtained. The variations of the resonance amplitudes with respect to the detuning parameter, the magnetic induction intensity, and the amplitude of excitations are presented. The corresponding phase trajectories in moving phase planes are given. The stabilities of solutions, characteristics of singular points, and bifurcation are analyzed. The impacts of electromagnetic and mechanical parameters on dynamic behaviors are discussed in detail.

Numerical investigation of the stability of forced nonlinear vibrations of a shallow cylindrical shell

1989 ◽  
Vol 21 (4) ◽  
pp. 507-511
Author(s):  
G. V. Isakhanov ◽  
E. S. Dekhtyaryuk ◽  
E. D. Lumel'skii
Keyword(s):  
Cylindrical Shell ◽  
Numerical Investigation ◽  
Nonlinear Vibrations ◽  
Shallow Cylindrical Shell ◽  
The Stability

The stability of a cylindrical shell of elliptic cross section in compression

1967 ◽  
Vol 3 (5) ◽  
pp. 76-78 ◽  
Author(s):  
I. N. Ginzburg
Keyword(s):  
Cylindrical Shell ◽  
Cross Section ◽  
Elliptic Cross Section ◽  
Elliptic Cross ◽  
The Stability
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