Investigation of the stability of a cylindrical shell with a combination loading

1971 ◽  
Vol 7 (5) ◽  
pp. 554-557
Author(s):  
V. I. Mossakovskii ◽  
V. A. Zyuzin ◽  
G. N. Smelyi ◽  
V. I. Konokh ◽  
Yu. A. Ageev
Keyword(s):  
Cylindrical Shell ◽  
Combination Loading ◽  
The Stability

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.

Nonlinear Buckling Analysis of Long-Span Suspended Latticed Intersected Cylindrical Shell

2014 ◽  
Vol 919-921 ◽  
pp. 169-176 ◽  
Author(s):  
Ming Liang Zhu ◽  
Yan Sun
Keyword(s):  
Cylindrical Shell ◽  
Bearing Capacity ◽  
Single Layer ◽  
Ultimate Bearing Capacity ◽  
Buckling Analysis ◽  
Nonlinear Buckling ◽  
Long Span ◽  
The Stability ◽  
Nonlinear Buckling Analysis ◽  
Material Nonlinear

The Suspended Latticed Intersected Cylindrical Shell (SLICS) is a new structural system, composed by the single layer Latticed Intersected Cylindrical Shell (LICS) and the prestressed cable-strut system. Mechanical properties of this structure were investigated through nonlinear buckling analysis by the consistent imperfect buckling analysis method, compared with the single layer LICS. Structure parameters including prestress level, member section, length of bar, rise-span ratio, obliquity were analyzed. And the effect of material nonlinearity on the stability was studied. Results show that the ultimate bearing capacity of the SLICS is improved as the introduction of prestress. However the prestress level has a limited impact on the ultimate bearing capacity. And the material nonlinear is very important to the stability of the SLICS.

The stability of cylindrical shell under gravity load

1971 ◽  
Vol 7 (8) ◽  
pp. 1109-1123 ◽  
Author(s):  
W. Flügge ◽  
George C.M. Chiang
Keyword(s):  
Cylindrical Shell ◽  
Gravity Load ◽  
The Stability

Study on Stability of Functionally Graded Cylindrical Shells Subjected to Hydrostatic Pressure

2014 ◽  
Vol 580-583 ◽  
pp. 2920-2923 ◽  
Author(s):  
Xiao Wan Liu ◽  
Bin Liang ◽  
Rong Li
Keyword(s):  
Cylindrical Shell ◽  
Hydrostatic Pressure ◽  
Critical Pressure ◽  
Shell Theory ◽  
Volume Fraction ◽  
Cylindrical Shells ◽  
Functionally Graded ◽  
Fitting Method ◽  
Wave Propagation Method ◽  
The Stability

The stability of submerged functionally graded (FG) cylindrical shell under hydrostatic pressure is examined in this paper. Based on the Flügges shell theory, the coupled frequency of submerged FG cylindrical shell is obtained, using wave propagation method and Newton method. Then the critical pressure of FG cylindrical shells is given by applying linear fitting method. Results are compared to known solutions, where these solutions exist. The effects of constituent materials, volume fraction, boundary condition and dimensions on the critical pressures of submerged FG cylindrical shell are illustrated by examples.

scholarly journals Stability analysis of cylindrical shells subjected to complex loads

2001 ◽  
Vol 23 (4) ◽  
pp. 247-256
Author(s):  
Ngo Huong Nhu
Keyword(s):  
Cylindrical Shell ◽  
Stability Analysis ◽  
Composite Shell ◽  
Laminated Composite ◽  
Numerical Results ◽  
Load Pressure ◽  
Combined Loads ◽  
Analytical Result ◽  
The Stability ◽  
Good Agreement

The paper deals with stability analysis of shell on the basis FEM via Castem 2000. The numerical results of stability problems of cylinders subjected to different loads as compress load, pressure, concentrated and combined loads are compared with analytical result and give a good agreement. The influence of changing radius of the cylindrical shell on the unstable forms and the influence of angles of fibers on unstable behaviour of laminated composite shell are considered. Numerical results and corresponding programs by languages Gibian given in the paper to realize software Castem 2000 can be applied in the design and in the stability analysis of the shell with more complex conditions

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