Dynamic instability of truncated conical shells under periodic axial load

1974 ◽  
Vol 10 (2) ◽  
pp. 169-176 ◽  
Author(s):  
J Tani
Keyword(s):  
Axial Load ◽  
Dynamic Instability ◽  
Conical Shells

Influence of Deformations Prior to Instability on the Dynamic Instability of Conical Shells Under Periodic Axial Load

1976 ◽  
Vol 43 (1) ◽  
pp. 87-91 ◽  
Author(s):  
J. Tani
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Axial Load ◽  
Basic Equation ◽  
Natural Frequencies ◽  
Dynamic Instability ◽  
Forced Vibrations ◽  
The Other ◽  
Conical Shells ◽  
Instability Regions

The dynamic instability of clamped, truncated conical shells under periodic axial load is studied using the Donnell-type basic equation and considering the effect of bending deformations before instability. Two principal instability regions are determined by combining Bolotin’s method and a finite-difference method. One of these belongs to double the natural frequencies of asymmetrical vibration; the other corresponds to the resonance of symmetrically forced vibrations. The effects of static axial load and end-plate mass on the principal instability regions are also investigated.

Transverse Vibration of a Viscoelastic Column With Initial Curvature Under Periodic Axial Load

1969 ◽  
Vol 36 (4) ◽  
pp. 814-818 ◽  
Author(s):  
K. K. Stevens
Keyword(s):  
Polymethyl Methacrylate ◽  
Transverse Vibration ◽  
Axial Load ◽  
Dynamic Instability ◽  
Complex Modulus ◽  
Lateral Vibrations ◽  
Lateral Response ◽  
Viscoelastic Column ◽  
Linear Viscoelastic ◽  
Frequency Curves

The lateral response of a slightly curved viscoelastic column subjected to a periodic axial load P0 + P1 cos ωt is investigated. The analysis makes use of the complex modulus representation for linear viscoelastic materials. It is shown that the lateral vibrations stemming from imperfections can be of significant amplitude. Experimentally determined amplitude-frequency curves for a polymethyl methacrylate (Plexiglas) column are presented, and are found to be in excellent agreement with the theory. It is shown that there is an analogy between the dynamic instability and the static buckling of imperfect columns.

Buckling of Truncated Conical Shells Under Combined Axial Load, Pressure, and Heating

1985 ◽  
Vol 52 (2) ◽  
pp. 402-408 ◽  
Author(s):  
J. Tani
Keyword(s):  
Axial Load ◽  
Uniform Pressure ◽  
Uniform Heating ◽  
Buckling Mode ◽  
Load Pressure ◽  
Buckling Loads ◽  
Conical Shells ◽  
Shell Equations ◽  
The Difference ◽  
Interaction Curves

On the basis of the Donnell-type shell equations with the effect of nonlinear prebuckling deformations taken into consideration, a theoretical analysis is performed on the buckling of clamped truncated conical shells under two loads combined out of uniform pressure, axial load, and uniform heating. The problem is solved by a finite difference method. It is found that the interaction curves of buckling loads are changed remarkably by the difference in the shape of conical shells. This is due to the large nonlinear prebuckling deformation and the difference in the buckling mode between two cases of single load.

Prediction of axial hysteresis in locked coil ropes

1996 ◽  
Vol 31 (5) ◽  
pp. 341-351 ◽  
Author(s):  
M Raoof ◽  
I Kraincanic
Keyword(s):  
Theoretical Model ◽  
Cross Section ◽  
Axial Load ◽  
Dynamic Instability ◽  
Contact Forces ◽  
Damping Capacity ◽  
Outermost Layer ◽  
Parametric Studies ◽  
Load Perturbations ◽  
Practical Implications

In published literature, the strand constructions dealt with have almost invariably involved only wires which are circular in cross-section. There are, however, instances when shaped wires are used in, for example, half-lock and full-lock coil constructions. The paper reports details of a theoretical model which enables an insight to be gained into various characteristics of axially loaded lock coil ropes. The model is based on an extension of a previously reported orthotropic sheet concept and provides a fairly simple means of estimating wire kinematics, interwire/interlayer contact forces, effective axial stiffnesses and axial hysteresis in axially preloaded locked coil ropes experiencing uniform cyclic axial load perturbations. The theory takes interwire contact deformations and friction into account. Final numerical results based on theoretical parametric studies on some substantial cables highlight the substantial role that the outermost layer(s) with shaped wires play as regards the overall axial damping capacity of fully bedded-in (old) locked coil ropes, and it is found that (for the same lay angles and outer diameters) axial hysteresis in locked coil ropes is generally higher than spiral strands which are composed of only round wires. This finding may have significant practical implications in terms of the design against dynamic instability of structures supported by such cables.

Free Vibration of Axially Loaded Laminated Conical Shells

1999 ◽  
Vol 66 (3) ◽  
pp. 758-763 ◽  
Author(s):  
L. Tong
Keyword(s):  
Free Vibration ◽  
Axial Load ◽  
Governing Equations ◽  
Load Effect ◽  
Critical Buckling Load ◽  
Conical Shells ◽  
Axial Tension ◽  
Axially Loaded ◽  
Constant Axial Load ◽  
Laminated Conical Shells

Analytical solutions for the three displacements are obtained, in the form of power series, directly from the three governing equations for free vibration of laminated conical shells under axial load. Numerical results are presented for free vibration of axially loaded laminated conical shells with different geometric parameters and under two types of boundary conditions. It is found that an axial tension increases the frequencies while an axial compression decreases the frequencies. For the shells studied, the effect of axial load on the lowest frequency of the shell is found to be not sensitive to change in semivertex angle when the applied axial load is kept as a constant fraction of the critical buckling load. However, the axial load effect becomes very sensitive to variation in semivertex angle when a constant axial load is applied.

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