Finite Extension of an Elastic Strand With a Central Core

1978 ◽  
Vol 45 (4) ◽  
pp. 852-858 ◽  
Author(s):  
N. C. Huang
Keyword(s):  
Cross Section ◽  
Circular Cross Section ◽  
Single Layer ◽  
Finite Extension ◽  
Contact Forces ◽  
Central Core ◽  
The Core ◽  
Axial Forces ◽  
Helical Angle ◽  
Curved Rods

This paper deals with the finite extension of an elastic strand with a central core surrounded by a single layer of helical wires subjected to axial forces and twisting moments. The central core is considered as a straight rod of circular cross section and the helical wires are regarded as slender curved rods with circular cross section. The theory of slender curved rods is used in the analysis. Geometrical nonlinearities due to the reductions in helical angle and cross section of the core and wires are included. It is found that as a result of the contact between the central core and helical wires, a separation between helical wires can occur during the extension of the strand. Stresses in the core and wires as well as the contact forces between the core and wires are analyzed for strands with various helical angles subjected to different axial forces. Examples are presented for the finite extension of strands with fixed ends and strands with free ends.

On the Extension of Elastic Two-Ply Filament Yarns

1975 ◽  
Vol 42 (4) ◽  
pp. 821-824 ◽  
Author(s):  
N. C. Huang
Keyword(s):  
Linear Theory ◽  
Cross Section ◽  
Circular Cross Section ◽  
Axial Extension ◽  
Curved Rods ◽  
Curved Rod ◽  
Helical Configuration

This paper deals with the small extension of linearly elastic two-ply filament yarns. Each filament is treated as a long slender curved rod with circular cross section and helical configuration. Analysis is based on the linear theory of slender curved rods. Two problems are investigated, namely, the extension of a yarn with fixed ends and the extension of a yarn with free ends. In comparison with a previous study of a similar problem, it is found that the method adopted in this paper can provide more accurate results and better geometrical and physical insights into the problem. In this study, the yarn elongation and the filament stress are determined for yarns with various helical angles. The effect of the superposition of a twisting moment on the axial extension is also investigated.

scholarly journals Cross-Sectional Geometry and the Intermetallics Structure in a High Pressure Die Cast Mg-Al Alloy

2010 ◽  
Vol 638-642 ◽  
pp. 1579-1584 ◽  
Author(s):  
A.V. Nagasekhar ◽  
Carlos H. Cáceres ◽  
Mark Easton
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Rectangular Cross Section ◽  
Circular Cross Section ◽  
Al Alloy ◽  
Cross Sectional ◽  
The Core ◽  
Die Cast ◽  
Increased Strength ◽  
Scanning Electron

Specimens of rectangular and circular cross section of a Mg-9Al binary alloy have been tensile tested and the cross section of undeformed specimens examined using scanning electron microscopy. The rectangular cross sections showed three scales in the cellular intermetallics network: coarse at the core, fine at the surface and very fine at the corners, whereas the circular ones showed only two, coarse at the core and fine at the surface. The specimens of rectangular cross section exhibited higher yield strength in comparison to the circular ones. Possible reasons for the observed increased strength of the rectangular sections are discussed.

On Deformation of the Injection Mold Core

2008 ◽  
Vol 44-46 ◽  
pp. 85-89
Author(s):  
J.J. Jia ◽  
Zheng Hao Ge ◽  
Y. Li
Keyword(s):  
Finite Element ◽  
Cross Section ◽  
Rectangular Cross Section ◽  
Special Section ◽  
Circular Cross Section ◽  
Injection Molding Process ◽  
Injection Mold ◽  
Molding Process ◽  
Finite Element Software ◽  
The Core

For injection mold with core, during the injection molding process, the pressure on the core is usually uneven and will cause the core to deform. In this paper, on the basis of some predigestions and assumptions of the model, formulas for forecasting the deformation of the circular cross-section and the rectangular cross-section cores under three different injection ways are analyzed. The theoretical analysis results of a core with special section are validated through finite element software. At the end, some suggestions are given to minish the core deformation when the calculation value is too large.

scholarly journals A Perturbative Method for Calculating the Impedance of Coils on Laminated Ferromagnetic Cores

2010 ◽  
Vol 2010 ◽  
pp. 1-24 ◽  
Author(s):  
Serguei Maximov ◽  
Allen A. Castillo ◽  
Vicente Venegas ◽  
José L. Guardado ◽  
Enrique Melgoza
Keyword(s):  
Perturbation Theory ◽  
Cross Section ◽  
Thermal Effects ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Circular Cross Section ◽  
The Self ◽  
The Core ◽  
Perturbative Method ◽  
Excellent Accuracy

A new set of formulas for calculating the self and mutual impedances of coils on straight and closed laminated ferromagnetic cores of circular cross-section has been derived. The obtained formulas generalize the well-known formulas for impedances of coils on homogeneous ferromagnetic cores, for the case of laminated cores, and improve the previously known formulas for laminated cores. The obtained formulas are fully consistent with Maxwell's equations and, therefore, offer an excellent accuracy. The perturbation theory and the average field technique are used to solve Maxwell's equations inside and outside the core. The solution inside the core can also be used in the analysis of thermal effects occurring inside the laminated core.

Analysis of Axially Loaded Annular Shells With Applications to Welded Bellows

1960 ◽  
Vol 82 (3) ◽  
pp. 741-753 ◽  
Author(s):  
M. Hetenyi ◽  
R. J. Timms
Keyword(s):  
Experimental Data ◽  
General Solution ◽  
Cross Section ◽  
Circular Cross Section ◽  
Radius Of Curvature ◽  
Approximate Design ◽  
Axial Forces ◽  
The Mean ◽  
Maximum Stresses ◽  
Toroidal Shells

A method is presented for the calculation of stresses and deflections in ring-shaped shells of circular cross section, subjected to axial forces. The solution is derived without the restriction imposed for toroidal shells by previous investigators, that the radius of curvature of the cross section is to be small in comparison with the mean radius of the torus. The range of applicability of the method is extended hereby to include the slightly arched convolutions used in the construction of welded bellows. By a rational reduction of the general solution approximate design formulas are obtained for the maximum stresses and deflections in bellows under axial forces and the calculated values are compared with experimental data.

Three-Point Flexural Normal Stress Analysis of Wood-Bamboo Sandwich Composite

2014 ◽  
Vol 672-674 ◽  
pp. 1894-1898
Author(s):  
Xin Feng Wu ◽  
Jian Ying Xu ◽  
Jing Xin Hao ◽  
Rui Liao ◽  
Zhu Zhong
Keyword(s):  
Normal Stress ◽  
Cross Section ◽  
Sandwich Beam ◽  
Single Layer ◽  
Bending Moment ◽  
Skin Layer ◽  
Sandwich Composite ◽  
The Core ◽  
Sandwich Construction ◽  
Core Thickness

In order to describe the bending property of sandwich beam with wood skin and binderless bamboo chips core, the effect of construction parameters and material type on bending normal stress and moment was analyzed systematically. It is shown that maximum bending normal stress of sandwich construction is bigger than homogeneous single layer beam with same cross section if the skin has higher modulus than the core. The bending moment can be taken almost by skin layer if the core modulus is much smaller than skin materials and core thickness should also be smaller to special point than total cross section. As for wood-bamboo sandwich composite, the core resistance to bending moment should be considered. The results can provide basic theory for design optimization of sandwich construction.

scholarly journals Influence of rotatory inertia on stochastic stability of a viscoelastic rotating shaft

2008 ◽  
Vol 35 (4) ◽  
pp. 363-379
Author(s):  
Ratko Pavlovic ◽  
P. Kozic ◽  
G. Janevski
Keyword(s):  
Cross Section ◽  
Stochastic Stability ◽  
Circular Cross Section ◽  
Longitudinal Axis ◽  
Physical Parameters ◽  
Rotatory Inertia ◽  
Rotating Shaft ◽  
Axial Forces ◽  
Constant Rate ◽  
Mean And Variance

The stochastic stability problem of a viscoelastic Voigt-Kelvin balanced rotating shaft subjected to action of axial forces at the ends is studied. The shaft is of circular cross-section, it rotates at a constant rate about its longitudinal axis of symmetry. The effect of rotatory inertia of the shaft cross-section and external viscous damping are included into account. The force consists of a constant part and a time-dependent stochastic function. Closed form analytical solutions are obtained for simply supported boundary conditions. By using the direct Liapunov method almost sure asymptotic stability conditions are obtained as the function of stochastic process variance, external damping coefficient, retardation time, angular velocity, and geometric and physical parameters of the shaft. Numerical calculations are performed for the Gaussian process with a zero mean and variance ?2 as well as for harmonic process with amplitude H.

Effect of Friction on Coupled Contact in a Twisted Wire Cable

2009 ◽  
Vol 77 (2) ◽  
Author(s):  
B. K. Gnanavel ◽  
D. Gopinath ◽  
N. S. Parthasarathy
Keyword(s):  
Contact Force ◽  
Contact Stress ◽  
Single Layer ◽  
Central Core ◽  
Numerical Analyses ◽  
Core Wire ◽  
The Third ◽  
The Core ◽  
Cable Assembly ◽  
Made In

A strand or cable consists of a central core surrounded by a number of wires wound helically in a single layer or multilayers. There are three modes of contact in a simple straight strand. The first type is a core-wire contact in which the wires in the layer are in contact with the core only. In the second type, the wires in the layer are in contact among themselves and not with the core, while in the third type there is a coupled contact among the core and all the wires. Most literature handled the cable assembly with either the core-wire or the wire-wire contact because of the simplicity of the loads acting in these distinct contact modes. An attempt is made in this paper to model the strand with a coupled core-wire and wire-wire contact and deduce its equations of equilibrium. The numerical analyses of strand force, twisting moment, strand stiffness, contact force, and contact stress are carried out based on the equilibrium of thin rods and the results are compared with earlier research works. The importance of the inclusion of interface forces and their effects is studied.

Study on a Preparation of PS Hollow Submicro-Fiber by Coaxial Electrospinning

2013 ◽  
Vol 652-654 ◽  
pp. 228-233
Author(s):  
Tai Qi Liu ◽  
Dan Lv ◽  
Xiao Long Zhao ◽  
Ning Gao ◽  
Na Zhao
Keyword(s):  
Drug Release ◽  
Cross Section ◽  
Circular Cross Section ◽  
Average Diameter ◽  
Gas Storage ◽  
Coaxial Electrospinning ◽  
Outer Flow ◽  
The Core ◽  
Polymer Liquids ◽  
Storage Energy

Coaxial electrospinning has been recognized as an efficient technique for fabrication of composite fibers with especial circular cross-section in a diameter from micrometers to nanometers. In this paper, PS hollow submicro-fibers have been successfully prepared by electrospinning two polymer liquids through a coaxial, two spinneret, followed by selective removal of the core. Moreover, the influence of the relative (inner-to-outer) flow rate on the morphology and the average diameter of the fibers have been studied. The hollow submicro-fibers are particularly attractive for use in catalysis, purification, separation, gas storage, energy conversion, drug release, sensing, and environmental protection.

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