Nonlinear finite element analysis of three‐dimensional free and harmonically forced vibrations of stranded conductor cables

Oliveto, Nicholas D.; Sivaselvan, M. V.

doi:10.1002/eqe.2449

Cited by 5 publications

(3 citation statements)

References 22 publications

(39 reference statements)

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“…It's worth noting that both terms, k 33 and k 44 , vary between zero and the maximum value m ∑ j=1 n j 2 cos 3 (α j ) EA w, j R 2 j , corresponding to the slip-and stick-state limit kinematic assumptions, respectively. Therefore, the direct bending stiffness of the strand ranges between the minimum value EI min , defined in equation (32), and the maximum value:…”

Section: Tangent Stiffness Matrixmentioning

confidence: 99%

“…Classic two-and three-dimensional beam theories have been recently adopted to study the flexural vibrations of short metallic strands, by Spak et al (2014) and Oliveto and Sivaselvan (2014) respectively. Both these approaches are quite suitable for large-scale structural analyses, but, since they rely on the assumption of homogeneous isotropic material, do not allow to capture the previously mentioned complex interwire interactions as well as their effects on the hysteretic bending behavior of metallic cables.…”

Section: Introductionmentioning

confidence: 99%

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Mechanical modeling of metallic strands subjected to tension, torsion and bending

Foti

Martinelli

2016

International Journal of Solids and Structures

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Aim of the present work is to build a link between a structural theory for large-scale analyses of three-dimensional cable structures undergoing, in general, large displacements and rotations, and a refined mechanical description of metallic strands, fully accounting for their composite nature and hysteretic bending behavior. A new formulation for metallic strands is presented. The strand overall mechanical behavior is modeled according to the Euler-Bernoulli beam theory. A constitutive law relating the cross sectional generalized stresses and strains of the adopted structural model is obtained by summing over the individual contributions of wires. Each wire in the strand is individually modeled as a curved thin rod. Kinematic equations are proposed to relate the wire generalized strain variables to those of the strand cross section. The equilibrium of the individual wires is analyzed under the hypothesis of radial contact between adjacent layers taking, most notably, also into account the effects due to the residual radial contact forces induced by the strand manufacturing process. Deformations of contact surfaces are neglected and friction is accounted for, through the Amontons-Coulomb law, in the study of the stick-slip conditions. The proposed sectional model accounts for some distinctive characteristic aspects of wire ropes, such as the coupling between axial force and torque and the non-linear, and non-holonomic, relation between bending moment and curvature, which is a consequence of sliding of wires. The performance of the proposed formulation is assessed with reference to well-documented physical tests and established analytical formulations. Moreover, the role of the residual contact forces due to the stranding process, on the bending behavior of a typical multi-layer strand is assessed

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Section: Tangent Stiffness Matrixmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mechanical modeling of metallic strands subjected to tension, torsion and bending

Foti

Martinelli

2016

International Journal of Solids and Structures

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“…Recently, Oliveto and Sivaselvan (2014a) extended the 3D finite-deformation beam model developed by Simo (1985) to include viscous damping, and applied it to describe the dynamic behavior of flexible cables. The formulation was verified with the commercial software ABAQUS and validated with shake table tests on electrical conductor cables performed at the SEESL laboratory at the University at Buffalo (Oliveto and Sivaselvan 2014b). In the present work, the above 3D beam model is appropriately modified and applied to the static and dynamic behavior of mooring cables in water.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of Mooring Cables with Application to Floating Offshore Wind Turbines

2016

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Floating offshore wind turbines are recently being considered widely for adoption in the wind power industry, attracting interest of several researchers and calling for the development of appropriate computational models and techniques. In the present work, a nonlinear finite element formulation is proposed and applied to the static and dynamic analysis of mooring cables. Numerical examples are presented, and in particular, a mooring cable typically used for floating offshore wind turbines is analyzed. Hydrodynamic effects on the cable are accounted for using the Morison approach. A key enabling development here is an algorithmic tangent stiffness operator including hydrodynamic coupling. Numerical results also suggest that previously empirical hydrodynamic coefficients could be obtained by fully coupled fluidstructure interaction. Convergence rate and energy balance calculations have been used to demonstrate the accuracy of computed solutions. The introduction of the developed cable model in a framework for the study of the global behavior of floating offshore wind turbines is subject of current work. Source code developed for this work is available as online supplemental material with the paper.

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An analytical approach to model the hysteretic bending behavior of spiral strands

Foti

Martinelli

2016

Applied Mathematical Modelling

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Spiral strands are lightweight and flexible structural elements, widely employed in many different applications, moreover, they are the basic components of stranded wire ropes. Bending behavior can play an important role in modeling slack cables and in "critical" regions of flexible ropes, such as in the neighborhood of clamping devices. When a strand is bent, wires tend to slip relatively one to each other. In the present work, the critical conditions for the onset of inter-layer sliding are investigated by defining the limit domain for wire slipping (the domain of "admissible values" for the axial force of a generic wire, accounting also for the contribution due to bending of the strand). The special case of uniform bending of the strand is considered and a closed form expression of the limit domain is presented. The non-holonomic nature of the strand mechanical model developed in this work leads to a lacking of symmetry for the tangent stiffness matrix. In the paper it is proved that this condition can be de facto relaxed in practical applications and that an elastic potential function, relating the generalized stress and strain variables of the strand in bending, can be defined only under the limit kinematic hypotheses of "full stick-state" or of "full slip-state". The aforementioned results are used as the starting block from which the strand full mechanical behavior for coupled axial force and bending is derived. Knowledge in closed form of how the limit domain depends upon the strand construction parameters and current stress conditions paves the way to design optimization of the strand

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Nonlinear finite element analysis of three‐dimensional free and harmonically forced vibrations of stranded conductor cables

Cited by 5 publications

References 22 publications

Mechanical modeling of metallic strands subjected to tension, torsion and bending

Mechanical modeling of metallic strands subjected to tension, torsion and bending

Dynamic Analysis of Mooring Cables with Application to Floating Offshore Wind Turbines

An analytical approach to model the hysteretic bending behavior of spiral strands

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