Nonlinear analysis of cable structures under general loadings

Abad, Mostafa Salehi Ahmad; Shooshtari, Ahmad; Esmaeili, Vahab; riabi, alireza naghavi

doi:10.1016/j.finel.2013.05.002

Cited by 76 publications

(20 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For a single cable modelling, a wire suspended between two points 1 and 2 with Cartesian coordinates (0, 0, 0) and (l 1 , l 2 , l 3 ) is considered, as depicted in Figure 2 [22]. The distributed load w (expressed in (N/m) according to the IS) is decomposed along the three axes through its components w 1 , w 2 , w 3 (N/m).…”

Section: Base Theorymentioning

confidence: 99%

“…The distributed load w (expressed in (N/m) according to the IS) is decomposed along the three axes through its components w 1 , w 2 , w 3 (N/m). The cable equilibrium in a three-dimensional space is defined for each point through the dedicated Equation (2) [22], where: (i) s (m) and p (m) are the Lagrangian coordinates of the undeformed and deformed wire, respectively (distance from point 1); (ii) T(s) (N) is the cable tension at the Lagrangian coordinate s; (iii) x 1 , x 2 , x 3 (m) are 3D coordinates; and iv) f 1,1 , f 1,2 , f 1,3 (N) the projections of the external forces on node 1 (in the studied configuration, the tower forces):…”

Section: Base Theorymentioning

confidence: 99%

“…Considering the cable elastic modulus E (N/m 2 ), the cross-sectional area A (m 2 ), the linear thermal expansion coefficient α (1/K) and the cable over-temperature ∆T (K) with respect to the standard value T 0 (K), a generic formulation for the 3D position of each point of the cable is given by Equation (3) [22]:…”

Section: Base Theorymentioning

confidence: 99%

See 2 more Smart Citations

Use of Rod Compactors for High Voltage Overhead Power Lines Magnetic Field Mitigation

et al. 2017

View full text Add to dashboard Cite

Abstract:In the last decades, strengthening the high voltage transmission system through the installation of new overhead power lines has become critical, especially in highly developed areas. Present laws concerning the human exposure to electric and magnetic fields introduce constraints to be considered in both new line construction and existing systems. In the paper, a technique for passive magnetic field mitigation in areas close to overhead power lines is introduced, fully modelled and discussed through a parametric analysis. The investigated solution, which basically consists in approaching line conductors along the span making use of rod insulators, is applicable on both existing and under-design overhead lines as an alternative to other mitigating actions. Making use of a 3-dimensional representation, the procedure computes both positions of phase conductors and forces acting on insulators, towers, conductors and compactors, with the aim of evaluating the additional mechanical stress introduced by the compactors. Finally, a real case study is reported to demonstrate and quantify the benefits in terms of ground magnetic field reduction achievable by applying the proposed solution, in comparison to a traditional configuration. Furthermore, using compactors to passively reduce the magnetic field is simple to be applied, minimally invasive and quite inexpensive as regards to alternative mitigating actions.

show abstract

Section: Base Theorymentioning

confidence: 99%

Section: Base Theorymentioning

confidence: 99%

See 1 more Smart Citation

Use of Rod Compactors for High Voltage Overhead Power Lines Magnetic Field Mitigation

et al. 2017

View full text Add to dashboard Cite

show abstract

“…Four Gauss point is used for each element to analysis the structure with presented formulation. For analyzing the structure using the formulas proposed by Salehi Ahmad Abad et al (2013), a discrete element with six segments is utilized. Also Truss element is used for analyzing the structure with OpenSees and each cable is divided into five elements.…”

Section: Linear Four-member Cable Netmentioning

confidence: 99%

“…Therefore, using numerical methods for analyzing the structures is preferred, when the material nonlinearity is involved. For instance, Salehi Ahmad Abad et al (2013) used the numerical integration along the length of the cable to include the material nonlinearity. They used Lyman series for integration along the cable.…”

Section: Introductionmentioning

confidence: 99%

A Numerical Method to Material and Geometric Nonlinear Analysis of Cable Structures

Riabi

Shooshtari

2015

Mechanics Based Design of Structures and Machines

View full text Add to dashboard Cite

In this article, a numerical method is presented for computing the stiffness matrix and compatibility relations of cables under uniform distributed loads on any direction. Both the geometrical and material nonlinearities, including softening and yielding of material, are taken into account and the catenary cable element with gauss integration scheme is employed. The proposed formulation includes the effect of uniform distributed loads on any direction and 3D nodal forces to assess the geometric and possible material nonlinearity of cables. The derived equations are then applied to the analysis of cable structures. The accuracy of the responses obtained by the proposed method is evaluated by several benchmark solutions available in the literature. Results of numerical examples indicate the capability of the proposed stiffness matrix in prediction of the elastic and inelastic responses of cables. The proposed formulation is therefore recommended for cable elements to be used in the analysis of cable structures.

show abstract