Comparative assessment of the contending force and placement methods for weightless sagging cables

Kumar, Pankaj; Ganguli, Abhijit; Benipal, Gurmail S.

doi:10.1007/s42107-019-00163-9

Cited by 2 publications

(2 citation statements)

References 13 publications

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“…The constitutive equations and equations of motion earlier developed [8] is applied here for seismic analysis of a particular sagging planer cable structure. Also, the Placement Model developed is compared with the earlier developed Force Model [9].…”

Section: Introductionmentioning

confidence: 99%

Seismic Analysis of Sagging Elasto-flexible Cable using Placement Model

et al. 2022

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Weightless sagging elasto-flexible cables lack unique natural state. However, heavy cables are assumed their natural state under their self-weight for predicting their static and dynamic response. In most of the existing literatures the nodal coordinates or placements are generally defined in reference to the chosen Cartesian coordinate system for the discrete formulation called here Placement Model. In this paper, Placement Model is applied to predict the seismic response of weightless sagging cables. The cable is fixed at their both the ends and two masses are attached in its intermediate points leading to a 2-node 4-DOF system. The dynamic response of the cable node is investigated by applying two different seismic excitations in three different conditions as only horizontal excitation, only vertical excitation and both horizontal and vertical excitation act simultaneously. El-Centro and Loma Preta Seismic excitation is applied to predict the seismic response of the cables.

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Section: Introductionmentioning

confidence: 99%

Seismic Analysis of Sagging Elasto-flexible Cable using Placement Model

et al. 2022

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“…Of course, in both the Placement and the Force Models, the nodal deformed placements constitute the primary kinematic variables in the equation of motion. The proposed Force Model by the Author's is compared with the existing Placement Model [8].…”

Section: Introductionmentioning

confidence: 99%

Empirical Validation of Free Vibration of Sagging Cables

2022

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Sagging cables lack unique natural state, but possess unique equilibrium state under sustained loads. However, for the purpose of predicting their dynamic response, the static equilibrium state of heavy cables under self-weight is assumed to be their initial state. The theory of sagging elastic cables presented earlier by the Authors pertains to weightless cables carrying nodal masses apart from static and inertial forces. For applying the proposed theory for sagging heavy cables, the cable is divided into ten segments of equal length. The initial equilibrium configuration of the cable fixed at both the ends is determined by the weights of these lumped nodal masses applied at ten nodes with one end fixed. The stiffness matrix of the cable is determined from tangent configurational flexibility matrix and tangent elastic flexibility matrix of twenty degree of freedom system. The cable tied at both the ends in an equilibrium state is set into motion by releasing it at one end. The theoretically predicted response of the cable is compared with the experimental data from the two investigations. The first experimental investigation by Fried pertains to the planar undamped vibrations of a sagging elastic cable, in which cable is released from its right end and its configurations are plotted at regular time intervals of 0.001s. In the second investigation by Koh, Zhang and Quek, the configurations of a different cable at regular time intervals of 0.125s during half the vibration cycle is measured. The dynamic tensile force at the fixed end has also been predicted in the latter case. The theoretical prediction of the evolving cable configuration have been found to be compatible with experimental data.

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Comparative assessment of the contending force and placement methods for weightless sagging cables

Cited by 2 publications

References 13 publications

Seismic Analysis of Sagging Elasto-flexible Cable using Placement Model

Seismic Analysis of Sagging Elasto-flexible Cable using Placement Model

Empirical Validation of Free Vibration of Sagging Cables

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