Abstract
In this study, a numerical model is proposed for the analysis of a simply supported structural cable. Smoothed particle hydrodynamics (SPH)—a mesh-free, Lagrangian method with advantages for analysis of highly deformable bodies—is utilized to model a cable. In the proposed numerical model, it is assumed that a cable has only longitudinal stiffness in tension. Accordingly, SPH equations derived for solid mechanics are adapted for a structural cable, for the first time. Besides, a proper damping parameter is introduced to capture the behavior of the cable more realistically. In order to validate the proposed numerical model, different experimental and numerical studies available in the literature are used. In addition, novel experiments are carried out. In the experiments, different harmonic motions are applied to a uniformly loaded cable. Results show that the SPH method is an appropriate method to simulate the structural cable.
Highlights
Cable is a general name for structural elements with a high ratio of length per diameter
Cables are widely used in civil engineering structures as the main component of them
The Smoothed particle hydrodynamics (SPH) method is implemented with an additional damping term to simulate the dynamic behavior of a structural cable element
Summary
Cable is a general name for structural elements with a high ratio of length per diameter. Different analysis methods have been proposed to simulate highly nonlinear cable elements. Nonlinearity of the cable was directly considered in various studies by using the finite element method. Closed-form solutions were proposed which consider the nonlinearity of the cable by assuming a deflected shape [3]. Instead of closed-form solutions and linear approaches, different finite element methods have been proposed. A meshless finite difference method (MFDM) was proposed to simulate cables. As a result of a large deflection problem including rigid body motion due to small transverse stiffness, cables can be considered as a very suitable structural element to be modeled by particle-based methods. The SPH method is implemented with an additional damping term to simulate the dynamic behavior of a structural cable element.
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