Nonlinear Modeling of Cables with Flexural Stiffness

Mathematical Problems in Engineering - Tập 2008 Số 1 - 2008
Walter Lacarbonara1, Arnaud Pacitti2
1Structural and Geotechnical Engineering
2ENTPE: Ecole Nationale des Travaux Publics de l’Etat

Tóm tắt

A geometrically exact formulation of cables suffering axis stretching and flexural curvature is presented. The dynamical formulation is based on nonlinearly viscoelastic constitutive laws for the tension and bending moment with the additional constitutive nonlinearity accounting for the no‐compression condition. A continuation method, combined with a mixed finite‐difference spatial discretization, is then employed to path‐follow the static responses of cables subject to forces or support displacements. These computations, conducted in the quasistatic regime, are based on cables with linearly elastic material behaviors, whereas the nonlinearity is in the geometric stiffness terms and the no‐compression behavior. The finite‐difference results have been confirmed employing a weak formulation based on quadratic Lagrangian finite elements. The influence of the flexural stiffness on the nonlinear static responses is assessed comparing the results with those obtained for purely extensible cables. The properties of the frequencies of the linear normal modes of cables with flexural stiffness are also investigated and compared with those of purely extensible cables.

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Tài liệu tham khảo

Irvine H. M., 1984, Cables Structures

10.1016/0020-7462(84)90017-9

10.1016/S0020-7462(98)00065-1

10.1115/1.1777225

10.1115/1.2748463

10.1016/j.ijnonlinmec.2007.02.013

Burgess J. J., 1993, Bending stiffness in a simulation of undersea cable deployment, International Journal of Offshore and Polar Engineering, 3, 197

10.1006/jsvi.1994.1239

10.1016/S0029-8018(97)00020-6

10.1006/jsvi.2002.5060

10.1016/S0029-8018(01)00087-7

10.1016/S0022-460X(02)01475-X

10.1016/S0022-460X(02)01090-8

10.1016/S0022-460X(03)00513-3

Wu Q., 2007, Influence of cable loosening on nonlinear parametric vibrations of inclined cables, Structural Engineering & Mechanics, 25, 219, 10.12989/sem.2007.25.2.219

Antman S. S., 2005, Nonlinear Problems of Elasticity

Fox L., 1957, The Numerical Solution of Two-Point Boundary Problems in Ordinary Differential Equations

MATHEMATICA 2007 Wolfram Research Inc. Urbana Champaign Ill USA.

COMSOL 2005 Comsol Multiphysics Inc. Stokholm Sweden.

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Mathematical Problems in Engineering

Tập 2008 Số 1

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