On the modal response of mobile cables. (1st May 2020)

• Record Type: Journal Article
• Authors: Bertrand, C.; Plut, C.; Savadkoohi, A. Ture; Lamarque, C.-H.
• Is Part Of: Engineering structures. Volume 210(2020)
• Publication Date: 2020-05-01
• Subjects: Translating catenary -- Modes and frequencies -- Multiple scale method -- Finite difference method; Structural engineering -- Periodicals; Structural analysis (Engineering) -- Periodicals; Construction, Technique de la -- Périodiques; Génie parasismique -- Périodiques; Pression du vent -- Périodiques; Earthquake engineering; Structural engineering; Wind-pressure; Periodicals; 624.105
• DOI: 10.1016/j.engstruct.2020.110231
• Languages: English
• ISSNs: 0141-0296

Abstract

Abstract: The paper presents methodologies for tracing modal responses of a translating cable. Governing system equations are obtained based on perturbation of the response around the stationary position of the translating catenary. Then, after separation of spatio-temporal system variables, a multiple scale method is endowed for treatment of equations in space. Frequencies and mode shapes of the system are detected by imposing solvability conditions on the system equations and/or via expansion of system variables in the form of Fourier series accompanied by imposing the existence of non-trivial solutions. Finally, obtained results are confronted with those which are obtained by finite difference method.