Non-linear vibration of cable-damper systems Part I: Formulation

Z. Yu, You Lin Xu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

27 Citations (Scopus)


This paper presents a formulation for determining the non-linear dynamic response of sag cables equipped with discrete oil dampers and subject to harmonic loading. The state-space method is first employed to convert the second order non-linear partial differential equations of motion of the system to first order non-linear partial differential equations. Then, in terms of the complex modes of vibration and their orthogonality properties achieved by a hybrid method, the generalized modal superposition method is used to reduce the first order non-linear partial differential equations to first order non-linear ordinary differential equations with respect to time functions only. Finally, the harmonic balance method is applied to obtain the non-linear algebraic equations, from which the real solutions for the time functions and non-linear dynamic responses of the cable-damper system are found. The application and verification of the suggested approach are presented in Part II of this paper.
Original languageEnglish
Pages (from-to)447-463
Number of pages17
JournalJournal of Sound and Vibration
Issue number3
Publication statusPublished - 19 Aug 1999

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Acoustics and Ultrasonics
  • Mechanics of Materials
  • Mechanical Engineering


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