NDLI: Non-Linear Dynamic Analysis of a Cable-Stayed Beam

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Carlos, E. N. Mazzilli Rojas, Franz Rena´n Villarroel
Copyright Year	2005
Abstract	The dynamic behaviour of a simple clamped beam suspended at the other end by an inclined cable stay is surveyed in this paper. The sag due to the cable weight, as well as the non-linear coupling between the cable and the beam motions are taken into account. The formulation for in-plane vibration follows closely that of Gattulli et al. [1] and confirms their findings for the overall features of the equations of motion and the system modal properties. A reduced non-linear mathematical model, with two degrees of freedom, is also developed, following again the steps of Gattulli and co-authors [2,3]. Hamilton’s Principle is evoked to allow for the projection of the displacement field of both the beam and the cable onto the space defined by the first two modes, namely a “global” mode (beam and cable) and a “local” mode (cable). The method of multiple scales is then applied to the analysis of the reduced equations of motion, when the system is subjected to the action of a harmonic loading. The steady-state solutions are characterised in the case of internal resonance between the local and the global modes, plus external resonance with respect to either one of the modes considered. A numerical application is presented, for which multiple-scale results are compared with those of numerical integration. A reasonable qualitative and quantitative agreement is seen to happen particularly in the case of external resonance with the higher mode. Discrepancies should obviously be expected due to strong non-linearities present in the reduced equations of motion. That is specially the case for external resonance with the lower mode.
Sponsorship	Design Engineering Division and Computers and Information in Engineering Division
Starting Page	1585
Ending Page	1594
Page Count	10
File Format	PDF
ISBN	0791847381
DOI	10.1115/DETC2005-84366
e-ISBN	0791837661
Volume Number	Volume 1: 20th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C
Conference Proceedings	ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Language	English
Publisher Date	2005-09-24
Publisher Place	Long Beach, California, USA
Access Restriction	Subscribed
Subject Keyword	Degrees of freedom Vibration Dynamic analysis Hamilton's principle Weight (mass) Resonance Equations of motion Steady state Displacement Cables
Content Type	Text
Resource Type	Article

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