Numerical Analysis of Oscillation Death in Coupled Self-Excited Elastic Beams | Zendy

Miguel A. Barrón | Zendy; I. Hilerio | Zendy; Gabriel Plascencia | Zendy

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Numerical Analysis of Oscillation Death in Coupled Self-Excited Elastic Beams

Author(s) -

Miguel A. Barrón,

I. Hilerio,

Gabriel Plascencia

Publication year - 2012

Publication title -

advances in mechanical engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.318

H-Index - 40

eISSN - 1687-8140

pISSN - 1687-8132

DOI - 10.1155/2012/746537

Subject(s) - oscillation (cell signaling) , beam (structure) , physics , singularity , excited state , vibration , classical mechanics , mechanics , boundary value problem , coupling (piping) , work (physics) , constant (computer programming) , mathematical analysis , mathematics , quantum mechanics , optics , materials science , genetics , computer science , metallurgy , biology , programming language

The emergence of the oscillation death phenomenon in a ring of four coupled self-excited elastic beams is numerically explored in this work. The beams are mathematically represented through partial differential equations which are solved by means of the finite differences method. A coupling scheme based on shared boundary conditions at the roots of the beams is assumed, and as initial conditions, zero velocity of the first beam and three normal vibration modes of a linear elastic beam are employed. The influence of the self-exciting constant on the ring dynamics is analyzed. It is observed that oscillation death arises as result of the singularity of the coupling matrix

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