Large-Amplitude Vibrations of a Slender Cantilevered Beam

Nicholas Vlajic, Fisher Ng, Timothy Fitzgerald

Research output: Contribution to journalConference articlepeer-review


We present a geometrically exact beam model for a cantilevered beam undergoing large-amplitude motions, motivated by recent wind-energy capture systems that exploit vortex-induced vibrations. The derivation of this model leads to a single nonlinear 2nd-order ordinary differential equation that appears similar to a Duffing oscillator with additional nonlinear acceleration terms. For prismatic configurations, the formulation is characterized by its linear natural frequency and a normalization constant of the shape-function. A brief parametric study is conducted to demonstrate the softening effects of the nonlinear acceleration terms. Continuation methods are used to construct the amplitude versus forcing frequency plots to capture the nonlinear response.

Original languageEnglish (US)
Pages (from-to)460-465
Number of pages6
Issue number27
StatePublished - Sep 1 2022
Event9th IFAC Symposium on Mechatronic Systems, MECHATRONICS 2022 - Los Angeles, United States
Duration: Sep 6 2022Sep 9 2022

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering


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