The role of topology on the response of a V-shaped resonator

The objective of this manuscript is to elucidate the role of topology on the nonlinear response of resonators. The resonators are composed of two beams and designed to exhibit two-to-one internal resonances. The manuscript explores the sensitivity to variations in the topological parameters, i.e., t...

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Bibliographic Details
Published inNonlinear dynamics Vol. 101; no. 4; pp. 2027 - 2053
Main Authors Danzi, Francesco, Tao, Hongcheng, Gibert, James M.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.09.2020
Subjects
Automotive Engineering
Classical Mechanics
Control
Dynamical Systems
Engineering
Mechanical Engineering
Original Paper
Vibration
Resonator
Nonlinear dynamics
Topological parameters
2:1 internal resonance
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Summary:The objective of this manuscript is to elucidate the role of topology on the nonlinear response of resonators. The resonators are composed of two beams and designed to exhibit two-to-one internal resonances. The manuscript explores the sensitivity to variations in the topological parameters, i.e., the relative orientation, and the ratio of lengths and heights, on the modal frequencies of the structure. The nonlinear governing equations are solved using the method of multiple scales when the system is excited near the first and second resonances. The occurrence of bifurcations and modal interactions has been shown both numerically and experimentally and related to the topological parameters. The effect of the topology on modal saturation has also been studied.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-020-05789-y