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Nonlinear vibration of transversely-loaded spinning membranes

Delapierre, Mélanie and Lohaus, Stefan Haegeli and Pellegrino, Sergio (2018) Nonlinear vibration of transversely-loaded spinning membranes. Journal of Sound and Vibration , 427 . pp. 41-62. ISSN 0022-460X. http://resolver.caltech.edu/CaltechAUTHORS:20180502-090136585

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Abstract

The paper studies the transverse nonlinear vibration of an isotropic and homogeneous annular membrane spinning at constant angular velocity, under the action of a uniform transverse load. The equilibrium configuration of the membrane, clamped along the inner edge and free along the outer edge, and the natural frequencies of vibration of the membrane are calculated. A Galerkin procedure is used to determine a reduced order model describing the weakly nonlinear vibration of the membrane, and it is shown that near-resonance vibration can be modeled as a single degree of freedom Helmholtz-Duffing oscillator. A detailed study at vibration frequencies close to the fundamental, axisymmetric vibration mode shows a transition from softening to hardening behavior, and jump phenomena or hysteretic behavior depending on the angular velocity, the transverse load, the amplitude of dynamic excitation and the damping ratio. The results are in agreement with dynamic implicit finite element simulations in Abaqus/Standard and direct experimental measurements.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/j.jsv.2018.04.015DOIArticle
ORCID:
AuthorORCID
Pellegrino, Sergio0000-0001-9373-3278
Additional Information:© 2018 Elsevier Ltd. Received 21 October 2017, Revised 22 March 2018, Accepted 10 April 2018, Available online 2 May 2018.
Group:GALCIT
Subject Keywords:Nonlinear vibration; von Kármán plate theory; Centrifugal force; Heavy spinning disk
Record Number:CaltechAUTHORS:20180502-090136585
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180502-090136585
Official Citation:Mélanie Delapierre, Stefan Haegeli Lohaus, Sergio Pellegrino, Nonlinear vibration of transversely-loaded spinning membranes, Journal of Sound and Vibration, Volume 427, 4 August 2018, Pages 41-62, ISSN 0022-460X, https://doi.org/10.1016/j.jsv.2018.04.015. (https://www.sciencedirect.com/science/article/pii/S0022460X18302414)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:86188
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:03 May 2018 21:18
Last Modified:03 May 2018 21:18

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