Dynamical systems analysis of electrostatic and aerodynamic forced vibrations of a thin flexible electrode

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dc.contributor.advisor Thomas Ward III
dc.contributor.author Madanu, Sushma
dc.contributor.department Aerospace Engineering
dc.date 2018-08-11T06:54:28.000
dc.date.accessioned 2020-06-30T03:00:17Z
dc.date.available 2020-06-30T03:00:17Z
dc.date.copyright Thu Jan 01 00:00:00 UTC 2015
dc.date.embargo 2001-01-01
dc.date.issued 2015-01-01
dc.description.abstract <p>Transverse vibrations of an electrostatically actuated thin flexible cantilever perturbed by low-speed air flow is studied using both experiments and numerical modeling. In the experiments the dynamic characteristics of the cantilever are studied by supplying a DC voltage with an AC component for electrostatic forcing and a constant uniform air flow around the cantilever system for aerodynamic forcing. The maximum voltage applied varies from 1 - 9 kV and air flow speeds range from 0.224 - 3.58 m/s (0.5 - 8 mile/hr). The Reynolds numbers for these speeds lie in the range of 1000 - 20000. A range of control parameters leading to stable vibrations are established using the Strouhal number as the operating parameter whose inverse values change from 100 - 2500. The Numerical results are validated with experimental results. Assuming the amplitude of vibrations are small, then a non-linear dynamic Euler-Bernoulli beam equation with viscous damping and gravitational effects is used to model the vibrations of the dynamical system. Aerodynamic forcing is modeled as a temporally sinusoidal and uniform force acting perpendicular to the beam length. The forcing amplitude is found to be proportional to square of air flow velocity by obtaining relationship between the experimental amplitude of vibrations and air flow velocity. Numerical results strongly agree with those of experiments predicting accurate vibration amplitudes, displacement frequency and quasi-periodic displacements of the cantilever tip.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/etd/14943/
dc.identifier.articleid 5950
dc.identifier.contextkey 8808424
dc.identifier.doi https://doi.org/10.31274/etd-180810-4549
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath etd/14943
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/29127
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/etd/14943/Madanu_iastate_0097M_15349.pdf|||Fri Jan 14 20:29:04 UTC 2022
dc.subject.disciplines Aerospace Engineering
dc.subject.keywords Engineering Mechanics
dc.subject.keywords aerodynamic forcing
dc.subject.keywords Dynamical systems
dc.subject.keywords electrostatic forcing
dc.subject.keywords Euler-Bernoulli beam theory
dc.subject.keywords thin flexible electrode
dc.title Dynamical systems analysis of electrostatic and aerodynamic forced vibrations of a thin flexible electrode
dc.type article
dc.type.genre thesis
dspace.entity.type Publication
relation.isOrgUnitOfPublication 047b23ca-7bd7-4194-b084-c4181d33d95d
thesis.degree.level thesis
thesis.degree.name Master of Science
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