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Calibrating torsional eigenmodes of micro-cantilevers for dynamic measurement of frictional forces
KTH, School of Engineering Sciences (SCI), Applied Physics, Nanostructure Physics.ORCID iD: 0000-0002-4331-6940
KTH, School of Engineering Sciences (SCI), Applied Physics, Nanostructure Physics.ORCID iD: 0000-0001-8199-5510
KTH, School of Engineering Sciences (SCI), Applied Physics, Nanostructure Physics.ORCID iD: 0000-0003-0675-974X
KTH, School of Engineering Sciences (SCI), Applied Physics, Nanostructure Physics.ORCID iD: 0000-0001-8534-6577
2018 (English)In: Review of Scientific Instruments, ISSN 0034-6748, E-ISSN 1089-7623, Vol. 89, no 7, article id 075004Article in journal (Refereed) Published
Abstract [en]

Non-invasive thermal noise calibration of both torsional and flexural eigenmodes is performed on numerous cantilevers of 10 different types. We show that for all tipless and short-tipped cantilevers, the ratio of torsional to flexural mode stiffness is given by the ratio of their resonant frequency times a constant, unique to that cantilever type. By determining this constant, we enable a calibration of the torsional eigenmode, starting from a calibration of the flexural eigenmode. Our results are well motivated from beam theory, and we verify them with finite element simulation.

Place, publisher, year, edition, pages
American Institute of Physics (AIP), 2018. Vol. 89, no 7, article id 075004
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URN: urn:nbn:se:kth:diva-233428DOI: 10.1063/1.5038967ISI: 000440590200047PubMedID: 30068127Scopus ID: 2-s2.0-85050737578OAI: oai:DiVA.org:kth-233428DiVA, id: diva2:1240315
Funder
Swedish Research CouncilKnut and Alice Wallenberg Foundation
Note

QC 20180821

Available from: 2018-08-21 Created: 2018-08-21 Last updated: 2018-08-21Bibliographically approved

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Thorén, Per-AndersBorgani, RiccardoForchheimer, DanielHaviland, David B.

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