Mode shapes and sensitivity analysis of torsional vibrations in overhang- and T-shaped microcantilevers

Mode shapes and sensitivity analysis of torsional vibrations in overhang- and T-shaped microcantilevers | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Mode shapes and sensitivity analysis of torsional vibrations in overhang- and T-shaped microcantilevers Le Tri Dat, Vinh N.T. Pham, Nguyen Duy Vy, Amir F. Payam This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5292756/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract The torsional mode of atomic force microscope (AFM) cantilevers has been extensively employed in a range of sensitive measurements. However, the use of approximate frequencies and mode shapes for overhang-shaped cantilevers often leads to discrepancies between theoretical predictions and experimental results. In this study, we performed detailed calculations of the frequency and mode shapes for width-varying cantilevers, enabling the determination of any higher-order mode. Modal sensitivities were then calculated based on the obtained mode shapes. We observed clear changes in mode shapes and frequencies, with mode shapes exhibiting multiple maxima as the overhang length increased. Notably, effective tuning of the frequency was demonstrated by adjusting the overhang length. The relationship between modal sensitivity and the coupling strength between the cantilever and a surface was elucidated, showing consistency with results from other groups. This work provides valuable guidance for experimentalists in selecting optimal geometric parameters for cantilevers to target specific frequencies. Microcantilever torsional vibration modal sensitivity T-shaped Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-5292756","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":367910133,"identity":"f416eb60-e5a4-44e7-a9f4-df0ef28ce14a","order_by":0,"name":"Le Tri Dat","email":"","orcid":"","institution":"Dong Nai Technology University","correspondingAuthor":false,"prefix":"","firstName":"Le","middleName":"Tri","lastName":"Dat","suffix":""},{"id":367910134,"identity":"07a573cc-584e-4920-913e-4e153c347b74","order_by":1,"name":"Vinh N.T. 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