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From the nonlinear experiments, linear parameters such as resonant frequency, damping ratio, and nonlinear parameters such as nonlinear frequency shift and nonlinear damping ratio were extracted. Finally, a regression analysis was carried out to determine the statistical relationships between different parameters, and the linear parameters were compared against results reported in the literature. The results suggest that the volume of the fluid has no dependence on the vibrational response, and a coupling between immersion depth, viscosity, and density was observed.<\/jats:p>","DOI":"10.1121\/10.0036770","type":"journal-article","created":{"date-parts":[[2025,5,27]],"date-time":"2025-05-27T11:56:43Z","timestamp":1748347003000},"page":"3922-3929","update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":2,"title":["Nonlinear resonant vibration of a partially immersed beam in viscous fluid"],"prefix":"10.1121","volume":"157","author":[{"given":"Sarthak","family":"Desai","sequence":"first","affiliation":[{"name":"Department of Electrical and Computer Engineering, Michigan State University , 428 South Shaw Lane, Room 2120 Engineering Building, East Lansing, Michigan 48824-1226,","place":["USA"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9019-9604","authenticated-orcid":false,"given":"Sunil Kishore","family":"Chakrapani","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering, Michigan State University , 428 South Shaw Lane, Room 2120 Engineering Building, East Lansing, Michigan 48824-1226,","place":["USA"]}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"231","published-online":{"date-parts":[[2025,5,27]]},"reference":[{"key":"2025052707563956300_c1","doi-asserted-by":"publisher","first-page":"1650","DOI":"10.1007\/s10765-006-0114-6","article-title":"A vibrating plate fabricated by the methods of microelectromechanical systems (MEMS) for the simultaneous measurement of density and viscosity: Results for argon at temperatures between 323 and 423k at pressures up to 68 MPa","volume":"27","year":"2006","journal-title":"Int. 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