Theoretical modeling and experimental validation of fluid-loaded micro rectangular plates

Zhangming Wu, Mike T. Wright, Xianghong Ma*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents a theoretical model on the vibration analysis of micro scale fluid-loaded rectangular isotropic plates, based on the Lamb's assumption of fluid-structure interaction and the Rayleigh-Ritz energy method. An analytical solution for this model is proposed, which can be applied to most cases of boundary conditions. The dynamical experimental data of a series of microfabricated silicon plates are obtained using a base-excitation dynamic testing facility. The natural frequencies and mode shapes in the experimental results are in good agreement with the theoretical simulations for the lower order modes. The presented theoretical and experimental investigations on the vibration characteristics of the micro scale plates are of particular interest in the design of microplate based biosensing devices.

Original languageEnglish
Title of host publicationASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
PublisherASME
Pages671-679
Number of pages9
Volume6
ISBN (Electronic)978-0-7918-3856-3
ISBN (Print)978-0-7918-4903-3
DOIs
Publication statusPublished - 2010
EventASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - San Diego, CA, United States
Duration: 30 Aug 20092 Sep 2009

Conference

ConferenceASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Abbreviated titleIDETC/CIE 2009
CountryUnited States
CitySan Diego, CA
Period30/08/092/09/09

Fingerprint

Rectangular Plate
Experimental Validation
Fluid
Fluids
Fluid structure interaction
Vibration analysis
Modeling
Rayleigh-Ritz Method
Biosensing
Natural frequencies
Mode Shape
Vibration Analysis
Energy Method
Boundary conditions
Natural Frequency
Experimental Investigation
Silicon
Theoretical Model
Analytical Solution
Testing

Cite this

Wu, Z., Wright, M. T., & Ma, X. (2010). Theoretical modeling and experimental validation of fluid-loaded micro rectangular plates. In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (Vol. 6, pp. 671-679). [DETC2009-87576] ASME. https://doi.org/10.1115/DETC2009-87576
Wu, Zhangming ; Wright, Mike T. ; Ma, Xianghong. / Theoretical modeling and experimental validation of fluid-loaded micro rectangular plates. ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Vol. 6 ASME, 2010. pp. 671-679
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Wu, Z, Wright, MT & Ma, X 2010, Theoretical modeling and experimental validation of fluid-loaded micro rectangular plates. in ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. vol. 6, DETC2009-87576, ASME, pp. 671-679, ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, San Diego, CA, United States, 30/08/09. https://doi.org/10.1115/DETC2009-87576

Theoretical modeling and experimental validation of fluid-loaded micro rectangular plates. / Wu, Zhangming; Wright, Mike T.; Ma, Xianghong.

ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Vol. 6 ASME, 2010. p. 671-679 DETC2009-87576.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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AB - This paper presents a theoretical model on the vibration analysis of micro scale fluid-loaded rectangular isotropic plates, based on the Lamb's assumption of fluid-structure interaction and the Rayleigh-Ritz energy method. An analytical solution for this model is proposed, which can be applied to most cases of boundary conditions. The dynamical experimental data of a series of microfabricated silicon plates are obtained using a base-excitation dynamic testing facility. The natural frequencies and mode shapes in the experimental results are in good agreement with the theoretical simulations for the lower order modes. The presented theoretical and experimental investigations on the vibration characteristics of the micro scale plates are of particular interest in the design of microplate based biosensing devices.

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Wu Z, Wright MT, Ma X. Theoretical modeling and experimental validation of fluid-loaded micro rectangular plates. In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Vol. 6. ASME. 2010. p. 671-679. DETC2009-87576 https://doi.org/10.1115/DETC2009-87576