TY - JOUR
T1 - Vibration analysis of submerged rectangular microplates with distributed mass loading
AU - Wu, Zhangming
AU - Ma, Xianghong
AU - Brett, Peter N.
AU - Xu, Jinwu
PY - 2009/4/8
Y1 - 2009/4/8
N2 - This paper investigates the vibration characteristics of the coupling system of a microscale fluid-loaded rectangular isotropic plate attached to a uniformly distributed mass. Previous literature has, respectively, studied the changes in the plate vibration induced by an acoustic field or by the attached mass loading. This paper investigates the issue of involving these two types of loading simultaneously. Based on Lamb's assumption of the fluid-loaded structure and the Rayleigh–Ritz energy method, this paper presents an analytical solution for the natural frequencies and mode shapes of the coupling system. Numerical results for microplates with different types of boundary conditions have also been obtained and compared with experimental and numerical results from previous literature. The theoretical model and novel analytical solution are of particular interest in the design of microplate-based biosensing devices.
AB - This paper investigates the vibration characteristics of the coupling system of a microscale fluid-loaded rectangular isotropic plate attached to a uniformly distributed mass. Previous literature has, respectively, studied the changes in the plate vibration induced by an acoustic field or by the attached mass loading. This paper investigates the issue of involving these two types of loading simultaneously. Based on Lamb's assumption of the fluid-loaded structure and the Rayleigh–Ritz energy method, this paper presents an analytical solution for the natural frequencies and mode shapes of the coupling system. Numerical results for microplates with different types of boundary conditions have also been obtained and compared with experimental and numerical results from previous literature. The theoretical model and novel analytical solution are of particular interest in the design of microplate-based biosensing devices.
KW - microplate dynamics
KW - fluid–structure interaction
KW - microplate-based biosensing system
UR - http://www.scopus.com/inward/record.url?scp=67149126590&partnerID=8YFLogxK
UR - http://rspa.royalsocietypublishing.org/content/465/2104/1323
U2 - 10.1098/rspa.2008.0447
DO - 10.1098/rspa.2008.0447
M3 - Article
VL - 465
SP - 1323
EP - 1336
JO - Proceeding of the Royal Society: Series B
JF - Proceeding of the Royal Society: Series B
SN - 0962-8452
IS - 2104
ER -