Effect of viscous loss on mechanical resonators designed for mass detection

@article{citeulike:1074603, abstract = {Simple models are presented for estimating viscous damping of fluid (gas or liquid) loaded mechanical resonators. The models apply to beams in flexural modes of vibration, and to thin beams and plates in longitudinal modes of vibration. Predictions of the associated quality factor are compared with measured values for several macroscale and microscale resonators. The scaling of viscous loss with oscillator size is discussed. The minimum detectable mass is estimated for several oscillator designs and it is shown that, for comparably sized devices, longitudinal resonators have the lowest threshold of detection. This minimum detectable mass is proportional to scale to the power 1.75 for all resonator architectures limited by viscous damping, and it is shown that the viscous loss is 220 times larger in water than in air. \©2006 American Institute of Physics}, author = {Vignola, Joseph F. and Judge, John A. and Jarzynski, Jacek and Zalalutdinov, Maxim and Houston, Brian H. and Baldwin, Jeffrey W. }, citeulike-article-id = {1074603}, doi = {10.1063/1.2165186}, journal = {Applied Physics Letters}, keywords = {detection, mass, oscillator, resonator, viscosity}, number = {4}, posted-at = {2007-07-23 00:20:43}, priority = {2}, publisher = {AIP}, title = {Effect of viscous loss on mechanical resonators designed for mass detection}, url = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal\&id=APPLAB000088000004041921000001\&idtype=cvips\&gifs=yes}, volume = {88}, year = {2006} }

TY - JOUR ID - citeulike:1074603 L3 - citeulike-article-id:1074603 TI - Effect of viscous loss on mechanical resonators designed for mass detection JF - Applied Physics Letters VL - 88 IS - 4 PB - AIP N2 - Simple models are presented for estimating viscous damping of fluid (gas or liquid) loaded mechanical resonators. The models apply to beams in flexural modes of vibration, and to thin beams and plates in longitudinal modes of vibration. Predictions of the associated quality factor are compared with measured values for several macroscale and microscale resonators. The scaling of viscous loss with oscillator size is discussed. The minimum detectable mass is estimated for several oscillator designs and it is shown that, for comparably sized devices, longitudinal resonators have the lowest threshold of detection. This minimum detectable mass is proportional to scale to the power 1.75 for all resonator architectures limited by viscous damping, and it is shown that the viscous loss is 220 times larger in water than in air. ©2006 American Institute of Physics KW - detection KW - mass KW - oscillator KW - resonator KW - viscosity AU - Vignola, Joseph AU - Judge, John AU - Jarzynski, Jacek AU - Zalalutdinov, Maxim AU - Houston, Brian AU - Baldwin, Jeffrey PY - 2006/// UR - http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=APPLAB000088000004041921000001&idtype=cvips&gifs=yes ER -