Study of resonant frequencies of the first and third order shear deformation beam theories immersed in fluids

• Main Authors: Muh-Jang Chen, 陳
• Other Authors: Jeng-Shian Chang
• Format: Others
• Language: zh-TW
• Published: 2015
• Online Access: http://ndltd.ncl.edu.tw/handle/68484162624628209113

碩士 === 國立臺灣大學 === 應用力學研究所 === 103 === This thesis studies the resonant frequencies of cantilevered and fixed-fixed (bridge) beams immersed in fluids using 1st order and 3rd order shear-deformable beam theories. First, the classic model is developed under Euler-Bernoulli beam theory (EBT) and the hydrodynamic function presented by Sader. Second, the Timoshenko beam theory (TBT) which is a first order shear deformation beam theory and the Reddy beam theory (RBT) which is a third order one are applied to develop new models for biosensors. To obtain the resonant frequencies, boundary conditions of cantilever and bridge beams are both presented. Third, the theoretical prediction developed in this thesis is compared with the experimental data in the literature. Forth, this work is devoted to investigating the effects of aspect ratio and material coefficient ratio on the differences of resonant frequencies obtained from different models. Finally, to investigate the influences in fluids with different viscosities, water and glycerin are considered.