Mathematical Problems in Engineering / 2011 / Article / Tab 7

Research Article

A Corotational Finite Element Method Combined with Floating Frame Method for Large Steady-State Deformation and Free Vibration Analysis of a Rotating-Inclined Beam

Table 7

Dimensionless frequencies for rotating beam with different inclination angle ( πœ‚ = 1 0 0 , 𝑅 = 1 ).

𝛼 π‘˜ πœ€ 𝑐 m a x ( 1 0 βˆ’ 4 ) πœ€ 𝑏 m a x ( 1 0 βˆ’ 3 ) 𝑣 t i p / 𝐿 𝑇 ( 1 0 βˆ’ 3 ) 𝐾 1 ( 1 0 βˆ’ 1 ) 𝐾 2 𝐾 3 𝐾 4 (a) 𝐾 5 𝐾 6

0.00000000.351520.219989.6146021.200471.570861.97619
.0101.4899800.375696.223163.6179631.204021.570961.97983
.0205.9605800.439855.232418.6279261.214581.571241.99072
0Β°.03013.413700.528670.247050.6441401.231941.571722.00872
.04023.852700.630838.266138.6660821.255781.572402.03361
.05037.282000.740095.288755.6931271.285681.573272.06512
.06053.707600.853195.314093.7246141.321161.574332.10288

.005.371547.1841392.62891.357708.220785.6154411.201361.570891.97710
.0101.48624.6885859.52242.375636.223154.6179401.203971.571051.97985
5Β°.0153.344161.4067918.5127.403666.227045.6220621.208261.571401.98446
.0205.945402.2383827.6550.439745.232381.6277731.214191.571951.99093
.0259.290103.1197035.8627.481914.239066.6350401.221761.572611.99922
.03013.37864.0196042.7784.528564.246988.6438161.230961.573292.00929

.002.054294.1725962.48732.352403.220106.6147251.200601.570871.97632
.004.217197.6833269.79956.355052.220456.6150811.200961.570971.97675
30Β°.006.4887561.5118821.5060.359467.221033.6156361.201451.571361.97753
.008.8690032.6271336.9471.365637.221832.6163441.201971.572271.97873
.0101.357903.9906555.3127.373528.222846.6171631.202411.573951.98043

.002.020005.3463834.99669.351634.220038.6146511.200521.570891.97625
.004.0801031.3853219.9425.352038.220178.6147481.200531.571271.97654
90Β°.006.1804783.1149744.6708.352915.220392.6147361.200141.572881.97728
.008.3212265.5283178.7975.354553.220651.6143731.198781.577041.97891
.010.5020648.60794121.586.357326.220924.6133681.195811.585231.98201