Mathematical Problems in Engineering / 2011 / Article / Tab 6

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 6

Dimensionless frequencies for rotating beam with different inclination angle ( πœ‚ = 5 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

0000.702550.4378591.215301.570862.351763.82646
.0101.4899800.714917.4394411.216961.570962.353493.82822
.0205.9605800.750712.4441541.221921.571252.358683.83349
0Β°.03013.413700.806600.4518981.230141.571732.367313.84227
.04023.852700.878442.4625161.241551.572412.379323.85452
.05037.282000.962316.4758131.256051.573282.394673.87021
.06053.7076001.05500.4915631.273521.574352.413293.88930

.005.371544.093761.674835.705653.4382541.215711.570892.352193.82689
.0101.48623.3682792.62905.714878.4394371.216951.570962.353493.82821
5Β°.0153.34418.8048925.66932.729982.4414021.219001.571112.355653.83040
.0205.945601.377179.52433.750592.4441361.221841.571342.358693.83347
.0259.290742.0559413.8991.776240.4476261.225471.571662.362583.83740
.03013.37992.8135718.5209.806412.4518541.229871.572082.367343.84221

.002.054292.086522.624206.702990.4379171.215361.570872.351823.82652
.004.217177.3451912.48734.704308.4380911.215541.570882.352023.82671
30Β°.006.488671.7733495.56121.706507.4383811.215831.570932.352343.82704
.008.8688031.366659.79986.709585.4387851.216211.571032.352803.82749
.0101.357602.1192115.1409.713543.4393011.216661.571202.353403.82806

.002.019999.1731931.24980.702604.4378831.215321.570872.351793.82648
.004.080020.6927674.99671.702772.4379561.215391.570902.351883.82657
90Β°.006.1801291.5586611.2327.703078.4380731.215451.571032.352043.82670
.008.3204192.7706519.9428.703561.4382321.215441.571352.352283.82688
.010.5009974.3281431.1020.704273.4384261.215271.572002.352653.82709