Mathematical Problems in Engineering / 2011 / Article / Tab 5

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 5

Dimensionless frequencies for rotating beam with different inclination angle ( πœ‚ = 3 9 , 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 𝐾 5 𝐾 6 (a)

0000.900168.5590571.543251.57086 (a)2.963964.71413
.0101.4899900.909817.5602831.544521.57097 (a)2.965284.71415
.0205.9606000.938126.5639451.548301.57130 (a)2.969264.71421
0Β°.03013.413800.983359.5699961.554551.57190 (a)2.975864.71432
.04023.8528001.04313.5783591.563021.57296 (a)2.985094.71449
.05037.2822001.11488.5889351.571131.57704 (a)2.996914.71472
.06053.7078001.19620.6016041.57358 (a)1.589363.011294.71502

.005.371545.073310.412011.902582.5593631.543571.57089 (a)2.964294.71414
.0101.48623.2899771.62160.909786.5602801.544491.57100 (a)2.965284.71415
5Β°.0153.34417.6407073.55360.921661.5618051.545951.57126 (a)2.966934.71416
.0205.945591.111506.09535.938019.5639321.547841.57177 (a)2.969254.71416
.0259.290751.685479.11211.958617.5666541.550031.57268 (a)2.972224.71415
.03013.38002.3447312.4630.983170.5699621.552331.57416 (a)2.975854.71413

.002.054292.067510.379956.900509.5591021.543301.57087 (a)2.964014.71413
.004.217174.2696141.51631.901534.5592371.543411.57090 (a)2.964154.71413
30Β°.006.488657.6050413.39858.903243.5594611.543551.57103 (a)2.964404.71412
.008.8687631.071706.00953.905635.5597751.543621.57132 (a)2.964744.71409
.0101.357521.666739.32547.908710.5601771.543511.57191 (a)2.965184.71403

.002.019999.135091.760426.900208.5590761.543271.57087 (a)2.963984.71413
.004.080009.5403623.04080.900333.5591321.543241.57098 (a)2.964044.71412
90Β°.006.1800721.215796.83830.900554.5592241.542951.57140 (a)2.964154.71407
.008.3202532.1613212.1478.900889.5593491.542111.57246 (a)2.964314.71394
.010.5006313.3767818.9613.901363.5595061.540411.57447 (a)2.964514.71365