Mathematical Problems in Engineering / 2011 / Article / Tab 4

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 4

Dimensionless frequencies for rotating beam with different inclination angle ( 𝜂 = 7 0 , 𝑅 = 1 , 𝑘 = 5 / 7 0 ).

𝛼 𝜀 𝑐 m a x ( 1 0 3 ) 𝜀 𝑏 m a x 𝑣 t i p / 𝐿 𝑇 𝐾 1 𝐾 2
EAEBEAEAEAEB[21]EAEB[21]

7.615827.6157900.105565.105427.105.411754.410792.418
10°7.532757.53893.021843.119537.105513.104869.105.411356.410001.417
20°7.285567.31066.043509.236923.105359.103195.103.410160.407642.414
30°6.880326.93792.064820.350059.105101.100399.100.408162.403758.410
40°6.327006.43205.085602.456935.104737.0964721.096.405357.398421.405
50°5.639275.80840.105681.555686.104264.0913941.091.401742.391733.398
60°4.834255.08596.124890.644628.103679.0851262.085.397314.383830.390
70°3.932144.28663.143064.722301.102976.0775919.077.392079.374876.381
80°2.955753.43472.160043.787503.102151.0686418.068.386048.365073.371
90°1.930102.55611.175673.839324.101193.0579597.057.379245.354659.361