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
EA EB EA EA EA EB [21 ] EA EB [21 ] 0° 7.61582 7.61579 0 0 .105565 .105427 .105 .411754 .410792 .418 10° 7.53275 7.53893 .021843 .119537 .105513 .104869 .105 .411356 .410001 .417 20° 7.28556 7.31066 .043509 .236923 .105359 .103195 .103 .410160 .407642 .414 30° 6.88032 6.93792 .064820 .350059 .105101 .100399 .100 .408162 .403758 .410 40° 6.32700 6.43205 .085602 .456935 .104737 .0964721 .096 .405357 .398421 .405 50° 5.63927 5.80840 .105681 .555686 .104264 .0913941 .091 .401742 .391733 .398 60° 4.83425 5.08596 .124890 .644628 .103679 .0851262 .085 .397314 .383830 .390 70° 3.93214 4.28663 .143064 .722301 .102976 .0775919 .077 .392079 .374876 .381 80° 2.95575 3.43472 .160043 .787503 .102151 .0686418 .068 .386048 .365073 .371 90° 1.93010 2.55611 .175673 .839324 .101193 .0579597 .057 .379245 .354659 .361