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 (
𝜂
=
5
0
,
𝑅
=
1
).
𝛼
𝑘
𝜀
𝑐
m
a
x
(
1
0
−
4
)
𝜀
𝑏
m
a
x
(
1
0
−
3
)
𝑣
t
i
p
/
𝐿
𝑇
(
1
0
−
3
)
𝐾
1
(
1
0
−
1
)
𝐾
2
𝐾
3
𝐾
4
(a )
𝐾
5
𝐾
6
0 0 0 0 .702550 .437859 1.21530 1.57086 2.35176 3.82646 .010 1.48998 0 0 .714917 .439441 1.21696 1.57096 2.35349 3.82822 .020 5.96058 0 0 .750712 .444154 1.22192 1.57125 2.35868 3.83349 0° .030 13.4137 0 0 .806600 .451898 1.23014 1.57173 2.36731 3.84227 .040 23.8527 0 0 .878442 .462516 1.24155 1.57241 2.37932 3.85452 .050 37.2820 0 0 .962316 .475813 1.25605 1.57328 2.39467 3.87021 .060 53.7076 0 0 1.05500 .491563 1.27352 1.57435 2.41329 3.88930 .005 .371544 .093761 .674835 .705653 .438254 1.21571 1.57089 2.35219 3.82689 .010 1.48623 .368279 2.62905 .714878 .439437 1.21695 1.57096 2.35349 3.82821 5° .015 3.34418 .804892 5.66932 .729982 .441402 1.21900 1.57111 2.35565 3.83040 .020 5.94560 1.37717 9.52433 .750592 .444136 1.22184 1.57134 2.35869 3.83347 .025 9.29074 2.05594 13.8991 .776240 .447626 1.22547 1.57166 2.36258 3.83740 .030 13.3799 2.81357 18.5209 .806412 .451854 1.22987 1.57208 2.36734 3.84221 .002 .054292 .086522 .624206 .702990 .437917 1.21536 1.57087 2.35182 3.82652 .004 .217177 .345191 2.48734 .704308 .438091 1.21554 1.57088 2.35202 3.82671 30° .006 .488671 .773349 5.56121 .706507 .438381 1.21583 1.57093 2.35234 3.82704 .008 .868803 1.36665 9.79986 .709585 .438785 1.21621 1.57103 2.35280 3.82749 .010 1.35760 2.11921 15.1409 .713543 .439301 1.21666 1.57120 2.35340 3.82806 .002 .019999 .173193 1.24980 .702604 .437883 1.21532 1.57087 2.35179 3.82648 .004 .080020 .692767 4.99671 .702772 .437956 1.21539 1.57090 2.35188 3.82657 90° .006 .180129 1.55866 11.2327 .703078 .438073 1.21545 1.57103 2.35204 3.82670 .008 .320419 2.77065 19.9428 .703561 .438232 1.21544 1.57135 2.35228 3.82688 .010 .500997 4.32814 31.1020 .704273 .438426 1.21527 1.57200 2.35265 3.82709
