Mathematical Problems in Engineering / 2011 / Article / Tab 2 / 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 2 Comparison of results for different cases (
𝜂
=
2
0
,
𝑅
=
1
.
5
).
𝛼
𝑘
𝜀
𝑐
m
a
x
(
1
0
−
3
)
𝜀
𝑏
m
a
x
(
1
0
−
3
)
𝑣
t
i
p
/
𝐿
𝑇
(
1
0
−
3
)
𝐾
1
𝐾
2
𝐾
3
(
𝑎
)
𝐾
4
𝐾
5
(
𝑎
)
𝐾
6
𝐾
7
(
𝑎
)
EA10 0 0 0 .174788 1.05957 1.57241 2.82495 4.75610 5.19546 8.00214 EA50 0 0 0 .174787 1.05953 1.57086 2.82431 4.71413 5.19120 7.86206 0 EA100 0 0 0 .174787 1.05953 1.57081 2.82431 4.71283 5.19119 7.85600 [24 ] 0 0 0 .17479 1.05953 1.57080 2.82431 4.71239 5.19119 — 0° [34 ] 0 0 0 .17580 1.10172 1.57080 3.08486 4.71239 6.04510 — EA10 6.93309 0 0 .198616 1.08756 1.57615 2.85333 4.75729 5.22384 8.02928 EA50 7.15492 0 0 .198514 1.08726 1.57616 2.85243 4.71534 5.21931 7.86274 0.06 EA100 7.18210 0 0 .198511 1.08726 1.57457 2.85242 4.71403 5.21930 7.85669 [24 ] 7.20000 0 0 .19862 1.08760 1.57455 2.85276 4.71360 5.21962 — LAS 7.20000 0 0 — — — — — — — EA10 1.72680 1.93098 5.47630 .181049 1.06661 1.57335 2.83206 4.75639 5.20256 8.00889 5° 0.03 EA50 1.78195 1.93546 5.47699 .181021 1.06651 1.57180 2.83136 4.71443 5.19823 7.86221 EA100 1.78870 1.93560 5.47701 .181020 1.06651 1.57175 2.83136 4.71312 5.19822 7.85616 LAS 1.79486 2.03794 5.88301 — — — — — — — EA10 .173298 1.29008 3.72294 .175410 1.06028 1.57252 2.82567 4.75613 5.19619 8.00281 30° 0.01 EA50 .178615 1.29224 3.72299 .175407 1.06024 1.57097 2.82503 4.71416 5.19191 7.86207 EA100 .179264 1.29231 3.72300 .175407 1.06024 1.57092 2.82503 4.71285 5.19190 7.85601 LAS .179904 1.29904 3.75000 — — — — — — — EA10 .0500345 2.59364 7.49504 .174836 1.05978 1.57253 2.82520 4.75612 5.19573 8.00229 90° 0.01 EA50 .0500384 2.59784 7.49506 .174835 1.05974 1.57098 2.82456 4.71415 5.19145 7.86205 EA100 .0500216 2.59797 7.49507 .174835 1.05974 1.57093 2.82456 4.71284 5.19144 7.85599 LAS .0500000 2.59807 7.50000 — — — — — — —
