Mathematical Problems in Engineering / 2011 / Article / Tab 8

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 8

Dimensionless frequencies for rotating beam with different inclination angle ( πœ‚ = 1 0 0 0 , 𝑅 = 1 ).

𝛼 π‘˜ πœ€ 𝑐 m a x ( 1 0 βˆ’ 5 ) πœ€ 𝑏 m a x ( 1 0 βˆ’ 3 ) 𝑣 t i p / 𝐿 𝑇 ( 1 0 βˆ’ 2 ) 𝐾 1 ( 1 0 βˆ’ 2 ) 𝐾 2 ( 1 0 βˆ’ 1 ) 𝐾 3 ( 1 0 βˆ’ 1 ) 𝐾 4 𝐾 5 𝐾 6

0.00000000.351601.220341.616949.120893.199838.298509
.01014.8998001.32581.432338.886010.151855.233376.333736
.02059.6058002.52842.7661721.38410.216189.309541.419056
0Β°.030134.137003.736481.114021.92511.289167.400408.525942
.040238.527004.944951.465972.47903.364653.496007.640880
.050372.820006.152671.819833.03912.441165.593428.759068
.060537.076007.359072.174823.60301.518237.691707.878747

.0053.71469.7651475.97092.741097.289190.695401.129392.208701.307598
.01014.86001.675687.339381.32573.432307.885745.151766.233190.333432
5Β°.01533.44312.579667.791731.92549.5959111.12500.182037.268266.371976
.02059.47133.469778.020502.52834.7661601.38402.216153.309441.418839
.02592.95134.341898.159573.13220.9393071.65211.252155.353965.470793
.030133.8895.193168.253603.736411.114011.92507.289150.400356.525817

.002.5424101.3144916.2578.436039.231506.625674.121676.200527.299138
30Β°.0042.157093.4549931.0603.628044.264068.655502.124160.202509.300711
.0064.842035.6188137.4726.851755.312455.712896.129772.207598.305211
.0088.612687.7850240.65361.08530.369468.788930.138176.215896.313013

.0005.012524.2164073.11010.352489.220632.617142.120911.199852.298522
.0010.050204.86079412.1582.357434.221288.616084.120749.199640.298279
.0015.1120681.8952825.7173.371925.221920.610342.119952.198654.297181
90Β°.0020.1941233.2165340.7205.400095.222722.599365.118425.196788.295121
.0025.2907754.6887954.0272.440751.224723.587411.116669.194633.292734
.0030.3983556.2130164.2905.489485.228876.578807.115177.192740.290595
.0035.5160567.7438571.7152.542488.235452.575106.114128.191302.288900