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% }! f) Z, M- I" a* _5 E$ K提示:如果分析得出第一阶频率接近72.059就可以了,因为CosmosWorks(2006)在频率分析时没有办法设置旋转刚度软化的影响,所以不会得到后面那个target值。
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. V6 f2 U/ ?! P0 ~+ VTitle Vibration of a Rotating Cantilever Blade: g. C e1 I" _; l. z) U7 [( `8 r
p) j1 R0 v z. d2 b5 m$ ^Overview; \/ H- g; [/ N, i0 j# X
4 n; T$ s' \- T* k& G( q| Reference: | W. Carnegie, “Vibrations of Rotating Cantilever Blading”, Journal Mechanical Engineering Science, Vol. 1 No. 3, 1959, pg. 239 | | Analysis Type(s): | Static Analysis
- S# _3 W; |- H/ h4 R1 }2 LMode-frequency Analysis. Z" ? O5 @5 d% m4 Q
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Test Case
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A blade is cantilevered from a rigid rotating cylinder. Determine the fundamental frequency of vibration of the blade, f, when the cylinder is spinning at a rate of Ω .& x6 E+ R' v( f: R+ _
0 N4 G+ B# A4 I" O5 f5 \, K6 xFigure 54.1 Rotating Cantilever Blade
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6 k: c* A$ P+ o| Material Properties | | E = 217 E9 Pa | | ρ = 7850 kg/m3 | | υ = 0.3 |
| | Geometric Properties | | r = 150 mm | | l= 328 mm | | b = 28 mm | | t = 3mm |
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: E; z# R, k1 }. J1 B' UAnalysis Assumptions and Modeling NotesThe problem is solved in two different ways:
3 f* M7 F( L6 j5 X! ]8 j3 q9 X- Using Elastic Shell Elements (SHELL63)
- Using 3-D Solid Shell Elements (SOLSH190)
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Spin (centrifugal) softening is used. Since the cylinder is rigid, the base of the blade has its displacements constrained. A static prestress analysis is performed to include the inertial effects resulting from the rotation of the cylinder.7 o& K/ T- b, ?
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Results Comparison
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: P6 e2 y4 T4 B7 n- ? | Target | ANSYS | Ratio | | SHELL63 | | f, Hz | 52.75 | 52.01 | 0.986 | | SOLSH190 | | f, Hz | 52.75 | 51.80 | 0.982 | . H( E( t" i: v, K( Y) H5 ^0 R O
$ Z8 F. r: K; q- r" @: ^$ n6 R[ 本帖最后由 tigerdak 于 2007-11-9 15:25 编辑 ] |
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