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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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Title Vibration of a Rotating Cantilever Blade
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Overview
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( o: x, n2 s) }1 k, ]% p) D& g| Reference: | W. Carnegie, “Vibrations of Rotating Cantilever Blading”, Journal Mechanical Engineering Science, Vol. 1 No. 3, 1959, pg. 239 | | Analysis Type(s): | Static Analysis
1 w% Q% R" X8 C& V! LMode-frequency Analysis
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Test Case3 g/ h$ W1 W. J- ~5 @$ S" v
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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 .) g4 [9 }: K! C9 ~; I, v0 ^
0 p7 g- ]- Q5 o) eFigure 54.1 Rotating Cantilever Blade
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2 y) |, K1 M$ q; B' X8 O% L3 X| 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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Analysis Assumptions and Modeling NotesThe problem is solved in two different ways:
, D" g, x1 k6 I( e. _6 S- Using Elastic Shell Elements (SHELL63)
- Using 3-D Solid Shell Elements (SOLSH190)
2 c) E1 b M' LSpin (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.
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9 U$ j4 z! [8 h, XResults Comparison3 l6 U8 O5 l) L2 q# S
8 M g0 E* d4 A( H( a0 b | Target | ANSYS | Ratio | | SHELL63 | | f, Hz | 52.75 | 52.01 | 0.986 | | SOLSH190 | | f, Hz | 52.75 | 51.80 | 0.982 | * M/ Z/ ~6 B& ] L
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[ 本帖最后由 tigerdak 于 2007-11-9 15:25 编辑 ] |
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