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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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: J4 J+ Z' g3 ~) ~Title Vibration of a Rotating Cantilever Blade
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Overview
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| Reference: | W. Carnegie, “Vibrations of Rotating Cantilever Blading”, Journal Mechanical Engineering Science, Vol. 1 No. 3, 1959, pg. 239 | | Analysis Type(s): | Static Analysis
- m V. n/ e& T: [; ^: lMode-frequency Analysis
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! p! d4 h8 A% R) C0 @Test Case" Q5 G: V7 D5 K" R
& J4 }2 w j( R! a4 @& K. NA 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 .4 f% ^) q4 L! G+ m. t$ t' d
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Figure 54.1 Rotating Cantilever Blade
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| 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:
2 ^* l! P: D2 m4 n- 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.: D& B9 u: q( @, @" x' c) y
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Results Comparison# n( a& t0 M8 j6 e4 E3 L0 }
! A# n- O P% w8 \( U) J4 r | Target | ANSYS | Ratio | | SHELL63 | | f, Hz | 52.75 | 52.01 | 0.986 | | SOLSH190 | | f, Hz | 52.75 | 51.80 | 0.982 | 3 X$ Q8 f3 F- s# t/ X8 x6 ]
! N0 X$ ^0 ?2 w1 Z2 Y[ 本帖最后由 tigerdak 于 2007-11-9 15:25 编辑 ] |
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