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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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Overview2 k7 m1 [ Z4 E1 L+ s! }
! s8 c+ z" O& t6 z: f. P| Reference: | W. Carnegie, “Vibrations of Rotating Cantilever Blading”, Journal Mechanical Engineering Science, Vol. 1 No. 3, 1959, pg. 239 | | Analysis Type(s): | Static Analysis
% r) R0 W, F) u2 _4 p7 RMode-frequency Analysis) O/ R$ P% e O- G# a# l
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) y8 y4 l) _5 i: n. [Test Case
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" D" ]% P# t) A. B; y3 K- CA 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 ./ u I3 B/ W& x. ^9 ^
$ c8 p6 R+ ^( f3 a+ wFigure 54.1 Rotating Cantilever Blade
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) ]+ Y# b$ U9 H3 W" j| 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:# A; ]( X# y8 y
- 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.
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! C ~/ P8 k6 w2 K3 gResults Comparison% b- H0 P: V! E5 ]2 b2 G
9 Z' |8 ? |0 G | Target | ANSYS | Ratio | | SHELL63 | | f, Hz | 52.75 | 52.01 | 0.986 | | SOLSH190 | | f, Hz | 52.75 | 51.80 | 0.982 | 6 u: r% ^) [8 d3 n( A; z
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[ 本帖最后由 tigerdak 于 2007-11-9 15:25 编辑 ] |
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