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. [" {- \' z0 a8 F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。8 g5 ~$ g+ _# [* t" V7 d# x: ?
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Title Vibration of a Rotating Cantilever Blade
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2 o+ T5 m& v2 I o @) d: j| Reference: | W. Carnegie, “Vibrations of Rotating Cantilever Blading”, Journal Mechanical Engineering Science, Vol. 1 No. 3, 1959, pg. 239 | | Analysis Type(s): | Static Analysis - E" a! o2 J6 F3 P
Mode-frequency Analysis1 i( b T8 a1 |2 o" j/ ^5 p
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6 C& U- h9 H1 f5 N6 C6 ]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 .
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" \' b' ]1 p; X6 a) r5 a9 T2 gFigure 54.1 Rotating Cantilever Blade4 \ F; g! F& E. N7 q3 t) c
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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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' B, x& f2 h* T0 tAnalysis Assumptions and Modeling NotesThe problem is solved in two different ways:. l, L% N' b7 T9 u( }; T
- Using Elastic Shell Elements (SHELL63)
- Using 3-D Solid Shell Elements (SOLSH190)
" Y4 K' l/ g) X$ G6 b) w$ gSpin (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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Results Comparison
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| Target | ANSYS | Ratio | | SHELL63 | | f, Hz | 52.75 | 52.01 | 0.986 | | SOLSH190 | | f, Hz | 52.75 | 51.80 | 0.982 | ) W; X0 m1 c+ Q5 i
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[ 本帖最后由 tigerdak 于 2007-11-9 15:25 编辑 ] |
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