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[分享] CosmosWorks算法验证文件 3 (Static Analysis and Mode-frequency Analysis)

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发表于 2007-11-6 09:48:42 | 显示全部楼层 |阅读模式 来自: 中国上海

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这是我从ANSYS的算法验证文件转换过来的,同样适用于CosmosWorks。在计算实际的工程问题以前应该先计算一个类似的验证文件,比较计算结果以验证自己算法的正确性。也可以作为有限元例题使用。
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; W9 t! v+ o  j3 A% W. cTitle     Vibration of a String Under Tension
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Reference:W. T. Thomson, Vibration Theory and Applications, 2nd Printing, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1965, pg. 264, article 8.2.
Analysis Type(s):
Static Analysis
Mode-frequency Analysis
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Test Case, i7 j; w9 A; G- E0 c+ v- X0 \
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A flexible string with mass per unit length ρA is fixed at the ends and stretched to an initial strain εo. Determine the stress σ and force F in the string under these conditions. Determine the first three natural frequencies fi of lateral vibration of the stretched string.
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% _6 @) K6 F' KFigure 53.1  String Under Tension Problem Sketch- e# h: j& d, U* O7 g2 G/ J% n

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Material Properties
E = 30 E6 psi
ρ = 0.00073 lb-sec2/in4
Geometric Properties
l = 100 in
A = 0.00306796 in2
Loading
εo = 0.00543228
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7 |* `/ a5 e7 {/ KAnalysis Assumptions and Modeling NotesEnough elements are selected so that the same model can be used to adequately characterize the dynamic analysis. Prestress effects are turned on during the static and modal solutions.
$ u; b+ _& k+ F% C5 v' C& cThe subspace method for eigenvalue extraction is chosen solely for the sake of completeness in this manual. Other methods would also be suitable. Only the first three modes are requested.
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Results Comparison
TargetANSYSRatio
StaticF, lb500.500.1.000
Stress, psi162,974.162,970.1.000
Modalf1 , Hz74.70875.0941.005
f2 , Hz149.42151.291.012
f3 , Hz224.12229.681.025

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, A7 @4 o- R  {5 g% [6 D5 `) n[ 本帖最后由 tigerdak 于 2007-11-9 15:29 编辑 ]
发表于 2007-11-6 14:31:07 | 显示全部楼层 来自: 马来西亚
兄弟,这些哪里都有的资料就别浪费论坛的空间吧。! d5 u. i2 a6 c$ @4 C

$ k: r0 M$ n2 h而却分了如此多个主题,应该一次就好了吧。:L : @' o. W/ ?6 z3 X' j4 g
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真的是。。。。。哎。。。。。:L ; n7 H' Z* P# Y* o1 j8 H
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