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Elements
OS-V: 0710 Curved Cantilever Beam
MacNeal-Harder Test This is a curved cantilever beam solved with solid and shell elements. A model is made with each element's type to investigate the effect of distorted elements with a high aspect ratio.

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本マニュアルでは、NAFEMSの問題を含めた検証モデルの解を紹介しています。
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  本マニュアルでは、NAFEMSの問題を含めた検証モデルの解を紹介しています。
- NAFEMS Linear Elastic
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- Elements
  - OS-V: 0700 Twisted Cantilever Beam (Implicit Results)
    MacNeal-Harder Test This is a twisted cantilever beam solved with solid and shell elements. A model is made with each element's type to investigate the effect of distorted elements with a high aspect ratio.
  - OS-V: 0710 Curved Cantilever Beam
    MacNeal-Harder Test This is a curved cantilever beam solved with solid and shell elements. A model is made with each element's type to investigate the effect of distorted elements with a high aspect ratio.
  - OS-V: 0720 Straight Cantilever Beam
    MacNeal-Harder Test This is a straight cantilever beam solved with solid and shell elements. Three models (rectangular, parallelogram, trapezoidal) are made with each element's type to investigate the effect of distorted elements with a high aspect ratio.
  - OS-V: 0730 Scordelis-Lo Roof
    MacNeal-Harder Test The Scordelis-Lo Roof is a classical benchmark problem for shell elements. Analytical and experimental investigations were initially performed by Scordelis and Lo.
  - OS-V: 0740 Curved Strip Hook
    Raasch ChallengeThe Raasch challenge is a curved strip hook problem with a tip in-plane shear load, posed in 1990 by Ingo Raasch of BMW in Germany. The problem poses a significant challenge to shell elements because of the inherent coupling between three modes of deformation: bending, extension, and twist. OptiStruct is benchmarked against the Raasch challenge to assure its shell elements performance on Linear Static Analysis.
  - OS-V: 0750 Radial Stretching of a Cylinder
    Illustrates the use of asymmetrical elements (CTAXI) under uniform radial displacement in OptiStruct.
  - OS-V: 0760 MacNeal-Harder Solid Patch Test
    MacNeal-Harder TestThe patch test is a classical benchmark problem for the element. If it produces correct results for the test, the result for any problem solved with the element will converge toward the correct solution. The intended purpose of the proposed problem set is to ascertain the accuracy of finite element in various applications.
- Materials
- Fatigue Analysis
- Rotor Dynamics
- Frequency Response Analysis
- Explicit Dynamic Analysis
- Aeroelastic Analysis
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OS-V: 0710 Curved Cantilever Beam

MacNeal-Harder Test This is a curved cantilever beam solved with solid and shell elements. A model is made with each element's type to investigate the effect of distorted elements with a high aspect ratio.

veri_curve — 図 1. FE Model of the Beam with Boundary Conditions and Loadcases

Model Files

開始前に、この問題で使用するファイルを作業ディレクトリにコピーしてください。

Benchmark Model

Six types of elements are used for this problem. They are tria-shell, quad-shell, and hexa-solid elements, each with 1st and 2nd order. Two loading cases, in-plane bending and transverse bending, are used for each model. For both load cases, unit loads are applied in a consistent fashion over all of the nodes at the tip of the beam.

Theoretical solutions for the deflections at the tip, computed by beam theory, are:


Load Type	Component	Value
In-plane bending	UY	0.08734
Transverse bending	UZ	0.5022

Linear Static Analysis Results

All results are normalized with the target value.


	In-plane Bending	Transverse Bending
QUAD4	0.952	0.955
QUAD8	1.015	0.984
TRI3	0.025	0.950
TRI6	1.005	0.961
HEX8	0.880	0.820
HEX20	1.009	0.946

Reference

MacNeal, R.H., and Harder, R.L., A Proposed Standard Set of Problems to Test Finite Element Accuracy, Finite Elements in Analysis and Design, 1 (1985) 3-20.