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Test No. FV41 A free cylinder with axi-symmetric vibration. OptiStruct is used to investigate the rigid body mode, close eigenvalues, and the coupling between axial, radial and circumferential behavior.
OS-V: 0400 Pin-ended Double Cross
Test No. FV2 A pin-ended double cross, in-plane vibration problem. OptiStruct is used to investigate the coupling between flexural and extensional behavior, as well as the repeated and closed eigenvalues of the double cross in Normal Modes Analysis.
OS-V: 0410 Cantilever with Off-Center Point Masses
Test No. FV4 The problem is set up to test the behavior of coupling between torsional and flexural, off-center inertial axis, and close eigenvalues. OptiStruct is used in this normal modes analysis.
OS-V: 0415 Deep Simply-Supported Beam
Test No. FV5 OptiStruct tests the repeated eigenvalues, shear deformation, and rotary inertia. The possibility of missing extensional modes is also investigated.
OS-V: 0420 Free Thin Square Plate
Test No. FV12 A thin square plate model, which contains three rigid body modes. OptiStruct investigates the repeated eigenvalues and kinematically incomplete suppressions of the thin plate in Normal Modes Analysis.
OS-V: 0425 Clamped Thin Rhombic Plate
Test No. FV15 The behavior of distorted thin elements in normal modes analysis is examined using OptiStruct.
OS-V: 0430 Cantilevered Thin Square Plate
Test No. FV16 A cantilevered thin square plate of 10m×10m dimension. OptiStruct is used to investigate the frequencies at different modes for different test cases.
OS-V: 0435 Clamped Thick Rhombic Plate
Test No. FV22 The behavior of distorted, thick elements in normal modes analysis is examined using OptiStruct.
OS-V: 0440 Cantilevered Tapered Membrane
Test No. FV32 A tapered membrane problem with irregular mesh. The geometry and mesh symmetry are maintained along the x-direction. The shear behavior of membrane elements in the Normal Modes Analysis is examined using OptiStruct.
OS-V: 0450 Free Cylinder: Axi-symmetric Vibration
Test No. FV41 A free cylinder with axi-symmetric vibration. OptiStruct is used to investigate the rigid body mode, close eigenvalues, and the coupling between axial, radial and circumferential behavior.
OS-V: 0455 Simply-Supported Solid Square Plate
Test No. FV52 A well-established solid square plate, which contains three rigid modes with the given boundary condition. The test examines the performance of OptiStruct Normal Modes Analysis on 3D solid elements.
OS-V: 0460 Dynamic Behavior of a Fluid-containing Structure using MFLUID
A vertical clamped free cylindrical shell with a rigid bottom is chosen to demonstrate the applicability of the structures which are partially filled such as liquid storage tanks.
NAFEMS Composites
Response Spectrum Analysis
本セクションでは、OptiStructに関してよくある代表的な質問についてお答えしています。
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 Normal Modes Analysis
OS-V: 0450 Free Cylinder: Axi-symmetric Vibration
Test No. FV41 A free cylinder with axi-symmetric vibration. OptiStruct is used to investigate the rigid body mode, close eigenvalues, and the coupling between axial, radial and circumferential behavior.
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OS-V: 0450 Free Cylinder: Axi-symmetric Vibration
Test No. FV41 A free cylinder with axi-symmetric vibration. OptiStruct is used to investigate the rigid body mode, close eigenvalues, and the coupling between axial, radial and circumferential behavior.
図 1. FE Model with Boundary Conditions and Loadcases
Benchmark Model
The 1st order and 2nd order triangular axi-symmetric elements (CTAXI) are used to model the cylinder. The cylinder is unsupported.
The material properties are:
Young's Modulus
200 x 109 N/m2
Poisson's Ratio
Modal Analysis Results
Mode shapes predicted by OptiStruct.
The frequency of each targeted mode is normalized with the NAFEMS closed form solution.
1.000780801
1.014161337
1.053263135
1.051557295
1.023434343
1.000287522
1.000689381
1.002314344
1.007906741
1.010748934
1.004454527
1.003696612
1.037513821
1.020239592
0.949311346
1.001027622
0.999258651
1.006872413
1.005511453
0.958108747
Model Files
必要なモデルファイルのダウンロードについては、モデルファイルへのアクセスを参照してください。
The model files used in this problem include:
FV41HOEC.fem
FV41HOEF.fem
FV41LOEC.fem
FV41LOEF.fem
NAFEMS R0015 - Selected benchmarks for natural frequency analysis
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