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Verification Problems
This manual presents solved verification models including NAFEMS problems.
NAFEMS Dynamic Response Analysis
OS-V: 0386 Vibrating Sphere
Test No. CA1Modal Frequency Response Analysis test.

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Verification Problems
This manual presents solved verification models including NAFEMS problems.
- NAFEMS Linear Elastic
- NAFEMS Thermo-elastic
- NAFEMS Heat Transfer
- NAFEMS Nonlinear Static Analysis
- NAFEMS Dynamic Response Analysis
  - OS-V: 0300 Deep Simply-Supported Beam Harmonic Forced Vibration Response
    Test 5H OptiStruct is used to investigate the Peak Displacement in y-direction and extreme fiber bending stress at undamped Natural Frequency (at the mid-span node).
  - OS-V: 0310 Deep Simply-Supported Beam Periodic Forced Vibration Response
    Test 5P OptiStruct is used to investigate the Peak Displacement in the y-direction and extreme fiber bending stress at the mid-span node.
  - OS-V: 0330 Deep Simply-Supported Beam Transient Forced Vibration Response
    Test 5T OptiStruct is used to investigate the Peak Displacement in y-direction, the time at the peak displacement, extreme fiber bending stress at undamped Natural Frequency and the Static displacement at the mid-span node.
  - OS-V: 0340 Simply-Supported Thin Square Plate Harmonic Forced Vibration Response
    Test 13H OptiStruct is used to investigate the Peak Displacement in z-direction and extreme fiber bending stress at undamped Natural Frequency (at the center of the plate).
  - OS-V: 0350 Simply-Supported Thin Square Plate Periodic Forced Vibration Response
    Test 13P OptiStruct is used to investigate the Peak Displacement in z-direction and extreme fiber bending stress at the center of the plate.
  - OS-V: 0365 Simply-Supported Thin Square Plate Transient Forced Vibration Response
    Test 13T OptiStruct is used to investigate the Peak Displacement in z-direction, the time at the peak displacement, extreme fiber bending stress at undamped Natural Frequency and the Static displacement at the center of the plate.
  - OS-V: 0370 Simply-Supported Thick Square Plate Harmonic Forced Vibration Response
    Test 21H OptiStruct is used to investigate the Peak Displacement in z-direction and extreme fiber bending stress at undamped Natural Frequency (at the center of the plate).
  - OS-V: 0375 Simply-Supported Thick Square Plate Periodic Forced Vibration Response
    Test 21P OptiStruct is used to investigate the Peak Displacement in z-direction and extreme fiber bending stress at the center of the plate.
  - OS-V: 0385 Simply-Supported Thick Square Plate Transient Forced Vibration Response
    Test 21T OptiStruct is used to investigate the Peak Displacement in z-direction, the time at the peak displacement, extreme fiber bending stress at undamped Natural Frequency and the Static displacement at the center of the plate.
  - OS-V: 0386 Vibrating Sphere
    Test No. CA1Modal Frequency Response Analysis test.
  - OS-V: 0387 Vibrating Cylinder
    Test No. CA2A numerical simulation of sound radiation of a cylinder with vibrating lateral surface radiating sound into the exterior unbounded domain.
- NAFEMS Random Response Analysis
- NAFEMS Normal Modes Analysis
- NAFEMS Composites
- Response Spectrum Analysis
- Elements
- Materials
- Fatigue Analysis
- Rotor Dynamics
- Frequency Response Analysis
- Explicit Dynamic Analysis
- Aeroelastic Analysis
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This section provides quick responses to typical and frequently asked questions regarding OptiStruct.

OS-V: 0386 Vibrating Sphere

Test No. CA1Modal Frequency Response Analysis test.

Model Files

Before you begin, copy the file(s) used in this problem to your working directory.

NAFEMS_TEST_CA1.fem

Benchmark Model

The model is a sphere with 1m Radius. The frequency spectrum of the sound pressure level is generated by the pulsating sphere at 15 m from its center. The considered frequency range is from 4 to 500 Hz.

First order CQUAD4 elements are used for Sphere. Due to symmetry, only one-eighth of the sphere needs to be discretized by 48 elements. The Sphere is subjected to normal velocity of V_n = 0.1 m/s on all the surface in the radial direction. The surface of the Sphere is fixed.

The material properties are:

Property: Value
Density of fluid (air): 1.225 kg/m³
Speed of sound: 340 m/s

Modal Frequency Analysis Results