Home
Verification Problems
Solved verification models.
Modal Analysis
SS-V: 2080 Circular Ring - In-plane and Out-of-plane Vibration
Test No. VM09 Perform normal mode dynamic analysis of an unconstrained circular ring.

Welcome
What's New
View new features for SimSolid 2024.1.
Get Started
Learn the basics and discover the workspace.
Tutorials
Discover SimSolid functionality with interactive tutorials.
Interface with External Products
Interfaces that support SimSolid output file format.
Geometry
Information about treatment and properties of geometric entities in SimSolid.
Assembly
Summary of available functionality for defining the properties and behavior of parts in the model.
Connections
Connections are used to define the association of different regions of interest between parts in an assembly.
Create Analysis
Create an analysis for your project.
Boundary Conditions
Boundary Conditions available for SimSolid.
Post Processing
Run analyses and view a variety of results in SimSolid.
Design Study
Design studies allow you to quickly evaluate and compare the structural performance from different design scenarios.
Verification Problems
Solved verification models.
- Introduction
  The purpose and format of the SimSolid verification problems document.
- Access the Model Files
  Learn how to access and download required model files.
- Static Analysis
- Modal Analysis
  - SS-V: 2000 Free Vibration of a Wedge
    Test No. VM01 Determine the first fundamental frequency and vibration mode of a wedge constrained at the wide end.
  - SS-V: 2010 In-plane Vibration of a Cantilever Plate
    Test No. VM01 Find the fundamental frequency for in-plane vibration of a cantilevered plate.
  - SS-V: 2020 Cylindrical Shell
    Test No. VM03 Find the fundamental frequency of a cantilever cylindrical shell.
  - SS-V: 2030 Free Thin Square Plate
    Test No. VM04 Determine the first fourteen modal frequencies for a free thin square plate.
  - SS-V: 2040 Thick Skewed Plate
    Test No. VM05 Find the fundamental frequency of a thick clamped skewed plate.
  - SS-V: 2050 Thick Square Plate
    Test No. VM06 Determine the first twelve modes and frequencies for a simply supported thick square plate.
  - SS-V: 2060 In-plane Vibration of Pin-ended Cross
    Test No. VM07 Find the first eight modal frequencies for in-plane vibration of a cross with pin joints at the ends.
  - SS-V: 2070 Cantilever Beam
    Test No. VM08 Perform normal mode dynamic analysis of a cantilevered beam.
  - SS-V: 2080 Circular Ring - In-plane and Out-of-plane Vibration
    Test No. VM09 Perform normal mode dynamic analysis of an unconstrained circular ring.
  - SS-V: 2090 Triangular Wing - Fixed Vibration
    Test No. VM10 Perform a normal mode dynamic analysis of a fixed right triangular plate.
  - SS-V: 2100 Cantilevered Tapered Beam
    Test No. VM11 Shear behavior of a cantilevered tapered beam.
  - SS-V: 2110 Cantilever with Off-Center Remote Mass
    Test No. VM12 Find the frequencies of a cantilever with off center remote masses at the free end.
  - SS-V: 2120 Two-body Symmetric Damped Oscillators System
    Test No. VM13Determine the frequency and damping rate of a 1D damped oscillator.
  - SS-V: 2130 1D Damped Oscillator: Translation or Rotation
    Test No. VM14Determine the frequency and damping rate of a 1D damped oscillator.
- Thermal Analysis
- Thermal Loading
- Non-linear
- Dynamics
- Fatigue
- Composites
Frequently Asked Questions
This section provides quick responses to typical and frequently asked questions regarding

SS-V: 2080 Circular Ring - In-plane and Out-of-plane Vibration

Test No. VM09 Perform normal mode dynamic analysis of an unconstrained circular ring.

Definition

The units are SI.

The material properties are:

Properties: Value
Modulus of Elasticity: 2e¹¹ N/m²
Poisson's Ratio: 0.3
Mass density: 8000 kg/m³

Results

The following table summarizes the modes.


	Reference	SimSolid	% Difference	NAFEMS	% Difference
Mode 7, 8 out-of-plane	51.850	51.484	-0.71%	52.290	-1.55%
Mode 9, 10 in-plane	53.380	53.153	-0.43%	53.970	-1.51%
Mode 11, 12 out-of-plane	148.800	146.740	-1.38%	149.700	-1.98%
Mode 13, 14 in-plane	151.000	149.490	-1.00%	152.400	-1.91%
Mode 15 out-of-plane	287.000	280.660	-2.21%	288.300	-2.65%
Mode 16 in-plane	289.500	280.660	-3.05%	288.300	-2.65%

¹ NAFEMS Finite Element Methods & Standards, Abbassian, F., Dawswell, D. J., and Knowles, N. C. Selected Benchmarks for Natural Frequency Analysis, Test No. 6. Glasgow: NAFEMS, Nov, 1987.