Home
Verification Problems
Solved verification models.
Modal Analysis
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.

Welcome
What's New
View new features for SimSolid 2024.
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. VM13 Determine the frequency and damping rate of a 1D damped oscillator.
- Thermal Analysis
- Thermal Loading
- Non-linear
- Dynamics

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.

Definition

Pins are simulated via zero displacements applied to a straight line. The front surface of the cross is fixed from out-of-plane displacements.

The units are SI.

The material properties are:

Properties: Value
Modulus of Elasticity: 2e+11 N/m²
Poisson's Ratio: 0.3
Mass density: 8000 kg/m³

Results

The following table summarizes the modes.


	Reference Solution	SimSolid	% Difference
Mode 1 [Hz]	11.336	11.316	-0.18%
Mode 2 [Hz]	17.709	17.813	0.59%
Mode 3 [Hz]	17.709	17.842	0.75%
Mode 4 [Hz]	17.709	17.843	0.76%
Mode 5 [Hz]	45.345	45.126	-0.48%
Mode 6 [Hz]	57.390	57.364	-0.05%
Mode 7 [Hz]	57.390	57.366	-0.04%
Mode 8 [Hz]	57.390	57.546	0.27%

¹ NAFEMS, SBNFA (November 1987), Test 1.