Problem 6: Linear Analysis of a Spring-mass System
Objective
The objective is to find the natural frequency of the spring mass system as shown in the figure below.
Figure 1.
Entities Validated
- Rigid body
- Spring
Type of Analysis
- Linear
Reference
Vector Mechanics for Engineers: Statics | Dynamics, Twelfth Edition by Beer, Johnston, Mazurek, Cornwell, Self: 1358
Model Files
spring_mass_linear.mdl - MotionView Model
spring_mass_linear.xml - MotionSolve Deck
Eigen File Results
Figure 2.
Result Comparison
| Output | Analytical | MotionSolve | % Error |
|---|---|---|---|
| Natural frequency (Hz) | 2.250791 | 2.250791 | 0% |
Conclusion
MotionSolve results compare well with the analytical results.