Problem 6: Linear Analysis of a Spring-mass System


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


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%


MotionSolve results compare well with the analytical results.