v2.01.325 SDLD325 - Transient dynamic response of a damped mass-spring system with 2 degrees of freedom

Summary:

This problem consists in analyzing the dynamic response of a system composed of a set of spring-damper weights with 2 degrees of freedom whose spring stiffness is very different under crenge-type excitation in 1 degree of freedom.

Through this problem, we test the sensitivity of integration schemes on physical space or modal space with respect to the rigidity ratio.

The displacement and speed results are compared to an average of results from industrial codes and an improved Newmark numerical integration method.

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
  • 1.4. Initial conditions
• 2. Benchmark solution
  • 2.1. Calculation method used for the reference solution
  • 2.2. Benchmark results
  • 2.3. Uncertainty about the solution
  • 2.4. Bibliographical references
• 3. Modeling A
  • 3.1. Characteristics of modeling
  • 3.2. Characteristics of the mesh
  • 3.3. Tested sizes and results
  • 3.4. notes
• 4. B modeling
  • 4.1. Characteristics of modeling
  • 4.2. Characteristics of the mesh
  • 4.3. Tested sizes and results
  • 4.4. notes
• 5. Summary of results