v2.01.110 SDLD110 —Stiff dynamic system with 2 degrees of freedom

Summary:

The problem under consideration is a dynamic system with 2 degrees of freedom, often used in the literature to illustrate the concept of a steep problem.

These are 3 unit masses connected by springs of very different stiffness (several orders of magnitude), one end of which is excited by a sinusoidal displacement.

The test brings together several models, on a physical basis and on a modal basis with different temporal integration schemes.

• 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
  • 2.2. Uncertainty about the solution
  • 2.3. Bibliographical reference
• 3. Modeling A
  • 3.1. Characteristics of modeling
  • 3.2. Characteristics of the mesh
  • 3.3. Tested sizes and results
• 4. B modeling
  • 4.1. Characteristics of modeling
  • 4.2. Characteristics of the mesh
  • 4.3. Tested sizes and results
• 5. C modeling
  • 5.1. Characteristics of modeling
  • 5.2. Characteristics of the mesh
  • 5.3. Tested sizes and results
• 6. D modeling
  • 6.1. Characteristics of modeling
  • 6.2. Characteristics of the mesh
  • 6.3. Tested sizes and results
• 7. Summary of results