v2.01.029 SDLD29 - Transient spring mass with 8 degrees of freedom and non-proportional viscous damping

Summary:

This problem corresponds to a transitory analysis by modal recombination of a discrete linear system consisting of 8 degrees of freedom. This system has non‑proportional damping. A slot-type transient force is applied in 1 degree of freedom.

In this problem, elements DISCRET with modal masses (M_T_D_N), stiffness matrices (K_T_D_L) and damping matrices (A_T_D_L) are tested in a model.

The problem has a reference solution proposed by the VPCS commission. The differences with*Code_Aster* do not exceed 1.8%.

• 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. Summary of results