v2.01.002 SDLD02 - Spring mass system with 8 degrees of freedom

Summary:

This two-dimensional problem consists in looking for the frequencies and the modes of vibration of a mechanical structure composed of masses and springs. This Structural Mechanics test case corresponds to a dynamic analysis of a discrete model with linear behavior.

This test allows a complete validation of the discrete stiffness and mass modeling options (without finite elements) offered by the AFFE_CARA_ELEM command. Four different models are proposed: two models for discrete elements in translation and two others for discrete elements in translation/rotation. In addition, various functionalities of the commands CALC_MODES (calculation of values and eigenvectors) and NORME_MODE (definition of the norm of an eigenvector) are tested.

This test refers to test VPCS, but it has been modified. In fact, the Code_Aster test orients the mechanical system on an axis \(\mathrm{3y}\mathrm{=}\mathrm{4x}\), which makes it possible to validate the entry of data in a local coordinate system.

• 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. C modeling
  • 5.1. Characteristics of modeling
  • 5.2. Characteristics of the mesh
  • 5.3. Tested sizes and results
  • 5.4. notes
• 6. D modeling
  • 6.1. Characteristics of modeling
  • 6.2. Characteristics of the mesh
  • 6.3. Tested sizes and results
  • 6.4. notes
• 7. E modeling
  • 7.1. Characteristics of modeling
  • 7.2. Characteristics of the mesh
  • 7.3. Tested sizes and results
  • 7.4. notes
• 8. F and G modeling
  • 8.1. Characteristics of modeling
  • 8.2. Characteristics of the mesh
  • 8.3. Tested sizes and results
  • 8.4. notes
• 9. Summary of results