v2.02.023 SDLL23 - Free-embedded beam subject to an earthquake (spectral response)

Summary

This unidirectional problem consists in carrying out a spectral seismic analysis of a free-embedded beam, provided with two localized masses, subjected to a three-dimensional excitation provided in the form of a spectrum of pseudo-accelerated oscillators.

Through this problem, we test the modal combinations DPC, SRSS,,, CQC and DSC of the COMB_SISM_MODAL operator. The SRSS combination is tested taking into account overlooked trends.

In addition, the operators CALC_MODES, NORM_MODE,, MODE_STATIQUE, DEFI_FONCTION, and DEFI_NAPPE are tested.

Concerning modeling A, the results obtained, relating to Euler beams, are in agreement with the results of other codes, for cases without taking into account the pseudo-mode. The differences with the reference results in the case where the pseudo-mode is taken into account are explained by a different calculation hypothesis for the determination of this pseudo-mode.

B modeling, using Euler beams, relates to a more refined mesh than that of modeling A.

Modeling C includes Timoshenko beams and relates to a mesh identical to that of modeling B; the results show significant differences with Euler beam modeling and are very sensitive to the shear coefficient.

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