r4.05.02 Stochastic approach for seismic analysis

Summary:

This document presents a probabilistic calculation method for determining the response of a structure subjected to random seismic excitation from the excitation interspectra at the support points of the structure. The answer is itself expressed in the form of interspectra.

• 1. Introduction
• 2. Principle of the approach
  • 2.1. Position of the problem under consideration and general principle
  • 2.2. Breakdown of the movement
  • 2.3. Breakdown on a modal basis
  • 2.4. Harmonic response
• 3. The dynamic random response
  • 3.1. Reminder on power spectral densities [bib2]
  • 3.2. The equations of motion
  • 3.3. Application in Code_Aster
• 4. Definition of the interspectral excitatory power matrix
  • 4.1. Reading on a file
  • 4.2. Obtaining an interspectrum from time functions
  • 4.3. Excitations predefined or reconstructed from existing complex functions
  • 4.4. Other types of arousal
  • 4.5. Apps
• 5. Bibliography
• 6. Description of document versions