r4.10.07 Calculation of the error in relation to behavior in dynamics under a frequency formulation

Summary:

This document presents the principle of calculating the error in relation to behavior (ERC). In this document, the resolution of such a problem is restricted to the case of linear dynamics under the frequency formalism.

Several uses can motivate the use of solving a ERC problem in linear dynamics:

• The expansion of data measured on a numerical model (field reconstruction),

• The use of the ERC function as a cost function in a readjustment or identification problem,

• The spatial location of defects in a numerical model based on measurements.

The resolution operator for ERC is CALC_ERC_DYN [u4.53.41].

• 1. Notations
• 2. Introduction to energy functions: Case of error in behavioral relationships
  • 2.1. Classic formulation of the error in behavioral relationships: the case of elastostatics
  • 2.2. Modified formulation of the error in relation to behavior: dynamic case
• 3. Implemented in Code_Aster
  • 3.1. Practical implementation
• 4. Bibliography