5. C modeling#

5.1. Characteristics of modeling#

The beam is meshed with elements of type POU_D_E.

The transitory problem is solved directly on various types of projection bases.

The problem is addressed for four types of projection:

  • on a base composed of the first 5 normal modes;

  • on a base composed of the first 5 normal modes enriched with a static mode;

  • on a base composed of the first 5 normal modes enriched with a static mode and orthogonalization of the base with respect to the stiffness matrix using the operand ORTHO =” OUI “of DEFI_BASE_MODALE;

  • on a base composed of the first 5 normal modes enriched with a static mode and orthogonalization of the base with respect to the stiffness matrix using the ORTHO_BASE operand from DEFI_BASE_MODALE.

5.2. Characteristics of the mesh#

Number of knots: 11

Number of meshes and types: 10 SEG2

5.3. Observed values#

Identification

Reference

Tolerance

Base without static modes

Displacement (\(m\))

\(-1.85334E-06\)

\(7.5\text{\%}\)

Speed (\({\mathrm{m.s}}^{-1}\))

\(-4.63284E-03\)

\(4.0\text{\%}\)

Base with static modes

Displacement (\(m\))

\(-1.85334E-06\)

\(3.5\text{\%}\)

Speed (\({\mathrm{m.s}}^{-1}\))

\(-4.63284E-03\)

\(0.6\text{\%}\)

Base with static mode + ORTHO =” OUI “

Displacement (\(m\))

\(-1.85334E-06\)

\(3.5\text{\%}\)

Speed (\({\mathrm{m.s}}^{-1}\))

\(-4.63284E-03\)

\(0.6\text{\%}\)

Base with static mode + ORTHO_BASE

Displacement (\(m\))

\(-1.85334E-06\)

\(3.5\text{\%}\)

Speed (\({\mathrm{m.s}}^{-1}\))

\(-4.63284E-03\)

\(0.6\text{\%}\)