10. F modeling results#

10.1. Values tested for the consistent mass matrix#

Identification

Reference

Type

Precision

\(\mathrm{DZ}\) at point \(A\) \(t=1.0\times {10}^{-5}s\)

1.0e—3

ANALYTIQUE

0.1%

\(\mathrm{DZ}\) to point \(A\) \(t=2.4\times {10}^{-5}s\)

—4.0e—4

ANALYTIQUE

0.1%

\(\mathrm{DZ}\) at point \(A\) \(t=8.0\times {10}^{-5}s\)

—8.0e—4

ANALYTIQUE

2.8%

\(\mathit{DZ}\) at point \(A\) \(t=1.2\times {10}^{-4}s\)

2.0e—3

ANALYTIQUE

4.3%

\(\mathit{VZ}\) to point \(A\) \(t=1.2\times {10}^{-4}s\)

—100

ANALYTIQUE

3.7%

Instant \((s)\)

Reference

Type

Precision

Kinetic energy

\(t=1.0e-6s\)

800J

ANALYTIQUE

0.1%

Kinetic energy

\(t=1.2e-4s\)

800J

ANALYTIQUE

0.1%

10.2. Values tested for the lumped mass matrix#

Identification

Reference

Type

Precision

\(\mathrm{DZ}\) at point \(A\) \(t=1.0\times {10}^{-5}s\)

1.0e—3

ANALYTIQUE

0.1%

\(\mathrm{DZ}\) to point \(A\) \(t=2.4\times {10}^{-5}s\)

—4.0e—4

ANALYTIQUE

0.1%

\(\mathrm{DZ}\) at point \(A\) \(t=8.0\times {10}^{-5}s\)

—8.0e—4

ANALYTIQUE

2.0%

\(\mathit{DZ}\) to point \(A\) \(t=1.2\times {10}^{-4}s\)

2.0e—3

ANALYTIQUE

7.9%

\(\mathit{VZ}\) to point \(A\) \(t=1.2\times {10}^{-4}s\)

—100

ANALYTIQUE

30%

Instant \((s)\)

Reference

Type

Precision

Kinetic energy

\(t=1.0e-6s\)

800J

ANALYTIQUE

0.1%

Kinetic energy

\(t=1.2e-4s\)

800J

ANALYTIQUE

3.0%