Linear solids and vibration · VNV-TET10-MASS-MODAL-LOADS-013-M

TET10 first bending mode

The first bending mode is compared with the Euler–Bernoulli frequency for the recorded cantilever model.

Internal review accepted with recommendationsCampaign version 0.2.0

Read the recorded results ← All calculation cases

First bending mode of the TET10 cantilever with mode shape color map. — First bending mode shape. Its displayed amplitude is normalized and has no physical displacement interpretation.

Recorded values

Main observables and references

Values come from the linked campaign record. Acceptance thresholds are shown separately from observed results.

First bending frequency pair12.7961 / 12.7965 HzEuler–Bernoulli: 12.8519 Hz

Maximum relative frequency error0.434%Euler–Bernoulli beam reference

Model and execution

What was calculated?

The model has 370 TET10 elements, 841 nodes and 2,523 degrees of freedom.
The root is fixed and the response is an undamped free-vibration eigenproblem.
A mode shape is normalized for display; its drawn amplitude is arbitrary.

How to read the evidence

What the results say

The first bending pair is 12.7961 Hz and 12.7965 Hz, compared with 12.8519 Hz from Euler–Bernoulli theory.
The maximum relative frequency error is 0.434%. That percentage describes error; it is not the frequency itself.

Scope boundary

Where this case stops

The result covers this fixed-root cantilever and its first bending pair.
A mode shape is not a forced-response amplitude and does not predict operating vibration levels.

Open the calculation method

These white box sheets explain the element, constitutive law or numerical method used by this case.

White box sheetTET10 element formulation White box sheetUndamped modal analysis White box sheetModal eigensolvers

Reproduce and inspect the source

The source paths below are pinned to one repository commit. Opening the current site does not rerun the original calculation.

Mechanical reviewdocs/verification/revue_tet10_lineaire.mdReproduction scriptscripts/run_tet10_mass_modal_loads_vnv.py

Figure and source snapshot e367fe58b2b9ebb4aef321424ca775e80e82d9ca. Campaign execution version: 0.2.0. Current site release and original calculation version identify different events.

Related cases

Other recorded calculations in this family.

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