4a9bacc1-9960-4e7a-90fd-746570d5895e 97 4 5 false false 0 decimal

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Vibrations of a triangular membrane

Calculation formulas are taken from thearticle:

http://ivdon.ru/uploads/article/pdf/IVD_44__1_Chernyshov.pdf_30f490557a.pdf

γ 0.8232 - 0.4194 - 0.3827 0.5677 0.6187 - 0.543 0.009 0.6643 0.7474 33 mat :

Fr 000 h 3 sqrt / h 02 h * 3 sqrt / 0000043 mat γ * :

h 3 :

kMax 40 :

τ 0 kMax range :

n f a v h 2 / - 3 sqrt 2 / u * v 2 / - h 2 / - h 2 / 3 sqrt 2 / u * - v 2 / - 31 mat : f1 2 π * n * h / a 1 el * sin 2 π * n * h / a 2 el * sin + 2 π * n * h / a 3 el * sin + : f 0.12 2 π * t * kMax / cos * f1 * v 3 sqrt u * ≤ (v 2 h * 3 sqrt u * - ≤ (& (* : u v F u v f 31 mat : t w1 F 02 h * 3 sqrt / 0 h 2020 CreateMesh γ * eval : 51 line :

first the mode of vibration n=1

Fr 1 col Fr 2 col augment 1 f 1 col 1 f 2 col augment 2 1 sys

second the mode of vibration n=2

Fr 1 col Fr 2 col augment 2 f 1 col 2 f 2 col augment 2 1 sys

fourth the mode of vibration n=4

Fr 1 col Fr 2 col augment 4 f 1 col 4 f 2 col augment 2 1 sys

u v f2 2 π * n * h / u v a 1 el * sin 2 π * n * h / u v a 2 el * sin + 2 π * n * h / u v a 3 el * sin + :