PSI - Issue 72

Alexander Kamenskikh et al. / Procedia Structural Integrity 72 (2025) 252–259

257

Fig. 3. Normal displacements ( a ) and the lowest natural frequencies ( b ) of plate vibration in the vicinity of critical temperature load Δ T cr (CCCC)

1 st mode shape

2 nd mode shape

3 rd mode shape

Δ T =0 °С, ω 1 =161.69Hz

Δ T =0 °С, ω 2 =250.59Hz

Δ T =0 °С, ω 3 =399.40Hz

Δ T =10 °С, ω 1 =289.77Hz

Δ T =10 °С, ω 2 =309.29Hz

Δ T =10 °С, ω 3 =337.64Hz

Δ T =40 °С, ω 1 =193.49Hz

Δ T =40 °С, ω 2 =275.10Hz

Δ T =40 °С, ω 3 =416.01Hz

Fig. 4. Three first mode shapes of a plate rigidly clamped at all edges under the action of a temperature load ΔT

The normal displacement fields of the plate rigidly fixed at all edges under similar temperature loads are shown in Fig. 5. It is obvious that at Δ T =0 °C there are no displacements, and in the range Δ T ∈ (0; 2.835) °C a transient process occurs.