Thermal effects on geometrically nonlinear vibrations of rectangular plates with fixed edges

Damage Detections in Nonlinear Vibrating Thermally Loaded Plates

“…This phenomenon may indicate that for these loading parameters the dynamic system changes its position in the basin of attractions moving from one region to another. This observation agrees with the fact that the plate buckles at T = 0.9 K [1]. The shapes of the Poincaré plots at the damaged nodes are similar.…”

“…It was shown in [1] that the buckling temperature for this plate is T = 0.9 K . It is clear that the attempt to inspect such a plate for damage without considering the temperature changes is condemned to fail.…”

“…The first example concerns the same plate as the one considered in [1]. The plate has the following dimensions and material properties: a = 0.25 m, b = 0.24 m, h = 0.00027 m, E = 198.10 9 Pa, ρ = 7,850 kg/m 3 , ν = 0.3 and α T = 17.3×10 -6 K -1 .…”

“…9 in [1], so the verification of the present results is satisfactory. Then the same plate but with increased thickness h = 0.0005 m (case B from [1]) was subjected to thermal and dynamic loading. For this plate two cases were considered: (1) undamaged plate and (2) plate with reduced thickness in a small part of the plate -the white area from the plate shown in Fig.…”

“…Thermal loads introduce stresses due to thermal expansion, which lead to changes in the modal properties. Thermal loads can also cause buckling and in some cases even lead to chaotic behaviour [1][2][3][4][5].…”