Shock and Vibration / 2019 / Article / Tab 1 / Research Article
Modelling a Cracked Beam Structure Using the Finite Element Displacement Method Table 1 Comparisons of the first two natural frequencies from the proposed model, FEFM, and the experimental investigation for a cracked cantilever beam with open crack.
Crack (mm) Method Natural frequencies (Hz) Difference (%) X a The first mode The second mode The first mode The second mode 80 2 Exp. [29 ] 184.0 1160.0 — — FEFM [18 ] 184.0 1159.8 0 0.02 This study 184.2 1159.3 0.11 0.06 80 6 Exp. [29 ] 174.7 1155.3 — — FEFM [18 ] 177.1 1154.7 1.37 0.05 This study 175.3 1153.9 0.34 0.12 140 2 Exp. [29 ] 184.7 1153.1 — — FEFM [18 ] 184.7 1153.2 0 0 This study 184.7 1153.1 0 0 140 6 Exp. [29 ] 181.2 1092.9 — — FEFM [18 ] 181.8 1102.9 0.33 0.91 This study 181.4 1091.1 0.11 0.16 200 2 Exp. [29 ] 185.0 1155.0 — — FEFM [18 ] 185.0 1155.0 0.05 0.8 This study 185.0 1154.9 0 0.01 200 6 Exp. [29 ] 184.3 1106.3 — — FEFM [18 ] 184.4 1114.8 0.05 0.77 This study 184.3 1106.2 0 0.01 No crack Exp. [29 ] 185.2 1160.6 — — FEFM [18 ] 185.1 1160.4 0.05 0.02 This study 185.1 1159.9 0.05 0.06
FEFM: finite element model with force method.