A Hybrid Particle Swarm Optimization (PSO)-Simplex Algorithm for Damage Identification of Delaminated Beams

Table 1

Delamination scenarios and identification results from HOA.

Case no.	𝜉1, 𝜉2	Delamination type	𝜔1, 𝜔2, 𝜔3; (Hz)	𝜉^∗1, 𝜉^∗2
I	0.2, 0.4	𝐸2=𝐸3, 𝜌2=𝜌3, 𝐻2=𝐻3	26.135, 74.354, 129.702	0.200, 0.400
II		𝐸2=𝐸3, 𝜌2=𝜌3, 𝐻2=0.5𝐻3	26.454, 74.504, 135.005	0.199, 0.401
III		𝐸2=𝐸3, 𝜌2=𝜌3, 𝐻2=0.2𝐻3	26.886, 74.696, 142.414	0.200, 0.401
IV		𝐸2=0.5𝐸3, 𝜌2=𝜌3, 𝐻2=𝐻3	21.757, 61.692, 108.963	0.201, 0.400
V		𝐸2=0.2𝐸3, 𝜌2=𝜌3, 𝐻2=𝐻3	15.980, 44.757, 82.814	0.200, 0.401
VI	0.4, 0.6	𝐸2=𝐸3, 𝜌2=𝜌3, 𝐻2=𝐻3	27.114, 67.920, 144.182	0.400, 0.600
VII		𝐸2=𝐸3, 𝜌2=𝜌3, 𝐻2=0.5𝐻3	27.122, 70.045, 145.022	0.399, 0.599
VIII		𝐸2=𝐸3, 𝜌2=𝜌3, 𝐻2=0.2𝐻3	27.131, 73.024, 146.074	0.400, 0.601
IX		𝐸2=0.5𝐸3, 𝜌2=𝜌3, 𝐻2=𝐻3	22.484, 56.889, 119.783	0.399, 0.600
X		𝐸2=0.2𝐸3, 𝜌2=𝜌3, 𝐻2=𝐻3	16.278, 42.751, 87.291	0.399, 0.599