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Articles

Crack identification of beam structures using homotopy continuation algorithm

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Pages 169-187 | Received 26 Jun 2015, Accepted 08 Jan 2016, Published online: 10 Feb 2016

Figures & data

Figure 1. A simply supported beam with cracks (1, 8, 21: Nodes of the finite element).

Figure 1. A simply supported beam with cracks (1, 8, 21: Nodes of the finite element).

Figure 2. Variation of flexural rigidity of a crack in ith finite element.

Figure 2. Variation of flexural rigidity of a crack in ith finite element.

Figure 3. Different arrangement of a crack in the ith beam element.

Figure 3. Different arrangement of a crack in the ith beam element.

Table 1. Crack identification for the cantilever beam by different methods.

Table 2. Identification of single crack in a simply supported beam.

Table 3. Effect of different external excitations.

Figure 4. Effect of different external excitations on the identification results.

Figure 4. Effect of different external excitations on the identification results.

Table 4. Effect of division of the homotopy parameter.

Figure 5. Effect of division of the homotopy parameter on the identification results.

Figure 5. Effect of division of the homotopy parameter on the identification results.

Table 5. Effect of measurement noise on single crack identification.

Table 6. Crack identification using displacement measurement.

Table 7. Identification of two cracks in a simply supported beam.

Figure 6. A continuous beam with cracks.

Note. 1, 11, 26, 33 and 51 denote the nodes of the finite element model.
Figure 6. A continuous beam with cracks.

Table 8. Identification of two cracks in a continuous beam.

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