Fig. 1

Cantilever cracked beam with nonholonomic constraint boundary"

Fig. 2

Distributions of the defections $W(\xi)$ and damage-induced deflections $W_{\rm D}(\xi)$ of the cantilever cracked beam with nonholonomic constraint boundary for different crack depths $d_{1}/h$ when $\xi _{1}=0.5$"

Fig. 3

Distributions of the crack-induced chord-wise deflections $W_{\rm C}(\xi)$ of the cantilever cracked beam with nonholonomic constraint boundary for different crack depths $d_{1}/h$ when $\xi_{1}=0.5$"

Table 1

Identification results of the nonholonomic constraint compliances $f_{\rm r}$ and $f_{\rm t}$ for different measurement errors $e$"

Table 2

Identification results of the crack locations $\xi _{1}$ and compliances $f_{1}$ of the crack equivalent spring with different crack depths $d_{1}/h$ and measurement errors $e$"

Fig. 4

Distributions of the defections $W(\xi)$ and damage-induced deflections $W_{\rm D}(\xi)$ of the cantilever beam with nonholonomic constraint boundary and two cracks at $\xi_{1}=0.4$ and $\xi _{2}=0.7$ for different crack depths $d/h$"

Fig. 5

Distributions of the crack-induced chord-wise deflections $W_{\rm C}(\xi)$ of the cantilever beam with nonholonomic constraint boundary and two cracks at $\xi _{1}=0.4$ and $\xi _{2}=0.7$ for different crack depths $d/h$ "

Table 3

Identification results of the crack locations $\xi_{1 }$ and compliances $f_{1}$ of the crack equivalent spring with different crack depths $d_{1}/h$ and measurement errors $e$"

Table 4

Identification results of the crack locations $\xi _{2}$ and compliances $f_{2}$ of the crack equivalent spring with different crack depths $d_{2}$/$h$ and measurement errors $e$"