Fig. 1

Vibration test system of the pipeline (color online)"

Fig. 2

Test rig of the composite rubber clamp-pipeline system (color online)"

Fig. 3

Test results of the composite rubber clamp under different excitation amplitudes (color online)"

Table 1

Vibration test data of the composite rubber clamp under different excitation amplitudes"

Fig. 4

Flow diagram of nonlinear modeling for the clamp-pipeline system with the CSFM (color online)"

Fig. 5

Optimization schematic and process of the genetic algorithm (color online)"

Table 2

Optimized model coefficients under four excitation amplitudes"

Fig. 6

Comparisons of the vibration responses obtained by the experiments and CSFM under different excitation amplitudes (color online)"

Fig. 7

Relationships between the identification parameters and the excitation amplitude for the CSFM (color online)"

Table 3

Comparisons of the experimental and predicted results with the CSFM"

Fig. 8

Simulations of the CSFM and experiments under different excitation amplitudes (color online)"

Fig. 9

Flow diagram of nonlinear modeling for the clamp-pipeline system with the BWM (color online)"

Table 4

Optimized parameters of the composite rubber clamp under four excitation amplitudes"

Fig. 10

Comparisons of vibration responses obtained by the experiments and BWM under different excitation amplitudes (color online)"

Fig. 11

Relationships between the identification parameters and the excitation amplitude of the BWM (color online)"

Table 5

Comparisons of vibration responses obtained by the experiments and predictions"

Fig. 12

Simulations of the BWM and experiments under different excitation amplitudes (color online)"

Fig. 13

Comparisons of experiments and two models for the composite rubber clamp (color online)"

Table 6

Comparisons of vibration responses in Region 2"