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The investigation of guided wave propagation around a pipe bend using an analytical modeling approach
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10.1121/1.4790349
/content/asa/journal/jasa/133/3/10.1121/1.4790349
http://aip.metastore.ingenta.com/content/asa/journal/jasa/133/3/10.1121/1.4790349

Figures

Image of FIG. 1.
FIG. 1.

Phase velocity dispersion curves for a 3 in. Schedule 40 steel pipe (88.9 mm outer diameter, 5.49 mm wall thickness). L(0,1) family modes represented by dotted black lines, T(0,1) family modes by continuous black lines and L(0,2) family modes by continuous gray lines.

Image of FIG. 2.
FIG. 2.

(Color online) Layout of finite element model and pipe bend experiment.

Image of FIG. 3.
FIG. 3.

Finite element predictions of wave modes after propagation of T(0,1) around a 90° bend with a 229 mm mean bend radius in a 3 in. Schedule 40 steel pipe. (a) T(0,1), (b) F(1,2), (c) F(2,2).

Image of FIG. 4.
FIG. 4.

(Color online) Orientation of wave modes received after an excitation of F(1,2) before a 90° bend with a 229 mm mean bend radius in a 3 in. Schedule 40 steel pipe.

Image of FIG. 5.
FIG. 5.

(Color online) Amplitude of T(0,1) after a 229 mm mean radius, 90° bend in a 3 in. Schedule 40 steel pipe from excitation of flexural waves modes at different orientations before the bend.

Image of FIG. 6.
FIG. 6.

Experimentally measured wave modes after propagation of T(0,1) around a 90° bend with a 229 mm mean bend radius in a 3 in. Schedule 40 steel pipe. (a) T(0,1), (b) F(1,2), (c) F(2,2).

Image of FIG. 7.
FIG. 7.

Experimentally measured versus finite element predicted F(1,2) wave mode received after propagation of F(1,2) at 90° around a 90° bend with a 229 mm mean bend radius in a 3 in. Schedule 40 steel pipe.

Image of FIG. 8.
FIG. 8.

Experimentally measured versus finite element predicted F(2,2) wave mode received after propagation of F(1,2) at 90° around a 90° bend with a 229 mm mean bend radius in a 3 in. Schedule 40 steel pipe.

Image of FIG. 9.
FIG. 9.

(Color online) Illustration of the method for determining the bend multiplier functions for the example of the T(0,1) wave mode incident on the pipe bend. The multiplier is calculated by dividing the received signals by the input signal in the frequency domain.

Image of FIG. 10.
FIG. 10.

(Color online) Illustration of the method for applying the effect of the pipe bend to signals from a flaw. The amplitudes of some typical signals are shown in the frequency domain.

Image of FIG. 11.
FIG. 11.

Comparison between analytical model and FEA for signals from a flaw beyond a 3 × NB pipe bend in a 3 in. Schedule 40 steel pipe: (a) 150° flaw at 0°, T(0,1) response; (b) 150° flaw at 0°, F(1,2) response at 0°; (c) 150° flaw at 90°, T(0,1) response; (d) 150° flaw at 90°, F(1,2) response at 90°.

Image of FIG. 12.
FIG. 12.

Comparison between analytically reconstructed signals from a 150° flaw beyond a pipe bend with finite element for signals from a 150° flaw in straight pipe: (a) T(0,1); (b) F(1,2).

Tables

Generic image for table
TABLE I.

Wall thickness measurements in the middle of the bend.

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/content/asa/journal/jasa/133/3/10.1121/1.4790349
2013-03-06
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: The investigation of guided wave propagation around a pipe bend using an analytical modeling approach
http://aip.metastore.ingenta.com/content/asa/journal/jasa/133/3/10.1121/1.4790349
10.1121/1.4790349
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