Wave propagation across a pipe elbow region is complex. Subsequent reflected and transmitted waves are largely deformed due to mode conversions at the elbow. This prevents us to date from applying guided waves to the nondestructive evaluation of meandering pipeworks. Since theoretical development of guided wave propagation in a pipe is difficult, numerical modeling techniques are useful. We have introduced a semianalytical finite element method, a special modeling technique for guided wave propagation, because ordinary finite element methods require extremely long computational times and memory for such a long-range guided wave calculation. In this study, the semianalytical finite element method for curved pipes is developed. A curved cylindrical coordinate system is used for the curved pipe region, where a curved center axis of the pipe elbow region is an axis ( axis) of the coordinate system, instead of the straight axis ( axis) of the cylindrical coordinate system. Guided waves in the direction are described as a superposition of orthogonal functions. The calculation region is divided only in the thickness and circumferential directions. Using this calculation technique, echoes from the back wall beyond up to four elbows are discussed.
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August 2005
Research Papers
Guided Wave Propagation Mechanics Across a Pipe Elbow
Takahiro Hayashi,
Takahiro Hayashi
Department of Mechanical Engineering,
Nagoya Institute of Technology
, Nagoya, Japan
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Koichiro Kawashima,
Koichiro Kawashima
Ultrasonic Materials Diagnosis Laboratory
, Nagoya, Japan
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Zongqi Sun,
Zongqi Sun
General Electric Global Research Center
, Niskayuna, NY
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Joseph L. Rose
Joseph L. Rose
Department of Engineering Science and Mechanics,
The Pennsylvania State University
, University Park, PA
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Takahiro Hayashi
Department of Mechanical Engineering,
Nagoya Institute of Technology
, Nagoya, Japan
Koichiro Kawashima
Ultrasonic Materials Diagnosis Laboratory
, Nagoya, Japan
Zongqi Sun
General Electric Global Research Center
, Niskayuna, NY
Joseph L. Rose
Department of Engineering Science and Mechanics,
The Pennsylvania State University
, University Park, PAJ. Pressure Vessel Technol. Aug 2005, 127(3): 322-327 (6 pages)
Published Online: January 24, 2005
Article history
Received:
January 14, 2005
Revised:
January 24, 2005
Citation
Hayashi, T., Kawashima, K., Sun, Z., and Rose, J. L. (January 24, 2005). "Guided Wave Propagation Mechanics Across a Pipe Elbow." ASME. J. Pressure Vessel Technol. August 2005; 127(3): 322–327. https://doi.org/10.1115/1.1990210
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