抄録
The authors previously proposed an on-line length measurement system for straight pipes using stationary waves which were generated in the pipes. The system modeled several modes of the stationary wave as state variables of a linear dynamic system and realized an on-line high-accurate pipe length measurement. This paper presents length measurement systems for curved and branch pipes by extending the pre-proposed measurement system for straight pipes. Experiments will show that an accurate pipe length measurement is realized with the methods.