Impact Velocity Measurement Method Based on Trajectory and Impact Position
The impact velocity of falling weight is an instantaneous quantity. Currently, measurement of impact velocity relies on high-speed sensors to capture the moment of impact. The trajectory-position measurement method (TPMM) is proposed in this study. The main steps are: (1) The impact position is used...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-10-01
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| Series: | Sensors |
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| Online Access: | https://www.mdpi.com/1424-8220/22/21/8288 |
| _version_ | 1797466502962610176 |
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| author | Hui Liu Jingfan Wang Yuantao Wu |
| author_facet | Hui Liu Jingfan Wang Yuantao Wu |
| author_sort | Hui Liu |
| collection | DOAJ |
| description | The impact velocity of falling weight is an instantaneous quantity. Currently, measurement of impact velocity relies on high-speed sensors to capture the moment of impact. The trajectory-position measurement method (TPMM) is proposed in this study. The main steps are: (1) The impact position is used to capture the impact time. It can be measured when the falling weight is stationary. (2) The discrete falling trajectory is measured and a new empirical regression algorithm is proposed to fit the expression of falling trajectory. (3) The impact velocity is obtained by taking the impact time into the first derivative of the trajectory expression. For 1–5 m falling height, the simulation shows that the relative maximum error and relative expanded uncertainty of the proposed method are less than 0.481% and 0.442%, respectively. Then, the actual experiment is carried out to verify the simulation. The proposed method has high accuracy and low uncertainty. The reasons are: (1) Only a low-speed displacement sensor is need for impact velocity measurement. It is easier to improve accuracy and stability of a low-speed sensor. (2) The empirical regression algorithm can improve the stability of falling trajectory fitting. |
| first_indexed | 2024-03-09T18:39:45Z |
| format | Article |
| id | doaj.art-08eaf89a17bb40418c7ab66f330dfc24 |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-03-09T18:39:45Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-08eaf89a17bb40418c7ab66f330dfc242023-11-24T06:45:41ZengMDPI AGSensors1424-82202022-10-012221828810.3390/s22218288Impact Velocity Measurement Method Based on Trajectory and Impact PositionHui Liu0Jingfan Wang1Yuantao Wu2School of Automation, Xi’an University of Posts & Telecommunications, Xi’an 710121, ChinaShaanxi Institute of Metrology Science, Xi’an 710100, ChinaSchool of Automation, Xi’an University of Posts & Telecommunications, Xi’an 710121, ChinaThe impact velocity of falling weight is an instantaneous quantity. Currently, measurement of impact velocity relies on high-speed sensors to capture the moment of impact. The trajectory-position measurement method (TPMM) is proposed in this study. The main steps are: (1) The impact position is used to capture the impact time. It can be measured when the falling weight is stationary. (2) The discrete falling trajectory is measured and a new empirical regression algorithm is proposed to fit the expression of falling trajectory. (3) The impact velocity is obtained by taking the impact time into the first derivative of the trajectory expression. For 1–5 m falling height, the simulation shows that the relative maximum error and relative expanded uncertainty of the proposed method are less than 0.481% and 0.442%, respectively. Then, the actual experiment is carried out to verify the simulation. The proposed method has high accuracy and low uncertainty. The reasons are: (1) Only a low-speed displacement sensor is need for impact velocity measurement. It is easier to improve accuracy and stability of a low-speed sensor. (2) The empirical regression algorithm can improve the stability of falling trajectory fitting.https://www.mdpi.com/1424-8220/22/21/8288impact velocitylow-speed sensorfalling trajectoryimpact position |
| spellingShingle | Hui Liu Jingfan Wang Yuantao Wu Impact Velocity Measurement Method Based on Trajectory and Impact Position Sensors impact velocity low-speed sensor falling trajectory impact position |
| title | Impact Velocity Measurement Method Based on Trajectory and Impact Position |
| title_full | Impact Velocity Measurement Method Based on Trajectory and Impact Position |
| title_fullStr | Impact Velocity Measurement Method Based on Trajectory and Impact Position |
| title_full_unstemmed | Impact Velocity Measurement Method Based on Trajectory and Impact Position |
| title_short | Impact Velocity Measurement Method Based on Trajectory and Impact Position |
| title_sort | impact velocity measurement method based on trajectory and impact position |
| topic | impact velocity low-speed sensor falling trajectory impact position |
| url | https://www.mdpi.com/1424-8220/22/21/8288 |
| work_keys_str_mv | AT huiliu impactvelocitymeasurementmethodbasedontrajectoryandimpactposition AT jingfanwang impactvelocitymeasurementmethodbasedontrajectoryandimpactposition AT yuantaowu impactvelocitymeasurementmethodbasedontrajectoryandimpactposition |