3D contact patch measurement inside rolling tyres
Introduction
The tyre contact patch is an important region in both tyre and terramechanics research. Tyre deformation captures the force input to the vehicle. Thus, a better measurement of the deformation of the contact patch will provide more information which can be used to improve tyre modelling, model parameterisation and validation. For tyre model parameterisation the tyre rolling radius is also required to estimate the tyre longitudinal slip. On hard, flat terrain the assumption of a constant tyre roll radius is often made. In Miller et al. (2001), the rolling radius is estimated using the wheel speed and GPS speed measurement. However, this technique can only be performed under the assumption of no slip and this assumption is only valid when the vehicle is not braking or accelerating. Thus, the rolling radius is assumed constant during the duration of a braking or accelerating test, however due to load transfer the rolling radius changes which can lead to incorrect slip measurements. The modelling of tyres over soft soil also requires the knowledge of the deformation of the soil which is generally inferred from measuring the soil before and after being driven over. Measurement of the soil deformation while the wheel is in contact with the soil can also lead to better tyre-terrain interaction and soil models. The soil deformation, during tyre contact, could be determined by measurements of the un-deformed soil and the tyre deformation.The size and shape of the deformed region is difficult to measure under dynamic conditions as the region is not directly observable from outside the tyre. Numerous attempts have been made to measure deformation from inside the tyre using a variety of different strategies, however these attempts have been limited to either measuring single points or very small areas.
The simplest method in use is through direct observation by allowing the tyre to roll over a sheet of glass and recording images of the resultant deformation (Potenger, 2006) which, while successful, is limited in terms of attainable speeds, surface roughness, friction coefficient and vehicle manoeuvring. Other researchers have attempted to solve these problems by implementing tyre sensor systems which record the deformation on the inner surface of the tyre. The technique also only measures the size of the contact patch on a flat surface and has limited use on real terrain. Positioning a sensor on the inside of the tyre allows direct measurement of tyre deformation over varied terrain and a wider range of vehicle manoeuvres. However most techniques implemented thus far have the limitation that the sensors measured a very small area or even a single point.
Several examples of these small area measurement systems are found in literature. Magori et al. (1998) developed an ultrasonic sensor for vertical deflection measurement. Pohl et al. (1999), used surface acoustic wave sensors that was capable of measuring lateral and longitudinal deflection of a single tread element. An optical sensor, utilising a Light Emitting Diode (LED) positioned on the tyre surface allowed measurement of vertical and lateral deflection (Tuononen, 2009). A flexible capacitive sensor was developed by Matsuzaki and Todoroki (2007) which measured the strain in a small area of the tyre carcass. Xiong and Tuononen (2015) created a system which uses a line scan laser profilometer inside the tire to capture the inner profile of sidewall and tread. This system was successful at accurately measuring the inner profile and aimed to use the tread deformation to measure rolling resistance. These systems all suffer from the drawback of only having a useful sample data once per revolution as the sensors are fixed to either the tyre carcass or the inside of the rim.
An alternative was developed by Sandu et al. (2012) who used multiple infrared emitting diodes positioned around the inner surface of the tyre to gain a more complete picture of the deformation when tested in a terramechanics rig. The first true attempt to utilise a camera as sensing equipment was implemented by Hiraoka et al. (2009) to measure in-plane strain and out of plane displacement in a tyre. This principle was slightly altered to improve results by Matsuzaki et al. (2010) to provide improved surface features for image correlation. Another application of cameras for tyre measurement is found in Green (2011) where a single camera, along with a random speckle pattern, is used to measure deformation on a larger area. These methods, while proving the viability of cameras as a measurement technique, fail to capture the contact patch continuously as the tyre rotates.
This paper describes the design, implementation, and testing of a system which allows the entire deformed area inside a tyre to be measured using a pair of inexpensive, off-the-shelf digital cameras. The cameras capture images which are processed with a dense stereo correspondence algorithm to produce three dimensional (3D) data points representing the inner surface of the tyre. The system includes a mechanism to ensure that the cameras observe the deformed area at all times, lights to illuminate the area and a data acquisition system to record the images.
The system is a proof of concept design which aims to investigate the viability of using stereo cameras inside a tyre as a measurement technique for dynamic deformation, as well as to develop the experience and algorithms required to extract useful data from the raw camera images. Additionally the study aims to produce data which is currently unavailable to researchers in the vehicle dynamics and terramechanics communities and discover paths for future research. The system can not only be used to determine the shape of the tyre deformation but also may enable the measurement of the longitudinal or lateral deformation during traction or turning manoeuvres and the contact velocity profile from within the tyre using various DIC algorithms.
Section snippets
Computer vision techniques
Digital cameras function by recording light intensity at discrete points on an image sensor. The image sensor is comprised of photodiodes arranged in a two dimensional matrix. Each matrix location is referred to as a pixel. Each photodiode records the intensity of the light falling on the sensor at the instant it is exposed. The structured nature of digital images led to the emergence of the computer vision field which seeks to leverage the processing power of computers to analyse and extract
Image capture system
To enable the stereo cameras to continuously measure deformation inside a tyre an entirely mechanical stabilisation system was developed to ensure that the cameras observe the area of interest at all times. The system also provides lighting and data acquisition capabilities.
Testing
The cameras were calibrated to remove any distortion caused by the wide angle lenses and to determine the rotations and translation between the coordinate systems of the two cameras. This information was used to calculate rectification transforms to remove any vertical disparity from the images. The calibration information and rectification transforms were stored in a calibration file.
The measurement system was bolted to the rear right hub of a Land Rover Defender 110 off-road vehicle as shown
Conclusions
This paper described the design, construction and testing of a system capable of measuring tyre deformation (at the contact region) from inside a rolling tyre. The design include a mechanism for stabilising the cameras while the wheel rotates, a lighting system, and on board data acquisition. The system was put through a series of low speed tests to evaluate its measurement capability.
The results produced by the system show the power of stereovision as a tyre deformation measurement technique
Acknowledgements
The research documented in this paper was supported by the US Army ERDC International Research Office under Grant W911NF-14-1-0590.
References (21)
- et al.
Kinematics and statics of a coupled epicyclic spur-gear train
Mech. Machine Theory
(1972) - et al.
Wireless flexible capacitive sensor based on ultra-flexible epoxy resin for strain measurement of automobile tires
Sensors Actuat. A: Phys.
(2007) - et al.
Rolling deformation of truck tires: measurement and analysis using a tire sensing approach
J. Terramech.
(2015) A Non-contact Method for Sensing Tire Contact Patch Deformation Using a Monocular Vision System and Speckled Image Tracking
(2011)- et al.
Multiple View Geometry in Computer Vision
(2003) - et al.
Concurrent monitoring of in-plane strain and out-of-plane displacement of tire using digital image correlation method
J. Solid Mech. Mater. Eng.
(2009) Accurate and efficient stereo processing by semi-global matching and mutual information
- IEI, 2015. IEI World....
- Kowa, 2015. Kowa LM4NCL....
- et al.
On-line determination of tyre deformation, a novel sensor principle
Cited by (16)
Vision-based tire deformation and vehicle-bridge contact force measurement
2021, Measurement: Journal of the International Measurement ConfederationFull-field and point strain measurement via the inner surface of a rolling large lug tyre
2021, Journal of TerramechanicsCitation Excerpt :A strain-based tyre measurement system, developed by the Vehicle Dynamics Group at the University of Pretoria, provides an in-tyre measurement system of the inner tyre surface. The system, initially developed by Guthrie et al. (2017a), Guthrie et al. (2017b), comprises of two stereo cameras and an on-board computer mounted on a stabilisation mechanism within the tyre. The data acquisition system makes use of two high speed PointGrey Flea3 (FL3-U3-13Y3M-C) cameras with Kowa LMN4NCL wide angle lenses to capture the entire region in contact with the terrain.
Mobile vehicles with extra-low pressure tires in the transport infrastructure of the Arctic region and northern territories of the Russian Federation
2021, Transportation Research ProcediaFull-field strain measurements of the inside of an agricultural tyre using digital image correlation
2020, Journal of TerramechanicsCitation Excerpt :Most of the studies also perform measurements on road tyres with almost no work performed on agricultural tyres with large lugs. In this study the works of Guthrie et al. (2017) and Green (2011) are combined by using a stereo vision based measurement system to measure the plane strain on the inside of the tyre while accounting for the out of plane motion. The study also performs the measurements on a large lugged agricultural tyre as currently no such study exists in literature, as all current studies make use of passenger tyres with relatively smooth tread.
An in-wheel sensor for monitoring tire-terrain interaction: Development and laboratory testing
2019, Journal of Terramechanics