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2: Force, length and velocity relationships in a Hill-type muscle model. Left: Normalised active (solid line) and passive (dotted line) force as a function of normalised muscle length. Right: Normalised force as a function of normalised shortening/lengthening velocity. 

2: Force, length and velocity relationships in a Hill-type muscle model. Left: Normalised active (solid line) and passive (dotted line) force as a function of normalised muscle length. Right: Normalised force as a function of normalised shortening/lengthening velocity. 

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Thesis
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Fatalities and injuries to car occupants in motor vehicle crashes continue to be a serious global socio-economic issue. Advanced safety systems that provide improved occupant protection and crash mitigation have the potential to reduce this burden. For the development and virtual assessment of these systems, numerical human body models (HBMs) that...

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Citations

... Since many active FE HBMs focus on a specific crash scenario, early models used open-loop control with pre-defined muscle activation patterns that were calculated offline from experimental EMG or by solving an application-specific optimization problem [46]. Closed-loop reflex control was later introduced to improve the response of the arms [89,127], and the neck [86] during crash simulations. ...
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Significant trends in the vehicle industry are autonomous driving, micromobility, electrification and the increased use of shared mobility solutions. These new vehicle automation and mobility classes lead to a larger number of occupant positions, interiors and load directions. As safety systems interact with and protect occupants, it is essential to place the human, with its variability and vulnerability, at the center of the design and operation of these systems. Digital human body models (HBMs) can help meet these requirements and are therefore increasingly being integrated into the development of new vehicle models. This contribution provides an overview of current HBMs and their applications in vehicle safety in different driving modes. The authors briefly introduce the underlying mathematical methods and present a selection of HBMs to the reader. An overview table with guideline values for simulation times, common applications and available variants of the models is provided. To provide insight into the broad application of HBMs, the authors present three case studies in the field of vehicle safety: (i) in-crash finite element simulations and injuries of riders on a motorcycle; (ii) scenario-based assessment of the active pre-crash behavior of occupants with the Madymo multibody HBM; (iii) prediction of human behavior in a take-over scenario using the EMMA model.
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To develop this strategy, the LS-DYNA PID Control function (PIDCTL) which can be defined inside the *DEFINE_CURVE_FUNCTION keyword was utilized. The method of controlling muscles activation with reflexive feedback control was adopted from Östh, et.al [10] and Olafsdottir [11]. To mimic the human body’s vestibular system, the coordinates of two nodes (Head Center of Gravity node and T1 node) and a reference node were sampled at specific times reference and used to define the controller vector. An angle was calculated between these two vectors. The error angle between the current measured value and referenced time value was calculated. This error signal then was delayed, mimicking the human’s neural delay. To model this neural delay, the DELAY function inside *DEFINE_CURVE_FUNCTION was applied. The PID controllers were given the delayed-error signal from the previous calculation and used to compute a control signal with an objective of zero error. A calibration study was conducted to identify reasonable gain values of the controller so that the head displacements of the model in X and Z direction match within ± 1 Standard Deviation (SD) head displacements of the volunteer data. The simulation results had shown that the LS-DYNA PIDCTL and DELAY function were successfully utilized for controlling the model muscle’s activation. Keywords: PID control, feedback control, cervical muscles, finite element, human body model. References 1. Östh, J., Vazquez, M. M., Svensson, M. Y., Linder, A., & Brolin, K. (2016). Development of a 50th percentile female human body model. 2016 IRCOBI Conference Proceedings - International Research Council on the Biomechanics of Injury, 573–575. 2. Östh, J., Vazquez, M. M., Linder, A., Svensson, M. Y., & Brolin, K. (2017). The VIVA Open HBM Finite Element 50th Percentile Female Occupant Model: Whole Body Model Development and Kinematic Validation. 2017 IRCOBI Conference Proceedings - International Research Council on the Biomechanics of Injury, 443-466. 3. Östh, J., Mendoza-Vazquez, M., Sato, F., Svensson, M. Y., Linder, A., & Brolin, K. (2017). A female head–neck model for rear impact simulations. Journal of Biomechanics, 51, 49–56. https://doi.org/10.1016/j.jbiomech.2016.11.066 4. Hill, A. V. (1938). The Heat of Shortening and the Dynamic Constants of Muscle. Proceedings of the Royal Society B: Biological Sciences, 126(843), 136–195. https://doi.org/10.1098/rspb.1938.0050 5. Livermore Software Technology Corporation. (2016). LS-DYNA Keyword User’s Manual, R9.0. Livermore Software Technology Corporation (Vol. I). 6. Keisser, C., & Yeh, I. (2017). Control System in LS-DYNA. The 11th European LS-DYNA Conference 2017. 7. Stander, N., Roux, W., Goel, T., Eggleston, T., & Craig, K. (2010). LS-OPT ® User’s Manual - A Design Optimization and Probabilistic Analysis Tool. 8. Ono, K., Ejima, S., Suzuki, Y., Kaneoka, K., Fukushima, M., & Ujihashi, S. (2006). Prediction of Neck Injury Risk Based on the Analysis of Localized Cervical Vertebral Motion of Human Volunteers During Low-Speed Rear Impacts. IRCOBI Conference Proceedings, 103–113. 9. Sato, F., Nakajima, T., Ono, K., & Svensson, M. (2014). Dynamic Cervical Vertebral Motion of Female and Male Volunteers and Analysis of its Interaction with Head/Neck/Torso Behavior during Low-Speed Rear. IRCOBI Conference Proceedings, 227–249. 10. Östh, J., Brolin, K., & Happee, R. (2012). Active muscle response using feedback control of a finite element human arm model. Computer Methods in Biomechanics and Biomedical Engineering, 15(4), 347–361. https://doi.org/10.1080/10255842.2010.535523 11. Ólafsdóttir, J. M. (2017) Muscle Responses in Dynamic Events- Volunteer Experiments And Numerical Modelling For The Advancement Of Human Body Models For Vehicle Safety Assessment, Ph.D Thesis In Machine And Vehicle Systems, Chalmers University of Technology. Acknowledgement: This study was funded by the Swedish Governmental Agency for Innovation Systems (VINNOVA). The simulations were performed on resources at Chalmers Centre for Computational Science and Engineering (C3SE) provided by the Swedish National Infrastructure for Computing (SNIC) and carried out at Vehicle and Traffic Safety Research Centre at Chalmers (SAFER). The authors would like to thank the project members: Astrid Linder, Mats Svensson, Lotta Jacobson, Anders Kullgren and Anders Flögard.
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