Buch, Englisch, 77 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 154 g
Modelling and Experimental Verification
Buch, Englisch, 77 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 154 g
Reihe: SpringerBriefs in Applied Sciences and Technology
ISBN: 978-3-319-95383-0
Verlag: Springer International Publishing
This book is devoted to the problem of modeling and controlling a 3D dynamical system consisting of a single-wheeled vehicle, namely a unicycle and the cyclist (unicyclist) riding it. The equations of motion are derived with the aid of the rarely used Boltzmann–Hamel Equations in Matrix Form, which are based on quasi-velocities. The Matrix Form allows Hamel coefficients to be automatically generated, and eliminates all the difficulties associated with determining these quantities. The equations of motion aresolved by means of Wolfram Mathematica. To more faithfully represent the unicyclist as part of the model, the model is extended according to the main principles of biomechanics. The impact of the pneumatic tire is investigated using the Pacejka Magic Formula model including experimental determination of the stiffness coefficient.
The aim of control is to maintain the unicycle–unicyclist system in an unstable equilibrium around a given angular position. The control system, based on LQ Regulator, is applied in Wolfram Mathematica.
Lastly, experimental validation, 3D motion capture using software OptiTrack – Motive:Body and high-speed cameras are employed to test the model’s legitimacy. The description of the unicycle–unicyclist system dynamical model, simulation results, and experimental validation are all presented in detail.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik Regelungstechnik
- Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Vorklinische Medizin: Grundlagenfächer Biomechanik
- Naturwissenschaften Physik Mechanik
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik
- Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
Weitere Infos & Material
PRELIMINARY:1 Introductions 1.1 Unicycle - one wheel vehicle 1.2 Types of the unicycles 1.3 Unicycle in technical aspect 2 Literature Survey 3 Motivations 4 Euler angles 5 The model of the Unicycle-Unicyclist System 6 The parameters of the model 6.1 The unicycle parameters 6.2 Unicyclist's parameters and biomechanics 7 The Tyre modelling 7.1 Tyre stiness coecient. 7.2 Pacejka's Magic Formula 8 Boltzman-Hammel Equations 9 Energy of the system 10 Equations of the model dynamics 11 The control system 12 Numerical Simulations 13 Experimental validation of the model 13.1 2D motion capture 13.2 3D motion capture 14 Conclusions