2.5.1 Spatial Rotation and Angular Velocity in General Form. 2.3 Linear Vector Functions and Second Order Tensors. 2.2.4 Properties of the Transformation Matrix. 2.2.3 Relationship Between Component Representations. įundamentals of Mathematics and Kinematics. 1.2.2 Commercial Vehicle Simulation Systems. 1.2.1 Vehicle Models and Application Areas. 1.1.3 Simulation and Simulation Environment. Duisburg, May 2014ĭieter Schramm Manfred Hiller Roberto Bardini We also thank Frederic Kracht for diligent proofreading and the solution of unsolvable problems incident to the secrets of contemporary word processor software. Amongst all persons who contributed by giving hints and sometimes simply asking the right questions we want to highlight in particular the indispensable contributions of Stephanie Meyer, Lawrence Louis and Michael Unterreiner who contributed with translation and proof reading of some chapters. The authors thank all persons who contributed to this edition of the book. This edition of the book is the English version of the second German edition. The reader should therefore have a basic understanding of mathematics, e.g., from the first three semesters’ study course in engineering or natural sciences. The modeling of Vehicle Dynamics is primarily based on mathematical methods used throughout the book. To the same extent it addresses development engineers and researches working on vehicle dynamics or apply associated simulation programs. The book is aimed at students and postgraduates in the field of engineering sciences who attend lectures or work on their thesis. The book describes in particular the modeling process from the real vehicle to the mathematical model as well as the validation of simulation results by means of selected applications. The reader will be enabled to develop own simulation models, supported to apply successfully commercial programs, to choose appropriate models and to understand and assess simulation results. The range of applications encompasses basic single track models as well as complex, spatial multibody systems. The main focus of this book is on the fundamentals of ‘‘Vehicle Dynamics’’ and the mathematical modeling and simulation of motor vehicles. Printed on acid-free paper Springer is part of Springer Science Business Media (Preface The publisher makes no warranty, express or implied, with respect to the material contained herein. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The use of general descriptive names, registered names, trademarks, service marks, etc. Violations are liable to prosecution under the respective Copyright Law. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Library of Congress Control Number: 2014942274 Springer-Verlag Berlin Heidelberg 2014 This work is subject to copyright. ĭieter Schramm Manfred Hiller Universität Duisburg-Essen Duisburg Germany.Dieter Schramm Manfred Hiller Roberto Bardini
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