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Over the past 25 years, Harold and Darren Franck have investigated hundreds of accidents involving vehicles of almost every shape, size, and type imaginable. In Mathematical Methods for Accident Reconstruction: A Forensic Engineering Perspective, these seasoned experts demonstrate the application of mathematics to modeling accident reconstructions
Automotive Accident Reconstruction: Practices and Principles introduces techniques for gathering information and interpreting evidence, and presents computer-based tools for analyzing crashes. This book provides theory, information and data sources, techniques of investigation, an interpretation of physical evidence, and practical tips for beginners. It also works as an ongoing reference for experienced reconstructionists. The book emphasizes three things: the theoretical foundation, the presentation of data sources, and the computer programs and spread sheets used to apply both theory and collected data in the reconstruction of actual crashes. It discusses the specific requirements of reconstructing rollover crashes, offers background in structural mechanics, and describes how structural mechanics and impact mechanics are applied to automobiles that crash. The text explores the treatment of crush energy when vehicles collide with each other and with fixed objects. It delves into various classes of crashes, and simulation models. The framework of the book starts backward in time, beginning with the analysis of post-crash vehicle motions that occurred without driver control. Applies time-reverse methods, in a detailed and rigorous way, to vehicle run-out trajectories, utilizing the available physical evidence Walks the reader through a collection of digital crash test data from public sources, with detailed instructions on how to process and filter the information Shows the reader how to build spread sheets detailing calculations involving crush energy and vehicle post-crash trajectory characteristics Contains a comprehensive treatment of crush energy This text can also serve as a resource for industry professionals, particularly with regard to the underlying physics.
Vehicle Collision Dynamics provides a unified framework and timely collection of up-to-date results on front crash, side crash and car to car crashes. The book is ideal as a reference, with an approach that's simple, clear, and easy to comprehend. As the mathematical and software-based modelling and analysis of vehicle crash scenarios have not been systematically investigated, this is an ideal source for further study. Numerous academic and industry studies have analyzed vehicle safety during physical crash scenarios, thus material responses during crashes serve as one of the most important performance indices for mechanical design problems. In addition to mathematical methodologies, this book provides thorough coverage of computer simulations, software-based modeling, and an analysis of methods capable of providing more flexibility. - Unifies existing and emerging concepts concerning vehicle crash dynamics - Provides a series of latest results in mathematical-based modeling from front and oblique perspectives - Contains almost everything needed to capture the essence of model development and analysis for vehicle crash - Includes both numerical and simulation results given in each chapter - Presents a comprehensive, up-to-date reference that encourages further study
Accident analysis is not like a classroom problem where the equations are selected and solved, and the matter is considered closed. In this line of forensics, engineering skill must be combined with skillful practice for the successful presentation of evidence to a jury. In this book, the author demonstrates the application of engineering skills, methods, and judgment for analyzing vehicular accidents. A definition of vehicular accident reconstruction and its role in the legal system is provided. General accident statistics are cited, and some general strategies for accident reconstruction are given, along with many examples and case studies. The author includes novel and unusual treatment of the momentum method and coefficient of restitution (which is not yet widespread in accident analysis) and shows how to select the best methods of analysis in a given accident reconstruction.
Governed by strict regulations and the intricate balance of complex interactions among variables, the application of mechanics to vehicle crashworthiness is not a simple task. It demands a solid understanding of the fundamentals, careful analysis, and practical knowledge of the tools and techniques of that analysis. Vehicle Crash Mechanics s
In this work the development of a new geometrically detailed finite element head model is presented. Special attention is given to sulci and gyri modelling, making this model more geometrically accurate than others currently available. The model was validated against experimental data from impact tests on cadavers, specifically intracranial pressure and brain motion. Its potential is shown in an accident reconstruction case with injury evaluation by effectively combining multibody kinematics and finite element methodology.
EVIDENCE IN TRAFFIC CRASH INVESTIGATION AND RECONSTRUCTION begins with a detailed description of the entire investigation process. The material then graduates into the various phases and levels of investigations, showing the levels of training and education normally associated with the levels of investigations and consequently the duties and responsibilities of the investigator and reconstructionist. Using narrative, schematics, and photographs, the mechanical inspection process is described in detail by identifying various vehicle parts, explanations of their functions, and methods of identifying failures. Human-related factors in traffic crash investigations are discussed at length, including the traffic crash viewed as a systems failure. Looming vulnerability, a recently developed theoretical construct that helps to describe and understand social, cognitive, organizational, and psychological mechanism, is described. Discussed also is the role of vision in driver performance; perception as a four-way process; perceptions and reactions; driver's reaction to stress; and the roles of pathologists, medical examiners, and coroners in traffic crash reconstruction. Who is an expert and expert evidence are described in detail. Errors that can occur in the investigation process and the tolerances that should be considered or allowed are explained. The manual also discusses the importance of calling upon the skills and advice of occupational specialists, such as reconstructionists, lawyers, traffic engineers, pathologists, medical examiners and others, to assist in the investigation and reconstruction of a crash that will ensure that the objectives of a thorough and complete investigation will be satisfied. Considerable effort has been made in the manual to explain how to identify, interpret and analyze all forms of highway marks and damages that can be used in the reconstruction of a vehicle-related crash. As a guide for investigators, prosecutors and defense attorneys, checkboxes are provided with many of the major topics that can be used as prompters in evaluating the thoroughness of an investigation or for those areas that might or might not need additional coverage at trial or litigation proceedings. To meet international requirements, mathematical references are described in both English (U.S.) and SI (metric) measurement systems, accompanied by various appendices covering symbols and mathematical conversions. Finally, there is a comprehensive quick-find index that takes the reader directly to any topic, formulae, or subject matter - or any combination of these.
Elementary set theory accustoms the students to mathematical abstraction, includes the standard constructions of relations, functions, and orderings, and leads to a discussion of the various orders of infinity. The material on logic covers not only the standard statement logic and first-order predicate logic but includes an introduction to formal systems, axiomatization, and model theory. The section on algebra is presented with an emphasis on lattices as well as Boolean and Heyting algebras. Background for recent research in natural language semantics includes sections on lambda-abstraction and generalized quantifiers. Chapters on automata theory and formal languages contain a discussion of languages between context-free and context-sensitive and form the background for much current work in syntactic theory and computational linguistics. The many exercises not only reinforce basic skills but offer an entry to linguistic applications of mathematical concepts. For upper-level undergraduate students and graduate students in theoretical linguistics, computer-science students with interests in computational linguistics, logic programming and artificial intelligence, mathematicians and logicians with interests in linguistics and the semantics of natural language.
In this third edition of Vehicle Accident Analysis & Reconstruction Methods, Raymond M. Brach and R. Matthew Brach have expanded and updated their essential work for professionals in the field of accident reconstruction. Most accidents can be reconstructed effectively using of calculations and investigative and experimental data: the authors present the latest scientific, engineering, and mathematical reconstruction methods, providing a firm scientific foundation for practitioners. Accidents that cannot be reconstructed using the methods in this book are rare. In recent decades, the field of crash reconstruction has been transformed through the use of technology. The advent of event data records (EDRs) on vehicles signaled the era of modern crash reconstruction, which utilizes the same physical evidence that was previously available as well as electronic data that are measured/captured before, during, and after the collision. There is increased demand for more professional and accurate reconstruction as more crash data is available from vehicle sensors. The third edition of this essential work includes a new chapter on the use of EDRs as well as examples using EDR data in accident reconstruction. Early chapters feature foundational material that is necessary for the understanding of vehicle collisions and vehicle motion; later chapters present applications of the methods and include example reconstructions. As a result, Vehicle Accident Analysis & Reconstruction Methods remains the definitive resource in accident reconstruction.