Planar Multibody Dynamics: Formulation, Programming with MATLAB®, and Applications, Second Edition, provides sets of methodologies for analyzing the dynamics of mechanical systems, such as mechanisms and machineries, with coverage of both classical and modern principles. Using clear and concise language, the text introduces fundamental theories, computational methods, and program development for analyzing simple to complex systems. MATLAB is used throughout, with examples beginning with basic commands before introducing students to more advanced programming techniques. The simple programs developed in each chapter come together to form complete programs for different types of analysis. Features Two new chapters on free-body diagram and vector-loop concepts demonstrate that the modern computational techniques of formulating the equations of motion is merely an organized and systematic interpretation of the classical methods A new chapter on modeling impact between rigid bodies is based on two concepts known as continuous and piecewise methods A thorough discussion on modeling friction and the associated computational issues The short MATLAB® programs that are listed in the book can be downloaded from a companion website Several other MATLAB® programs and their user manuals can be downloaded from the companion website including: a general purpose program for kinematic, inverse dynamic, and forward dynamic analysis; a semi-general-purpose program that allows student to experiment with his or her own formulation of equations of motion; a special-purpose program for kinematic and inverse dynamic analysis of four-bar mechanisms The preceding three sets of programs contain animation capabilities for easy visualization of the simulated motion A greater range of examples, problems, and projects

Written by Parviz Nikravesh, one of the world's best known experts in multibody dynamics, Planar Multibody Dynamics: Formulation, Programming, and Applications enhances the quality and ease of design education with extensive use of the latest computerized design tools combined with coverage of classical design and dynamics of machinery princ

This book analyzes several compliant contact force models within the context of multibody dynamics, while also revisiting the main issues associated with fundamental contact mechanics. In particular, it presents various contact force models, from linear to nonlinear, from purely elastic to dissipative, and describes their parameters. Addressing the different numerical methods and algorithms for contact problems in multibody systems, the book describes the gross motion of multibody systems by using a two-dimensional formulation based on the absolute coordinates and employs different contact models to represent contact-impact events. Results for selected planar multibody mechanical systems are presented and utilized to discuss the main assumptions and procedures adopted throughout this work. The material provided here indicates that the prediction of the dynamic behavior of mechanical systems involving contact-impact strongly depends on the choice of contact force model. In short, the book provides a comprehensive resource for the multibody dynamics community and beyond on modeling contact forces and the dynamics of mechanical systems undergoing contact-impact events.

This book has evolved from the passionate desire of the authors in using the modern concepts of multibody dynamics for the design improvement of the machineries used in the rural sectors of India and The World. In this connection, the first author took up his doctoral research in 2003 whose findings have resulted in this book. It is expected that such developments will lead to a new research direction MuDRA, an acronym given by the authors to “Multibody Dynamics for Rural Applications. ” The way Mu- DRA is pronounced it means ‘money’ in many Indian languages. It is hoped that practicing MuDRA will save or generate money for the rural people either by saving energy consumption of their machines or making their products cheaper to manufacture, hence, generating more money for their livelihood. In this book, the initial focus was to improve the dynamic behavior of carpet scrapping machines used to wash newly woven hand-knotted c- pets of India. However, the concepts and methodologies presented in the book are equally applicable to non-rural machineries, be they robots or - tomobiles or something else. The dynamic modeling used in this book to compute the inertia-induced and constraint forces for the carpet scrapping machine is based on the concept of the decoupled natural orthogonal c- plement (DeNOC) matrices. The concept is originally proposed by the second author for the dynamics modeling and simulation of serial and - rallel-type multibody systems, e. g.

This textbook – a result of the author’s many years of research and teaching – brings together diverse concepts of the versatile tool of multibody dynamics, combining the efforts of many researchers in the field of mechanics.

This book presents suitable methodologies for the dynamic analysis of multibody mechanical systems with joints. It contains studies and case studies of real and imperfect joints. The book is intended for researchers, engineers, and graduate students in applied and computational mechanics.

Planar Multibody Dynamics: Formulation, Programming with MATLAB®, and Applications, Second Edition, provides sets of methodologies for analyzing the dynamics of mechanical systems, such as mechanisms and machineries, with coverage of both classical and modern principles. Using clear and concise language, the text introduces fundamental theories, computational methods, and program development for analyzing simple to complex systems. MATLAB is used throughout, with examples beginning with basic commands before introducing students to more advanced programming techniques. The simple programs developed in each chapter come together to form complete programs for different types of analysis. Features Two new chapters on free-body diagram and vector-loop concepts demonstrate that the modern computational techniques of formulating the equations of motion is merely an organized and systematic interpretation of the classical methods A new chapter on modeling impact between rigid bodies is based on two concepts known as continuous and piecewise methods A thorough discussion on modeling friction and the associated computational issues The short MATLAB® programs that are listed in the book can be downloaded from a companion website Several other MATLAB® programs and their user manuals can be downloaded from the companion website including: a general purpose program for kinematic, inverse dynamic, and forward dynamic analysis; a semi-general-purpose program that allows student to experiment with his or her own formulation of equations of motion; a special-purpose program for kinematic and inverse dynamic analysis of four-bar mechanisms The preceding three sets of programs contain animation capabilities for easy visualization of the simulated motion A greater range of examples, problems, and projects