Ebook: Dynamic Simulations of Multibody Systems

Physically based modeling is increasingly gaining acceptance within the computer graphics and mechanical engineering industries as a way of achiev­ ing realistic animations and accurate simulations of complex systems. Such complex systems are usually hard to animate using scripts, and difficult to analyze using conventional mechanics theory, which makes them perfect candidates for physically based modeling and simulation techniques. The field of physically based modeling is broad. It includes everything from modeling a ball rolling on the floor, to a car engine working, to a hang­ ing shirt being moved by a gust of wind. The theory varies from precise mathematical methods to purpose-specific approximated solutions that are mathematically incorrect, but produce realistic animations for the partic­ ular situation being considered. Depending on the case, an approximated solution might serve the purpose, however, there are times when approx­ imations are not admissible, and the use of accurate simulation engines is a requirement. Developing and implementing physically based dynamic­ simulation engines that are robust is difficult. The main reason is that it requires a breadth of knowledge in a diverse set of subjects, each of them standing alone as a broad and complex topic. Instead of attempting to address all types of simulation engines available in the broad area of physically based modeling, this book provides in-depth coverage of the most common simulation engines. These simulation engines restrict the general case of physically based modeling to the particular case wherein the objects interacting are either particles or rigid bodies.

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This book is a comprehensive introduction to the techniques needed to produce realistic simulations and animations of particle and rigid body systems. It focuses on both the theoretical and practical aspects of developing and implementing physically based dynamic simulation engines that can be used to generate convincing animations of physical events involving particles and rigid bodies, such as a jet flow of water pushing dry flowers away on a patio. It can also be used to produce accurate simulations of mechanical systems, such as a robotic parts feeder where parts are dropped on a conveyer belt and are positioned and aligned as they hit fences strategically placed on the conveyer and used to align the parts to a specific orientation.
The book was written for computer graphics, computer animation, computer-aided mechanical design, and modeling software developers who want to learn and incorporate physically based dynamic simulation features in their own systems.
All mathematical algorithms and implementations are described in detail in the appendices.

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This book is a comprehensive introduction to the techniques needed to produce realistic simulations and animations of particle and rigid body systems. It focuses on both the theoretical and practical aspects of developing and implementing physically based dynamic simulation engines that can be used to generate convincing animations of physical events involving particles and rigid bodies, such as a jet flow of water pushing dry flowers away on a patio. It can also be used to produce accurate simulations of mechanical systems, such as a robotic parts feeder where parts are dropped on a conveyer belt and are positioned and aligned as they hit fences strategically placed on the conveyer and used to align the parts to a specific orientation.
The book was written for computer graphics, computer animation, computer-aided mechanical design, and modeling software developers who want to learn and incorporate physically based dynamic simulation features in their own systems.
All mathematical algorithms and implementations are described in detail in the appendices.
Content:
Front Matter....Pages i-xv
Computational Dynamics....Pages 1-16
Hierarchical Representation of 3D Polyhedra....Pages 17-59
Particle Systems....Pages 61-153
Rigid-Body Systems....Pages 155-244
Articulated Rigid-Body Systems....Pages 245-263
Back Matter....Pages 265-379

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This book is a comprehensive introduction to the techniques needed to produce realistic simulations and animations of particle and rigid body systems. It focuses on both the theoretical and practical aspects of developing and implementing physically based dynamic simulation engines that can be used to generate convincing animations of physical events involving particles and rigid bodies, such as a jet flow of water pushing dry flowers away on a patio. It can also be used to produce accurate simulations of mechanical systems, such as a robotic parts feeder where parts are dropped on a conveyer belt and are positioned and aligned as they hit fences strategically placed on the conveyer and used to align the parts to a specific orientation.
The book was written for computer graphics, computer animation, computer-aided mechanical design, and modeling software developers who want to learn and incorporate physically based dynamic simulation features in their own systems.
All mathematical algorithms and implementations are described in detail in the appendices.
Content:
Front Matter....Pages i-xv
Computational Dynamics....Pages 1-16
Hierarchical Representation of 3D Polyhedra....Pages 17-59
Particle Systems....Pages 61-153
Rigid-Body Systems....Pages 155-244
Articulated Rigid-Body Systems....Pages 245-263
Back Matter....Pages 265-379
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