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The aim of this book is to present important software tools, basic concepts, methods, and highly sophisticated applications of computerized symbolic manipulation to mechanics problems. An overview about general-purpose symbolic software is followed by general guidelines how to develop and implement high-quality computer algebra code. The theoretical background including modeling techniques for mechanical systems is provided which allows for the computer aided generation of the symbolic equation of motion for multibody systems. It is shown how the governing equations for different types of problems in structural mechanics can be automatically derived and how to implement finite element techniques via computer algebra software. Perturbation methods as a very powerful approach for nonlinear problems are discussed in detail and are demonstrated for a number of applications. The applications covered in this book represent some of the most advanced topics in the rapidly growing field of research on symbolic computation.

Practical Multiscaling covers fundamental modelling techniques aimed at bridging diverse temporal and spatial scales ranging from the atomic level to a full-scale product level. It focuses on practical multiscale methods that account for fine-scale (material) details but do not require their precise resolution. The text material evolved from over 20 years of teaching experience at Rensselaer and Columbia University, as well as from practical experience gained in the application of multiscale software. This book comprehensively covers theory and implementation, providing a detailed exposition of the state-of-the-art multiscale theories and their insertion into conventional (single-scale) finite element code architecture. The robustness and design aspects of multiscale methods are also emphasised, which is accomplished via four building blocks: upscaling of information, systematic reduction of information, characterization of information utilizing experimental data, and material optimization. To ensure the reader gains hands-on experience, a companion website hosting a lite version of the multiscale design software (MDS-Lite) is available. Key features: Combines fundamental theory and practical methods of multiscale modelling Covers the state-of-the-art multiscale theories and examines their practical usability in design Covers applications of multiscale methods Accompanied by a continuously updated website hosting the multiscale design software Illustrated with colour images Practical Multiscaling is an ideal textbook for graduate students studying multiscale science and engineering. It is also a must-have reference for government laboratories, researchers and practitioners in civil, aerospace, pharmaceutical, electronics, and automotive industries, and commercial software vendors.

The articles in this book present advanced soft methods related to genetic and evolutionary algorithms, immune systems, formulation of deterministic neural networks and Bayesian NN. Many attention is paid to hybrid systems for inverse analysis fusing soft methods and the finite element method. Numerical efficiency of these soft methods is illustrated on the analysis and design of complex engineering structures.

Modelling is an activity that is found in every domain of research and science, and takes place even when we are not aware of it. The role of modelling and the quality of models are extremely important not only in engineering but for science in general.'Modelling in Mechanical Engineering and Mechatronics'presents a model-centred approach focusing on distributed development and use of autonomous intelligent software models, particularly the efficiency of the models, and their interaction and integration into distributed autonomous intelligent systems. In order to systematise the available knowledge, a domain ontology is presented; a subset of which is used to create a modelling theory based on knowledge and experience in the areas of software engineering, mechanical engineering and mechatronics. This holistic view of modelling explains the purpose and the essence of modelling, as well as the benefits that are to be expected. It discusses the relations to other branches of engineering and science and as a result, it demonstrates strategies, methods and tools for unleashing the full power of modelling.'Modelling in Mechanical Engineering and Mechatronics'considers the viewpoints of many different experts: the modeller, engineer, system architect, software developer, and users of the models and as such will be of interest to all these people. Moreover, it attempts to bridge the gaps between modelling, engineering, computer science, knowledge representation, software engineering, model integration, standardisation and production engineering. The aim is to instruct the reader how to efficiently simulate sophisticated products and processes in mechanical engineering in view of their continuously increasing complexity in a modern knowledge-based society.