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Topological Transformations for Efficient Structural Analysis

Topological Transformations for Efficient Structural Analysis

Hardcover

Technology & EngineeringGeneral Computers

ISBN10: 3031122992
ISBN13: 9783031122996
Publisher: Springer
Published: Oct 24 2022
Pages: 190
Weight: 1.05
Height: 0.39 Width: 5.83 Depth: 8.98
Language: English

The author has published many papers and books on topological transformations for optimal analysis of structures, where many methods and algorithms are developed. However, the framework of this book generalizes many concepts and makes the previously developed methods conceptually more attractive. The aim of the present work is two folds. On the one hand, it shows to mathematicians how the apparently pure mathematical concepts can be applied to the efficient solution of problems in structural mechanics. On the other hand, it illustrates to engineers the important role of mathematical concepts for the solution of engineering problems. The present framework provides efficient means for looking at problems and developing ideas by transforming the models (structures, networks, systems) to other spaces (higher dimension, lower dimension, or identical dimension) to simplify the problems.

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