This introduction to the theory of rigid structures explains how to analyze the performance of built and natural structures under loads, paying special attention to the simplifying role of symmetry. Written for researchers and graduate students in structural engineering and mathematics, and of interest to computer scientists and physicists.
This introduction to the theory of rigid structures explains how to analyze the performance of built and natural structures under loads, paying special attention to the simplifying role of symmetry. Written for researchers and graduate students in structural engineering and mathematics, and of interest to computer scientists and physicists.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Robert Connelly is professor of mathematics at Cornell University and a pioneer in the study of tensegrities. His research focuses on discrete geometry, computational geometry, and the rigidity of discrete structures and its relations to flexible surfaces, asteroid shapes, opening rulers, granular materials, and tensegrities. In 2012 he was elected a fellow of the American Mathematical Society.
Inhaltsangabe
1. Introduction Part I. The General Case: 2. Frameworks and Rigidity 3. First-Order Analysis of Frameworks 4. Tensegrities 5. Energy Functions and the Stress Matrix 6. Prestress Stability 7. Generic Frameworks 8. Finite Mechanisms Part II. Symmetric Structures: 9. Groups and Representation Theory 10. First-Order Symmetry Analysis 11. Generating Stable Symmetric Tensegrities A. Useful Theorems and Proofs.
1. Introduction Part I. The General Case: 2. Frameworks and Rigidity 3. First-Order Analysis of Frameworks 4. Tensegrities 5. Energy Functions and the Stress Matrix 6. Prestress Stability 7. Generic Frameworks 8. Finite Mechanisms Part II. Symmetric Structures: 9. Groups and Representation Theory 10. First-Order Symmetry Analysis 11. Generating Stable Symmetric Tensegrities A. Useful Theorems and Proofs.
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