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Graph Products Applied to the Analysis of Regular Structures

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Optimal Analysis of Structures by Concepts of Symmetry and Regularity
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Abstract

In spite of considerable advances in computational capability of computers in recent years, efficient methods for more time-saving solutions of structures are of great interest. Large problems arise in many scientific and engineering problems. While the basic mathematical ideas are independent of the size of the matrices, the numerical determination of the displacement and internal forces becomes more complicated as the dimensions of matrices increase and their sparsity decreases. The use of prefabrication in industrialised building construction often results in structures with regular patterns of elements exhibiting symmetry of various types, and special methods are beneficial for efficient solution of such problems.

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Kaveh, A. (2013). Graph Products Applied to the Analysis of Regular Structures. In: Optimal Analysis of Structures by Concepts of Symmetry and Regularity. Springer, Vienna. https://doi.org/10.1007/978-3-7091-1565-7_8

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  • DOI: https://doi.org/10.1007/978-3-7091-1565-7_8

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  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-1564-0

  • Online ISBN: 978-3-7091-1565-7

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