This work presents methods that are designed for the analysis of large-scale structural systems. It applies abstract mathematical concepts from graph theory and topology to problems of computational mechanics. The methods presented lead to highly sparse, well-conditioned structural matrices of specified patterns, thereby achieving saving on computer storage and time, as well as increasing the accuracy of the solutions. Examples are given to illustrate the applications of the methods, and exercises are also included. The ...
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This work presents methods that are designed for the analysis of large-scale structural systems. It applies abstract mathematical concepts from graph theory and topology to problems of computational mechanics. The methods presented lead to highly sparse, well-conditioned structural matrices of specified patterns, thereby achieving saving on computer storage and time, as well as increasing the accuracy of the solutions. Examples are given to illustrate the applications of the methods, and exercises are also included. The methods are applicable to skeletal structures and finite element meshes, as well as other systems such as electrical and hydraulic networks.
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