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Journal ArticleDOI

Network Analogy for Linear Structures

William R. Spillers
- 01 Aug 1963 - 
- Vol. 89, Iss: 4, pp 21-30
TLDR
A mathematical analogy is made between the network problem and the arbitrary linear structure that allows a formulation of the structure, using the graph theory, which corresponds to the node method for a network.
Abstract: 
A mathematical analogy is made between the network problem and the arbitrary linear structure that allows a formulation of the structure, using the graph theory, which corresponds to the node method for a network. The formulation may serve as a basis for a general computer program for structural analysis. It provides a simple means by which research concerning the solution of large networks may be directly applied to structures (for example, Kron's Methods).

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Journal ArticleDOI

Some results on sparse matrices

Robert K. Brayton, +2 more
- 13 Jan 1970 - 
TL;DR: This study suggests quantitatively how rapidly sparse matrices fill up for increasing densities, and emphasizes the necessity for reordering to minimize fill-in.
Journal ArticleDOI

On diakoptics: Tearing an arbitrary system

W. R. Spillers
- 01 Jan 1965 - 
TL;DR: In this paper, it is shown that decreasing the size of the sub-units in if-partitioning increases its efficiency; carried to the limit, this reduction results in a Gaussian elimination scheme.
Proceedings Article

Derivation of methods and knowledge in structures by combinatorial representations

N. Ta'aseh, +1 more
TL;DR: An analysis method for skeletal structures is derived from the known method in graph theory, called - mixed variable method, while for the first time being applied to multidimensional systems.
Journal ArticleDOI

The simulation of structural and thermal systems via flow graphs

Larry J. Feeser, +1 more
- 01 Sep 1967 - 
TL;DR: The simulation of physical systems by oriented flow graphs treats the system as an entity in which the physical characteristics are transformed topologically into graph representations, and can be an aid in the study of design.

Truss analysis using singular imbedding method

Thiem Jenngamkul
TL;DR: In this paper, the Singular Imbedding Method is applied and formulated to handle joint displacement, member force, and member stress constraints in trussed structures, and the unknown member areas are determined from the final structural stiffness matrix equations.