Boundary value problem on a weighted graph relevant to the static analysis of truss structures. (English) Zbl 1468.74032
Summary: The boundary value problem on a weighted graph relevant to the static analysis of truss structures with linear elastic bars is presented along with strategies for assembling the corresponding algebraic system of equations.
MSC:
| 74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |
| 74K99 | Thin bodies, structures |
| 74S50 | Applications of graph theory in solid mechanics |
| 05C90 | Applications of graph theory |
| 34B45 | Boundary value problems on graphs and networks for ordinary differential equations |
Keywords:
linear elastic bar; calculus on graphs; truss structure; boundary value problem; algebraic system of equations; LaplacianReferences:
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