Application of graph theory to the determination of kinetic energy of rigid body systems

DOI10.1016/0016-0032(87)90048-2zbMath0643.70002OpenAlexW1993952347MaRDI QIDQ1102139

Krzysztof Arczewski

Publication date: 1987

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(87)90048-2

zbMATH Keywords

graph theoryplanar motiontree structurepath matrixkinetic energy of rigid body systemssix degree-of-freedom rigid body system

Mathematics Subject Classification ID

Graph theory (including graph drawing) in computer science (68R10) Kinematics of mechanisms and robots (70B15) Applications of graph theory to circuits and networks (94C15)

Related Items (8)

Computer aided analysis and optimal design of mechanical systems using vector-network techniques ⋮ Application of graph theory to the determination of potential energy of systems consisting of rigid bodies and springs ⋮ Analysis of multibody systems with flexible plates using variational graph-theoretic methods ⋮ Friction models and stress recovery methods in vehicle dynamics modelling ⋮ Application of graph theory to the mathematical modelling of a class of rigid body systems ⋮ Graph theoretical approach. I: Determination of kinetic energy for a class of particle systems ⋮ Graph theoretical approach. III: Equations of motion of a class of constrained particle systems ⋮ Computerized generation of motion equations using variational graph-theoretic methods

Cites Work

• Unnamed Item
• Determination of Christoffel symbols of the first kind for a class of rigid body systems by topological considerations

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