Application of graph theory to the determination of potential energy of systems consisting of rigid bodies and springs

DOI10.1016/0016-0032(87)90049-4zbMath0659.70002OpenAlexW2071267113MaRDI QIDQ1112633

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)90049-4

zbMATH Keywords

topological tree structureapplication of graph theorykinetic energy of rigid body systemspotential energy of gravity forcespotential energy of springssimple linear translational springs

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 (4)

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. II: Determination of generalized forces for a class of systems consisting of particles and springs ⋮ Graph theoretical approach. III: Equations of motion of a class of constrained particle systems

Cites Work

• Determination of Christoffel symbols of the first kind for a class of rigid body systems by topological considerations
• Application of graph theory to the determination of kinetic energy of rigid body systems
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