Graph theoretical approach. I: Determination of kinetic energy for a class of particle systems
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Publication:1188041
DOI10.1016/0016-0032(92)90047-KzbMath0761.70016OpenAlexW2004646806MaRDI QIDQ1188041
Publication date: 3 August 1992
Published in: Journal of the Franklin Institute (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0016-0032(92)90047-k
algorithm of the equation-of-motion generationopen kinematic particle chainssystem-measurement structure
Applications of graph theory (05C90) Holonomic systems related to the dynamics of a system of particles (70F20)
Related Items (2)
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
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- A state-space dynamical representation for multibody mechanical systems. I: Systems with closed loops
- Application of graph theory to the mathematical modelling of a class of rigid body systems
- 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
- Application of graph theory to the determination of potential energy of systems consisting of rigid bodies and springs
- 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
- Computerized generation of symbolic equations of motion for spacecraft
- A Systems Approach to Three-Dimensional Multibody Systems Using Graph-Theoretic Models
- Analytische Dynamik von Mehrkörpersystemen
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