In a companion paper, the fundamentals of vector space geometric algebra and plane-based geometric algebra were developed. Plane-based geometric algebra was found to be well suited for describing the kinematics… Click to show full abstract
In a companion paper, the fundamentals of vector space geometric algebra and plane-based geometric algebra were developed. Plane-based geometric algebra was found to be well suited for describing the kinematics of multibody dynamics: all required operations are performed using algebraic manipulations only and singularities are avoided altogether. The present paper presents applications of plane-based geometric algebra to problems of rigid and flexible multibody dynamics. The formulation of rigid bodies, flexible joints, geometrically exact beams, and lower-pair joints are developed.
Journal Title: Journal of Computational and Nonlinear Dynamics
Year Published: 2024
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