Definition of Non-Dimensional Strain Energy for Thin Plate in the Absolute Nodal Coordinate Formulation

The absolute nodal coordinate formulation is a technique developed for the analysis of flexible multibody dynamics in the mid-1990s, and it is possible to express large displacement, rotation and deformation. Despite these advantages, there is a disadvantage of an increase in analysis time due to an increase in degrees of freedom. A nondimensional equation of motion has been applied as one of the methods to reduce the analysis time. In this study, the efficiency was confirmed by using the non-dimensional equation of motion for the thin plate in the absolute nodal coordinate system. The process of deriving the non-dimensional mass matrix and force vector was omitted, and the process of deriving the non-dimensional stiffness matrix was explained. The behavior of thin plate fastened with spherical joints in the gravitational field was confirmed, and it was confirmed that as the number of elements increased, the analysis time of the non-dimensional equations of motion was shortened compared to the dimensional equations of motion.