Geometric accurate inflexible stripe simulation method

Abstract

The invention discloses a geometric accurate inflexible stripe simulation method. A special ruled surface is used for describing a two-dimensional curved surface corresponding to an inflexible stripe, a thin shell model is combined to obtain an energy model described by a stripe center line; compared with the traditional method that the thin shell model is directly applied to the two-dimensional curved surface and triangle or quadrilateral dispersion is carried out, the simulation method has the advantages that algorithm complexity is greatly reduced and solving efficiency is improved. A 'quaternion-center line node coordinate-shielding failure rate curvature ratio' generalized coordinate is used for describing the stripe center line, the obtained motion equation can be stably and efficiently solved, and an external force and a moment are convenient to apply. Finally solving of the motion equation is simplified into two steps of quasi-statically updating deformation of a twisting part and dynamically updating the deformation of a curved part by utilizing the fact that frequency of deformation of the twisting part of a stripe is higher than the frequency of the curved part, thus calculation overhead is reduced while accuracy of dynamic track is hardly reduced.

Description

technical field

[0001] The invention relates to a physics-based elastic body simulation method in animation production and industrial production, in particular to a geometrically accurate non-stretchable strip simulation method. technical background

[0002] Non-stretchable strip-shaped objects refer to objects that are geometrically between cables and cloth, that is, objects with negligible thickness and width much smaller than length; in terms of strain, they are easy to bend and twist, but extremely difficult Stretch or compress. In the macroscopic world, non-stretchable strip objects can be decorative tapes, paper strips, belts and even film films, which often appear in movies, games or animations; while in the microscopic world, strip-shaped objects abound, such as Ribbons from graphene, ribbons from crystal production, DNA or some biochemical polymers. An accurate and efficient simulation method is a desired tool for art special effects, game development, industrial ...

Images