Geometric accurate inflexible stripe simulation method

A simulation method and strip technology, applied in the field of elastic body simulation, can solve problems such as low computational efficiency

Inactive Publication Date: 2012-03-28
ZHEJIANG UNIV
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Problems solved by technology

Although this type of method combined with a suitable length constraint processing strategy can ensure the "developable" surface of the non-stretchable strip, however, this type of method needs to perform triangular or quadrilateral discretization on the two-dimensional surface during calculation, and the simulated strip will unnecessarily introduce Large number of discrete elements, making calculations inefficient

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  • Geometric accurate inflexible stripe simulation method
  • Geometric accurate inflexible stripe simulation method
  • Geometric accurate inflexible stripe simulation method

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Embodiment Construction

[0041] The present invention will be further described below in conjunction with drawings and embodiments.

[0042] like figure 1 As shown, a geometrically accurate non-stretchable strip simulation method proposed by the present invention includes 8 key parts: geometric description of the strip, derivation of elastic potential energy, derivation of kinetic energy, selection of generalized coordinates to obtain energy and constraints, discretization Energy and constraints, derivation of strategies for solving equations of motion in steps, simplification towards constraints, and derivation of transition functions. With these 8 key parts, the calculation process of the computer is to solve the equation of motion, which is divided into 6 steps, input t 0 The state of the strip at time, update the torsion-related deformation quasi-statically, post-process A, dynamically update the bending-related deformation, post-process B and generate the strip shape at time t1.

[0043] A geom...

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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 ...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06T13/80
Inventor 黄劲鲍虎军沈中伟
Owner ZHEJIANG UNIV
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