Geometric property descriptive model of banded object which cannot extend, and dynamics simulation method

A technique to describe models and geometric properties, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as computational performance degradation

Active Publication Date: 2016-02-17
ZHEJIANG UNIV
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Problems solved by technology

However, this mode will directly lead to a significant drop in computing performance due to the need for high-resolution grids and a large number of length-preserving constraints.

Method used

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  • Geometric property descriptive model of banded object which cannot extend, and dynamics simulation method
  • Geometric property descriptive model of banded object which cannot extend, and dynamics simulation method
  • Geometric property descriptive model of banded object which cannot extend, and dynamics simulation method

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Embodiment Construction

[0073] The present invention will be further described below in conjunction with drawings and embodiments.

[0074] The symbols ''' in the present invention all represent the first-order derivative of the variable to the parameter coordinate u of the canonical central curve, and the symbols '‥' all represent the second-order derivative of the variable to time.

[0075] Embodiments of the present invention are as follows:

[0076] 1) Construct a generalized coordinate g, which is represented by the following triples:

[0077] g={q,η,r}

[0078] 2) Establish an elastic potential energy model using the following formula for the rectangular strip-shaped developable surface S, and calculate the internal stress in the rectangular strip-shaped developable surface S through the elastic potential energy model:

[0079] V = Σ a = 0 ∞ w ...

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Abstract

The invention discloses a geometric property descriptive model of a banded object which cannot extend, and a dynamics simulation method. For a banded object which cannot extend, a regular center curve is used as a descriptive model of geometric properties. The model comprises a center curve length-preserving constraint and a generatrix non-intersecting constraint, and a boundary condition. The method comprises establishing generalized coordinates to represent a banded curved surface, establishing an elastic potential energy model for a rectangular banded developable surface, the potential energy model being used for calculating internal stress in the rectangular banded developable surface; and calculating motion of the rectangular banded developable surface through a numerical simulation calculation method. The model can precisely describe geometric properties of a banded object, and can accurately ensure non-extensibility of the banded curve surface. In simulation, required freedom degree is relatively few, and large amount of length-preserving constraint is not needed, and a degradation condition which may occur in simulation can be processed. Thus, efficiency and stability of a computer is greatly improved than those of a conventional method.

Description

technical field [0001] The invention relates to a model and a physical simulation method, in particular to a geometric property description model and a dynamic simulation method of an inextensible strip-shaped object, and is mainly aimed at developing a rectangular strip-shaped curved surface. technical background [0002] Ribbon-shaped objects are quite common in daily life, such as film, paper strips, decorative ribbons and so on. Such objects are generally narrow, flat and non-stretchable in their natural state. Geometrically, the strip-shaped object can be abstracted as a smooth developable surface, that is, a ruled surface. This special geometric property endows ribbon-shaped objects with some important static and dynamic properties, making it a great challenge for existing methods to simulate such objects. [0003] Although there are many simulation methods for rod-shaped objects and thin shells in the field of physical simulation, these methods are not suitable for ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
Inventor 鲍虎军黄劲赵晓波陈为沈中伟
Owner ZHEJIANG UNIV
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