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Geometric property description model and dynamic simulation method of inextensible strip-shaped objects

A simulation method and a technology for describing models, which are applied in special data processing applications, instruments, electrical digital data processing, etc., and can solve problems such as computational performance degradation

Active Publication Date: 2018-04-20
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 description model and dynamic simulation method of inextensible strip-shaped objects
  • Geometric property description model and dynamic simulation method of inextensible strip-shaped objects
  • Geometric property description model and dynamic simulation method of inextensible strip-shaped objects

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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]

[0080] In the formula, a represents the order of the Taylor expansion, D represents the material stiffness, u represents the parameter coordinates representing on...

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Abstract

The invention discloses a geometric description model and a dynamic simulation method of an inextensible strip-shaped object. For inextensible strip objects, the canonical central curve is used as the description model of the geometric properties, and the model includes the length-preserving constraint of the central curve, the non-intersecting constraint of generatrices and a boundary condition. The generalized coordinates are constructed to represent the strip surface, and the elastic potential energy model is established for the rectangular strip-shaped developable surface, which is used to calculate the internal stress in the rectangular strip-shaped developable surface; the rectangular strip-shaped developable surface is calculated by numerical simulation calculation method Movement of the surface. The invention can accurately describe the geometric properties of strip-shaped objects, accurately ensure the inextensibility of strip-shaped curved surfaces, require fewer degrees of freedom during simulation, and do not need a large number of length-preserving constraints, and can handle possible problems in simulation. The degradation that occurs, so that the efficiency and stability of the calculation are greatly improved compared with the traditional 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 Patents(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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