Kinetic energy description model and kinetic simulation method based on rotation strain coordinates

A technology for describing models and simulation methods, which is applied in the computer field and can solve problems such as high nonlinearity, distortion of simulation results, and increased computational complexity

Active Publication Date: 2016-07-20
ZHEJIANG UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

However, in the subspace method of the traditional Euclidean space, using a smaller subspace will cause serious distortion of the simulation results
Although the error can be reduced by increasing the size of the subspace, this approach will quickly increase the computational complexity, usually because the dynamical system in the traditional Euclidean space method is too nonlinear

Method used

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  • Kinetic energy description model and kinetic simulation method based on rotation strain coordinates
  • Kinetic energy description model and kinetic simulation method based on rotation strain coordinates
  • Kinetic energy description model and kinetic simulation method based on rotation strain coordinates

Examples

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Embodiment 1

[0055] This embodiment simulates the movement process of a horizontally placed elastic fork model bent downward under the influence of gravity when the end of the fork handle is fixed. The implementation process is as follows:

[0056] 1) Construct any group of basis B in Euclidean space and its corresponding coordinate x, and any group of basis in rotation strain space and its corresponding rotational strain coordinates

[0057] 2) Use Newton's method to solve the following nonlinear time step equation to obtain the rotational strain coordinates of step n+1

[0058] ∂ x ∂ x ~ n + 1 T M Δt 2 ( ...

Embodiment 2

[0068] What this embodiment simulates is the movement process of the elastic dinosaur model, and the implementation process is the same as that of Embodiment 1. Figure 7 It is a comparison diagram of the simulation effect of elastic dinosaur movement simulated by the present invention and the same movement effect of the "full space" method. The dark dinosaur skeleton in the figure is the simulation effect of the "full space" method, and the light colored dinosaur skeleton is the simulation of the present invention Effect. Figure 7 It shows that the results of the simulation of the present invention and the simulation results of the "full space" method basically have a hickey, indicating that the simulation effect of the present invention is basically consistent with that of the "full space" method, and has high simulation accuracy.

[0069] Figure 8 and Figure 9 It is a comparison chart of the elastic dinosaur movement effect simulated by the traditional Euclidean space ...

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Abstract

The invention discloses a kinetic energy description model and kinetic simulation method based on rotation strain coordinates. For a flexible body represented by a tetrahedral grid, the rotation strain coordinates are employed as a kinetic energy description model and a potential energy description model for variable description; a rotation strain space is then constructed, and any one matrix and its corresponding rotation strain coordinates are obtained; a time stepping equation is solved through a value simulation calculation method, and the rotation strain coordinates are obtained; Euclidean coordinates are obtained by performing transformation on the rotation strain coordinates by use of a transformation function; and kinetic simulation is completed by repeating these steps until specific termination conditions are met. The model and method provided by the invention can reduce the nonlinearity of a kinetic system, especially when a subspace method is adopted, further reduce the computation complexity while maintaining simulation accuracy compared to a conventional Euclidean space method, improve the calculation efficiency and greatly improve the effect and the efficiency of kinetic simulation.

Description

technical field [0001] The invention relates to a physical model and a physical simulation method in the field of computers, in particular to a dynamic energy description model based on rotational strain coordinates and a simulation method thereof. technical background [0002] In computer graphics, elastic body modeling under large deformation is a very important topic. Considering the complexity of shape and motion, objects are often discretized into a tetrahedral grid composed of a large number of elements, which means that the conventional finite element method needs to solve a very high-dimensional motion equation, and the calculation requirements are too high. To this end, many works have proposed subspace methods to reduce the dimensionality of the system. [0003] The subspace method refers to a class of methods that solve problems in the subspace contained in the original solution space, and its main advantage is that the computational complexity is lower than that...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06T13/40G06T19/20
CPCG06T13/40G06T19/20
Inventor 黄劲鲍虎军潘哲融
Owner ZHEJIANG UNIV
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