SIMULATION APPARATUS FOR PREDICTING BEHAVIOR OF MASS POINT SYSTEM

摘要

A simulation apparatus, including: a coordinate setting unit for setting slow coordinates and fast coordinates based on mass point coordinates; a coordinate extraction unit for obtaining a structure of the fast coordinates by subordinating the fast coordinates to the slow coordinates and obtaining, by taking into account influence of a change in the fast coordinates on the slow coordinates due to a change in the slow coordinates, a structure of the slow coordinates as a function of collective coordinate(s); and an inverse transformation unit for predicting time evolution of the mass point coordinates based on the collective coordinate(s), which can be obtained as a solution of a motion equation, structure of the slow coordinates, and structure of the fast coordinates.

主权项

1. A simulation apparatus for predicting behavior of a mass point system constituted by modeled N mass points, the apparatus comprising:
a coordinate setting unit for setting slow coordinates which are M coordinates mainly assuming a structural change in the mass point system based on 3N mass point coordinates describing a structure of the mass point system and fast coordinates which are coordinates describing the structure of the mass point system and being independent of the slow coordinates; a coordinate extraction unit for obtaining a structure of the fast coordinates as a function of the slow coordinates by subordinating the fast coordinates to the slow coordinates and obtaining, by taking into account influence of a change in the fast coordinates on the slow coordinates due to a change in the slow coordinates, a structure of the slow coordinates as a function of K collective coordinate(s) of a general coordinate which is associated with the slow coordinates by a canonical transformation, wherein the general coordinate is constituted by a variable component that varies with time and an invariable component that serves as a constant with respect to time and the K collective coordinate(s) is the variable component of the general coordinate; and an inverse transformation unit for predicting time evolution of the mass point system based on the collective coordinate(s) as a function of time, which can be obtained as a solution of a motion equation with respect to the collective coordinate(s), the structure of the slow coordinates, and the structure of the fast coordinates, wherein, K, M, and N satisfy the relationship K