AREA DIVIDING METHOD FOR ANALYSIS OF VARIOUS PROBLEMS OF SOLID DYNAMICS AND METHOD FOR DISCRETELY ANALYZING VARIOUS PROBLEMS OF SOLID DYNAMICS

摘要

PROBLEM TO BE SOLVED: To provide an area dividing method, for which a nodal point is not used in the approximate analysis of various problems of solid dynamics, and a method for discretely analyzing various problems of solid dynamics while applying this area dividing method.;SOLUTION: First of all, an analysis object area is divided into plural small areas (S1) and a state vector field is assumed by approximating the state vectors of respective small areas with the finite polynomial of a coordinate variable in an orthogonal curve coordinate system (S2). Next, the coordinate transformation of a boundary side (or boundary plan) is performed concerning the said finite polynomial (S3). The relational expression of an unfixed coefficient in the finite polynomial transformed in S3 is generated on the basis of a prescribed variation equation (S4). A square matrix is generated by adjusting the number of unfixed coefficients provided in S4 and multi-dimensional simultaneous linear equations with the unfixed coefficients as a square matrix are prepared (S5). Since respective elements (small areas) can be independently handled, the compression and solving calculation of simultaneous linear equations are performed by executing the skipped compressing processing of the matrix (S6). The accuracy of the approximate solution provided in S6 is investigated and when the accuracy is within an allowable error, the analytic calculation is finished. In the other case, processing is returned to S1 and analysis is performed by further dividing that small area or processing is returned to S2 and the element polynomial solution is reset.;COPYRIGHT: (C)2000,JPO