TOP > 外国特許検索 > Orthogonal basis bubble function element numerical analysis method, orthogonal basis bubble function element numerical analysis program, and orthogonal basis bubble function element numerical analyzing apparatus

Orthogonal basis bubble function element numerical analysis method, orthogonal basis bubble function element numerical analysis program, and orthogonal basis bubble function element numerical analyzing apparatus

外国特許コード F110005493
整理番号 K07604WO
掲載日 2011年9月6日
出願国 アメリカ合衆国
出願番号 79165905
公報番号 20070299641
公報番号 7881912
出願日 平成17年11月25日(2005.11.25)
公報発行日 平成19年12月27日(2007.12.27)
公報発行日 平成23年2月1日(2011.2.1)
国際出願番号 JP2005021727
国際公開番号 WO2006057359
国際出願日 平成17年11月25日(2005.11.25)
国際公開日 平成18年6月1日(2006.6.1)
優先権データ
  • 特願2004-343213 (2004.11.26) JP
  • 特願2005-071239 (2005.3.14) JP
  • 2005WO-JP21727 (2005.11.25) WO
発明の名称 (英語) Orthogonal basis bubble function element numerical analysis method, orthogonal basis bubble function element numerical analysis program, and orthogonal basis bubble function element numerical analyzing apparatus
発明の概要(英語) (US7881912)
A known analytical physical quantity of an analysis subject and an element level consistent mass matrix of each element are obtained by acquiring units.
A bubble function is integrated for each element, and the element level diagonal mass matrix of each element is computed by substituting the value that is integrated for the element level consistent mass matrix of each element.
The diagonal mass matrix for the entire analysis region is computed by the summation (superposition) of the element level diagonal mass matrices of each element and inverse matrix thereof is computed.
A motion of the analysis subject is analyzed based on the known analytical physical quantity, the diagonal mass matrix for the entire analysis region, and the inverse matrix thereof.
特許請求の範囲(英語) [claim1]
1. A numerical analysis method, comprising: acquiring a consistent mass matrix of each element of a subject;
generating, based on a bubble function of each element, a first diagonal mass matrix of each element, the first diagonal mass matrix being the consistent mass matrix that is diagonalized;
analyzing a motion of the subject based on a known physical quantity of the subject and the first diagonal mass matrix; and
computing a second diagonal mass matrix of an entire analysis region based on the first diagonal mass matrix,
wherein the generating includes generating the first diagonal mass matrix by substituting an integration value of the bubble function of each element into the consistent mass matrix, wherein the integration value is found by employing the following equations:
(Equation image 90 not included in text)
[claim2]
2. A numerical analysis method, comprising: acquiring a consistent mass matrix of each element of a subject;
generating, based on a bubble function of each element, a first diagonal mass matrix of each element, the first diagonal mass matrix being the consistent mass matrix that is diagonalized; and
analyzing a motion of the subject based on a known physical quantity of the subject and the first diagonal mass matrix, further comprising:
computing a second diagonal mass matrix of an entire analysis region based on the first diagonal mass matrix; and
computing an inverse matrix of the second diagonal mass matrix, wherein
the analyzing includes analyzing the motion based on the known physical quantity, the second diagonal mass matrix, and the inverse matrix, wherein the generating includes generating the first diagonal mass matrix by substituting an integration value of the bubble function of each element into the consistent mass matrix, wherein the integration value is found by employing the following equations:
(Equation image 91 not included in text)
[claim3]
3. A numerical analysis apparatus, comprising: an acquiring unit that acquires a consistent mass matrix of each element of a subject;
a generating unit that, based on a bubble function of each element, generates a first diagonal mass matrix of each element, the first diagonal mass matrix being the consistent mass matrix that is diagonalized; and
an analyzing unit that analyzes a motion of the subject based on a known physical quantity of the subject and the first diagonal mass matrix, further comprising:
a first computing unit that computes a second diagonal mass matrix of the entire subject based on the first diagonal mass matrix; and
a second computing unit that computes an inverse matrix of the second diagonal mass matrix, wherein
the analyzing unit analyzes the motion based on the known physical quantity, the second diagonal mass matrix, and the inverse matrix, wherein the generating includes generating the first diagonal mass matrix by substituting an integration value of the bubble function of each element into the consistent mass matrix, wherein the integration value is found by employing the following equations:
(Equation image 92 not included in text)
  • 発明者/出願人(英語)
  • MATSUMOTO JUNICHI
  • JAPAN SCIENCE AND TECHNOLOGY AGENCY
  • NATIONAL INSTITUTE OF ADVANCED INDUSTRIAL SCIENCE AND TECHNOLOGY
国際特許分類(IPC)
米国特許分類/主・副
  • 703/2
  • 345/175
  • 345/420
  • 345/423
  • 703/6
  • 703/9
  • 703/18
  • 703/22
参考情報 (研究プロジェクト等) PRESTO The Innovation of Simulation Technology and the Construction of Foundations for its Practical Use AREA
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