Application of symplectic scheme to three-dimensional elastic analysis using MPS method

Masahiro Kondo, Seiichi Koshizuka, Yukihito Suzuki

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

A calculation method for three-dimensional elastic solid analysis is proposed using the Moving Particle Semi-implicit method (MPS). The angular velocities and the rotation angles of each particle are implicitly calculated from the velocities and coordinates of the neighbor particles respectively. Large deformation accompanied by rigid rotation can be analyzed with keeping the total energy by employing a symplectic scheme. By introducing a viscosity term, the total energy can be decreased without loss of angular momentum.

Original languageEnglish
Pages (from-to)425-431
Number of pages7
JournalNihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
Volume72
Issue number4
Publication statusPublished - 2006
Externally publishedYes

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Angular momentum
Angular velocity
Viscosity

Keywords

  • Dynamic Analysis
  • Elasticity
  • Large Deformation
  • MPS Method
  • Structure Analysis

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

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AU - Koshizuka, Seiichi

AU - Suzuki, Yukihito

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N2 - A calculation method for three-dimensional elastic solid analysis is proposed using the Moving Particle Semi-implicit method (MPS). The angular velocities and the rotation angles of each particle are implicitly calculated from the velocities and coordinates of the neighbor particles respectively. Large deformation accompanied by rigid rotation can be analyzed with keeping the total energy by employing a symplectic scheme. By introducing a viscosity term, the total energy can be decreased without loss of angular momentum.

AB - A calculation method for three-dimensional elastic solid analysis is proposed using the Moving Particle Semi-implicit method (MPS). The angular velocities and the rotation angles of each particle are implicitly calculated from the velocities and coordinates of the neighbor particles respectively. Large deformation accompanied by rigid rotation can be analyzed with keeping the total energy by employing a symplectic scheme. By introducing a viscosity term, the total energy can be decreased without loss of angular momentum.

KW - Dynamic Analysis

KW - Elasticity

KW - Large Deformation

KW - MPS Method

KW - Structure Analysis

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