Analysis of Elastodynamic Problems Based on the Principle of Superposition (Extention of the Body Force Method to Elastodynamic Problems)

Dai Heng Chen, Hironobu Nisitani, Hiroshi Noguchi

研究成果: ジャーナルへの寄稿記事

抄録

In this study, the body force method was extended to the analysis of elastodynamic problems. By inserting the region in question into the adjoint region, it was possible to reduce the given elastodynamic problem to an elastodynamic problem of an infinite body. The general integral formula was obtained based on superposition of the elastodynamic fields of a point force and a discrepancy in the time-space region. Therefore, analysis of the elastodynamic problem was reduced to a calculation of the unknown densities of force or discrepancy distributed along the imaginary boundary. The direct or indirect methods of BEM can be seen as special cases of the general formula proposed in this study. The effectiveness of the method was shown by analyzing an example of the elastodynamic problems of a half space with initial conditions subjected to uniform surface pressure.

元の言語英語
ページ(範囲)1584-1592
ページ数9
ジャーナルTransactions of the Japan Society of Mechanical Engineers Series A
55
発行部数515
DOI
出版物ステータス出版済み - 1 1 1989

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

これを引用

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abstract = "In this study, the body force method was extended to the analysis of elastodynamic problems. By inserting the region in question into the adjoint region, it was possible to reduce the given elastodynamic problem to an elastodynamic problem of an infinite body. The general integral formula was obtained based on superposition of the elastodynamic fields of a point force and a discrepancy in the time-space region. Therefore, analysis of the elastodynamic problem was reduced to a calculation of the unknown densities of force or discrepancy distributed along the imaginary boundary. The direct or indirect methods of BEM can be seen as special cases of the general formula proposed in this study. The effectiveness of the method was shown by analyzing an example of the elastodynamic problems of a half space with initial conditions subjected to uniform surface pressure.",
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