Traversing Singularities in Nonlinear Analyses on Cable Network Structures

研究成果: Article査読

1 被引用数 (Scopus)

抄録

Nonlinear analyses of cable network structures using Newton's iteration often encounter difficulties in solving for a singular stiffness matrix stemming from the tension-stabilizing nature and slackening of cables. This paper presents a solution method, called null space projection, to traverse such a singular linear system in Newton's iteration. In the method, the current unbalance of internal and external forces is projected on the null space of the stiffness matrix and the contributions of null space basis for the variable updating are derived such that the total potential energy is reduced. Numerical example shows that the method successfully traverses singular systems in Newton's iteration process and consequently gives the equilibrium state of the structure.

本文言語English
ページ(範囲)867-874
ページ数8
ジャーナルTransactions of the Japan Society of Mechanical Engineers Series A
60
571
DOI
出版ステータスPublished - 1994
外部発表はい

ASJC Scopus subject areas

  • 材料科学(全般)
  • 材料力学
  • 機械工学

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