Load transfer ustar (U*) calculation in structures under dynamic loading

Kunihiro Takahashi, Masaki Omiya, Tomoyuki Iso, Yutaka Zaiki, Toshiaki Sakurai, Tetsuo Maki, Yuta Urushiyama, Tadashi Naito

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


To satisfy the requirements of high stiffness and lightweight structures, it is necessary to imagine the figure of an entire structure from the viewpoint of load transfer. A parameter Ustar (U*), which is independent of stress and strain, has been introduced by the authors for expressing load transfer under static loading. In the present study, we extend the definition of U* to dynamic loading. Three points: a loading point A, a support point B, and an arbitrary point C are the representative points in a structure for the conventional definition of U*. We introduced additional points D 1, D2, D3,... for the expression of inertial forces under dynamic loading. New internal stiffness tensors are introduced to account for the effect of inertial forces. We find that a new internal stiffness can be expressed by the conventional internal stiffness, which implies that the high-speed computational algorism of the conventional U* is still applicable. Although the present method is intended to be applied to vehicle bodies under collision, the simple case for the plate is calculated here to verify the effectiveness of the method.

Original languageEnglish
Pages (from-to)1657-1668
Number of pages12
JournalNihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
Issue number807
Publication statusPublished - 2013
Externally publishedYes


  • Collision
  • Computational mechanics
  • Dynamic loading
  • Finite element method
  • Load path
  • Load transfer
  • Structural analysis
  • Structural design
  • U*
  • Ustar

ASJC Scopus subject areas

  • General Materials Science
  • Mechanics of Materials
  • Mechanical Engineering


Dive into the research topics of 'Load transfer ustar (U*) calculation in structures under dynamic loading'. Together they form a unique fingerprint.

Cite this