### Abstract

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}, D_{2}, D_{3},... 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 language | English |
---|---|

Pages (from-to) | 1657-1668 |

Number of pages | 12 |

Journal | Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A |

Volume | 79 |

Issue number | 807 |

Publication status | Published - 2013 |

Externally published | Yes |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

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

### Cite this

*Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A*,

*79*(807), 1657-1668.

**Load transfer ustar (U*) calculation in structures under dynamic loading.** / Takahashi, Kunihiro; Omiya, Masaki; Iso, Tomoyuki; Zaiki, Yutaka; Sakurai, Toshiaki; Maki, Tetsuo; Urushiyama, Yuta; Naito, Tadashi.

Research output: Contribution to journal › Article

*Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A*, vol. 79, no. 807, pp. 1657-1668.

}

TY - JOUR

T1 - Load transfer ustar (U*) calculation in structures under dynamic loading

AU - Takahashi, Kunihiro

AU - Omiya, Masaki

AU - Iso, Tomoyuki

AU - Zaiki, Yutaka

AU - Sakurai, Toshiaki

AU - Maki, Tetsuo

AU - Urushiyama, Yuta

AU - Naito, Tadashi

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

KW - Collision

KW - Computational mechanics

KW - Dynamic loading

KW - Finite element method

KW - Load path

KW - Load transfer

KW - Structural analysis

KW - Structural design

KW - U

KW - Ustar

UR - http://www.scopus.com/inward/record.url?scp=84891882348&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84891882348&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84891882348

VL - 79

SP - 1657

EP - 1668

JO - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A

JF - Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A

SN - 0387-5008

IS - 807

ER -