CONSISTENT INFINITESIMAL FINITE-ELEMENT - CELL METHOD - OUT-OF-PLANE MOTION

被引：41

作者：

SONG, CM

WOLF, JP

机构：

[1] Inst. of Hydr. And Energy, Dept. of Civ. Engrg., Swiss Federal Inst. of Technol. Lausanne, Lausanne, CH

来源：

JOURNAL OF ENGINEERING MECHANICS-ASCE | 1995年 / 121卷 / 05期

关键词：

D O I：

10.1061/(ASCE)0733-9399(1995)121:5(613)

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

To calculate the unit-impulse response matrix of an unbounded medium for use in a time-domain analysis of medium-structure interaction, the consistent infinitesimal finite-element-cell method is developed. Its derivation is based on the finite-element formulation and on similarity. The limit of the cell width is performed analytically, yielding a rigorous representation in the radial direction. The discretization is only performed on the structure-medium interface. Explicit expressions of the coefficient matrices for the out-of-plane (antiplane) motion are specified, which depend only on the geometry of the structure-medium interface and the material properties of the unbounded medium. For each time step, a linear system of equations is solved. The calculated unit-impulse response matrix is symmetric. In contrast to the boundary-element formulation, no fundamental solution is necessary, and the conditions on the boundaries extending from the structure-medium interface to infinity are incorporated automatically. Applications of the consistent infinitesimal finite-element-cell method to the semiinfinite wedge and the strip footing with rectangular cross section embedded in a half plane show excellent accuracy.

引用

页码：613 / 619

页数：7

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