Discrete Limit Analysis for Framed Structures by using Hybrid-type Penalty Method

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本論文では，HPMによる2次元，3次元の進行型破壊の解析において，杭やアンカーなどをモデル化するための線材を利用できるようにするため、HPMの平面要素やソリッド要素と同じ形式の変位場を有し，同じ手法で離散化するHPMのはり要素を開発した．そして，骨組構造の離散化極限解析を行い得られる解の精度を検討したところ，厳密解と同じ極限荷重や崩壊形式を得ることができた．

In this study, bar elements for the hybrid-type penalty method (HPM) are developed. In this method for calculating the displacement field, it is assumed that an independent linear displacement field for the axial direction and an independent third-order displacement field for the bending of each element are combined. This model has six degrees of freedom: strain, gradient of strain, and the rigid-body displacement of the center of gravity of the elements. The continuity conditions of displacement are incorporated by using a penalty function. The elastic solution obtained with this method is consistent with the exact solution. The incremental loading method is used in the proposed discrete limit analysis. Because this method generates each plastic hinge sequentially, the progress of destruction can be followed. Accurate collapse loads and modes were obtained using numerical analysis.

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